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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta charset="utf-8">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta http-equiv="Content-Style-Type" content="text/css" />
<meta name="generator" content="pandoc" />
<meta name="author" content="Stefan Buchholz" />
<title>Weight Lifting Exercise</title>
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xaXpygKB5dWVlFrb5mQOydwB7i0J6ubFjh7npdh1XXdKUdEAmoj3W5Db4m4QE1LVCapO1XgH2D%2FkB08JF83SNM9ZhZf5I9%2B7Rz8J%2FI3IIfrMb5LHcjByu%2BUvGUKxQ%2FkcaLYdZ40f8JWOkw%2BA4iEBtlYSmddP1HFw%2FdKtShd1YQrncW61ZeqsIAcmYleEIEKAhx1ry8ND6aFh%2F8V9VHtiPdBPGObFcRVTzQgcz40RO7WEpW0ba3k2z3i6zBvlL9xO4ka%2F1EVnLTSa%2Buo%2BmkNzrwWDyPcz4lWOAxAp2%2BTrKORXoPGvm6d5aKpzt50u4573rAOfhP1CUXfpbjl36l4XWpysmXBCr6PbGqqsTnSRvReJFj4Xl9rvYfHFko%2FqPrb9YYEpV1CsKxTiSrXhisap%2F%2BC%2B6uu%2F8CZVz1iWlY7fGdnKxd2eM7WS2lcof2ANfjrBHRsoomvoE%2BuiF%2FpXpsCFnJYVZIVk7UsM85PYeLXYofPYf9H42YsMdtUq%2FMTd79Ho4bf2S7Gq9PVRxDC6lKG1VpVBV9cvFXGr6oVycSFZ%2FauXWquCnKooTpFvcfy0YiWVX%2BI%2FD8UOPXvp%2BE5%2Bom3JHt0IXP6MxS5U%2FAqovYd3l62%2BltAxkkq6q7T7LR3xT%2Bcz8gICtekEZU28Hq3d9JkEXhcfclufMmmZusgqh%2B5ww%2B7k3Vwcd9XbHh1JbiELt3Fu67QYbvmRs%2FCg5by%2Fr3TnRlZXhu7ijl5o6qlZ%2BrQrpkGp3PTVTZFKpwyqWabnH%2Fce5T6T%2Ba%2BNhiV5b7vOiQWG1XNvGNzngqewJWX%2BO7%2BPupIVbDas6n8HPju1ZMXmrvkcJ%2FhQ1Ya89RaqlV9P%2Bu0DacBdfrcx5rlPXMqW5%2B%2FVv8cfLHuP4t%2F6ZgDdhPFR8DGRmRoMk6R6Yc9MgU65TdN%2BKH32y1gyJruJn9x3%2BQ4%2B1zUvkZZYoyqq52HfJR1T3OUca8Ss9VrVhgoR1nngEaUXl%2BEwnEj%2B5Lg7fIsNx%2FsEWwXdT%2BI%2FD8UOO75zqXdKad2WS2XFS9L3XHH%2FH3m9r4nePnO%2F7Ys%2Fk6qErLYy0lJ6agZeeN%2FwwccYGT1QoEPwJqvCIveWiGhaw0jqw4olppFhqa8b%2FC%2BdTSMfJ8SlX%2Fp%2B918A8%2Bor5fxP%2FNTuvM3TtoeHe%2FThlVC9NKslFVNwNc6blq86mEHcyuYlSiOqOvmLPKAkLhPzbxCP6j62%2B9f0qwwjHOiiWI80kKVVktH0mD79lpNHuEPZ9yx6Q3iKpAKUiIS%2BdKK4ZmEpg0z1gZ%2FjhD12TDPydq2A6DMfTF%2FCCSlRZO0fLXPJsLM9o5%2FJ%2BS1UU8jHffrIaAVo2H93qXRX3g%2FV5fZeaqtAxwpeeqH3Trtr4z%2Boo5qyzjqus%2FuvixZ5JszVn3T9bAuDz2jM54qngC1XyGupJhFtiO%2BapVZZeFqvBG9bLT64cJ8zEW2juBk3sMRUbTMA9ggQX%2FxuNExVKRpvwrklXWFA5ZaUTl2d%2FRNOseP4pZYB18QoGHvnMyyNx5aXCbSf9x47s%2BV9Vv%2FQ2nBFacueFU%2BfxH298aemcj%2BAollosRz0QwI9ygM56qmBNbdKZpA5nYorobKAtV1yzEXc4xMjWQ2Xzu%2BE7FzK0BZnfYN3ezIOaa7cYL%2BL91Kw6%2BwooX2cJdqES1Yl3fwkumIJzZeGJX6gvVmzcdfOOV0JL6h1jjlZuVAa78e1Xd1scYiWP5mRhHlc9%2F9PFYhwhrwqz%2BfBOLKP8AaClJVcxhKRb%2FbHAgM5D5bBD67tR1UFX8XUSS8JcpqS8QN340V4kWuHQHNRnlvBhKfbH7Vr8H6fkKWPUwq6eGeuYgy1ZNqcPGOz6%2BR9SZ1V7of6CvfPi4Z0Y6zuSjamFa6bv2XhUpNzRDI2ruGXdyLNC1U%2FVs9fxHH4912DsxkOnMds9tPgd%2FPNEpvw99qvKrPL3r8FZaC3Vl26BE558ratV5h5brrxqrSjZWe2oL%2FbGSS62BPrSGWgP31eFR1ZYP7%2F23Jv5tWjqelgG%2BMe9VoU1C5X6i5fIfCh7GYRjtwIM65C%2FhnJc6S%2F9XnldPHdKgJoWtn6q6WQa0qq4yZuwG%2BY%2FxN2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYseVnpcgqGjNm7EYTNd1MEGK0kaUITo7BMiNUZj1D6RBgIRmWfxAO%2FFpHr1Vl6qOHh2WCxTJWwxWpzzycMW1rU6TJ5QMexTRpz5cqLpp7Tvw4WJlhBGp%2BBo7p79qA4m5Bmngs%2F5fXJWZFOsN86VmYRFb3agsKnuuswqLabGc2wig6q2t%2BjKX3TfZN4tc1P6Y0CV1XT7c%2Buvjor4tXpcgXo5daH5QVaUf8fJhRy0f8ShZltOdLW1lj1bW5cG1qRVxmL77HjjgmvE9R%2FzPNIBmL4pz2%2FS4zGXS56nQyJ70tVuA43%2FnhhXCDWLVTsHLHWSNKIav78VHwuOp%2FIIMipCx1YtdARq2zGvoUS986vnXcXu35aXmpqlsfXTwuQ3eviwCdg68rVx9cjSm%2F72K8qp0Ka69yLaEXBOWD7i5NogZ0pBfagNRNqJFxxsqEFfWPwLL%2B09uwHqe3jaYjJJ1eWCSe0SKcjaeJvbvxVmCVVIo0mRsZbeHSfvd3JVC1cDG3mnyFKyZVeNRZBYmKOKvFKsJysjg6o%2BzmrAAX9OBrN1HQg9KAVKq66wPik8r6uPCT1iQBH4jbAtCO9c7Gmb8KgVM%2BfqdTH%2Fyu9bWEasxz4a06Nd5xLnewJl9aLgT0WD2Vqon8Ot6IYncG62CUwRrSIF%2FgCGtkgnsnosow2zrYZMcO3HPU%2FiPwqxhxq40cvmkhMjI00%2FaV%2FG5xiVySOYQtkapLVRdU5HNTVb3sG3VWD28VlUA7vFWus3rbPl76oT28l06y2%2FaVj6ru%2BnC8vD4Cb%2FWFUMG%2FT4XH2hcKkKBASfsT6vpA4Buj1ydHk5BqNakbb68qVa4%2BFe7kXqsqkWWbd4sS5D7Nq8qnh9fhq6ASUbCGlDUMzYSvyueGPCTnI541tkrS2bvxqGrS9jZl7inw218N%2Fe75%2B2RdsdMygrCWQjrAh6pe8igqsjo4SsrB0VkV1VPprIau8tLvS92Xk%2BgMXVU0X8ZyaqQIe9z14TWS14fjYceRL%2B1585dWnQL%2FP5PsR790%2F%2BRHvwQRrA%2FU9YliQHhQVZ%2FkNwJPM6d8qumNqgkP%2F0mw8lE1zh7dUfyzR3fECSoZKDuzd6IZZrcwKtdQ8FVVjzwQWaTGlIj%2F8bZ2hrK8%2FmKhznTC9jV7MiHrLH2pir3s0qaWj5Q6KQe3zmoyT2uZzqoVE5InEAzWijBJLnFcKMQlb2pRH8sWpuLEltWH42E86rbr1I2LlGV43EFndIv7J6NbZDvXuNsHHvmrqvpgcshjZLvsG56mlmoIoIpQuUZV3SSUF1VlSr1JNtlU%2FLPJJlp9qqruehS%2F3vUolXr3DHZmdah6zyC%2Fm3sGfdu%2F353R5d2ebHiTzlX1GloX7%2Bisiscu11nlsp9izM7nFX8lu4aOEJeoD253wLdAkNfHqb%2B4Uzne1nzFunMl2j7LFl%2F1byOn%2FJ452FykRVV%2B%2FwUv3dqB93QSKHKdW71RtRSqWnUDmQP7T287sJ%2FL6B3bIU1yVbtd284wVNPqYwVwRMWR1T8ALqz12mMbzupQde2xzeesGEaAsoCZ%2B7I7D5y8HqqKTF%2B5qaqrs4r5U97TYn24Ui%2BMSl%2FL5w4rGd%2FUaKUyJBf1YbWjaZALrVXVx6m%2FuFM5Pr%2BN0IR9NxOqNnLKB6m1enX53u354H7lm700rf1vxKgKMUqcrYAU0Qq1jF6xzJjjwH6jGB6jaR4AQ964gTXA%2FzUUPFDv2r6dcu8vxEe%2BHv9Z62vgq7WUlzWibUsKgIsTMuWnqp7OqjUswt%2FeP%2FExJx8CD9Nqw5NRlPrAcBdU67668PbGCiq8837RST9I1ded8qspOrT6urVcqfn5%2B%2Bj4So%2BqOjPn0bQXVUcVbylY8MQuzMOLvLHqKgJ%2Faotc974YP33f44mOxUd%2BQXtZI8ZXERIvM6rq6ay2vyHKvOOP%2BD3f70P2ZwTFdQkq1P71dV%2F18N6uK6tRZeuDNcJ3rzr4ys9V6Ybqy0upij9VnFeLGzFqXMfGUzUvHTyrAXo3UF7W8PeqPBMsU6QUvxVqiFVVOPzcEKrq6Kx2LIoyh1%2FG74dfFt%2F7adrru4qu7qseXp%2BqpdYHE1IDGTUeXnak9k5sPkfXuV36Z4X%2B9Xf2vHMO%2BW4LelR1Tz2KPy8Pk9Pb%2FXrGsmM%2B2v4Gzp8YYrYjN9a7Y2eS5mu%2F%2Ft6bVJ1VlwJqkPepKi1UPRVd3fro43V1fa%2BjPt2o2k7QrQ3Z%2BA4dnVsNXeKUBzolL1%2BbDK7rU%2Fd6XTZELtRtroeDrMTsRDdVxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjBeb6o%2By0Pt5KEzRo61BQha4rq6dBmzsnnUdfrlhLodptTKuFmDVJLn0sd0ZGdafebSRTli2lRY0tO8OVCkMzSS0VYAfPQuvfUp3VeDG%2BiNKTVLFK3ZU7aM6KnDijC0TqWfiqSo2CGxdvO7TnwP7e2RBZwpo1jB9Nss3n5Eu3rMmwTX%2BdtTuaqr4lULqUjgBkOUvuaJT4gG7ntEQYW3qvxWdWaOgsrn8SpSdDAxm6CnAhXk3WKLNXSzKqWKU%2BVVGCxCXi9rBegxCbcDgJy73WXiOQzpbYhBUUKy5Al9TxZ%2BpD6nolyZQaBC1QcgsKloK4S79Y%2F4gKvIWCpm7TwRa3Pr271z2L1ZTe0ajwxWVTFnZSl9cVo5JMl3qq8r3WNSU5VVFTIKKhAlyMV5HVq9nKS9X2J9xomXApF8O0Ckq3lHKYaKHfDZ7unU0wykYMos4oZh1fpFI18QcvyS8vpwJH7%2BQrGPOqi%2FX%2Bo7EOtngJHDEi6L%2F%2Bs6hlU%2FD6CzWFkAqt1jpU9fZmf77wPSuKNxTJURXJp6cCXIyXk7WyVEWioaCnc%2FzgvKzvcsbf3lmuczj6G5UcJoZr7ez5%2B7b%2FraojcFPVijWdBE3gs1SqYquqRNyKW05noTVR0lxzxxrtADVQQkBb8QA4yaiRVjGqFKqipK%2BsJvamNFdzeR5bmse%2BCp930lWAvfEyslaWqrbu7DcFwcI3lIBq78TU0NTQ3olkXn5ZZrftQ6mrX4LAaDthLszH6iaGTa4KaZ0gHqcWFMJVlqq6Gha6AapXcHpzA2A%2B9y%2FWIqTUJ0%2FySZ324drbsueLHBt5BYmKm4AEFqw6G89CemT1w%2FuTtfJUjRf0n3HCo%2B%2BdPdC5iq1iBzqFgrAi%2FL26%2BW2rL74B0S0vUNwd91fBRFHzx7TNkOL%2FNcnu%2Fh83n6q6Ghb6qhf6AW3lAmD0F0j9pR0lQZ3a81a10iHJSLzUm9e%2FpRIXtfdACCJRo7YAeuPFHN6LfOvfklTWB7%2F%2BLe%2BzKk9V%2FV66%2B9KmNvy6qa37EiHI7otDd4QCa9F8aKImBUhkNY5MRVngeRKRjifZxqM3n6olvSrTPEMnQK1sAIyEG5liIXcATLtXVxooBCX40ttDEN%2FmjzQUr4MXg4Hm%2B6O5M1y7%2BhSTD4SzpPvQeOGt9Pq3vM8qjaq9s6e3UUa80qgahTzx6W2nt4UfjhK6g9DfgxxnP9%2BJzB7D%2B6ikuB8SXrEPKUSKfYZ731WOqtaYHXyNUQitm8%2FVPUMnQK18AIwZdXcATLvXglGwRa89kT%2F%2BeCvWeKUNIr7b%2Fpdn%2Fd3kUxHVC%2B9P1NKoauvk14gNLtTBZnFqW%2F3om1ngo8BHzaT9Q8Ps4eeEk20%2BB3vo%2FD0prRSwxlqvJdmdv6dQCbuMB%2FoqR9Xm3F3rB8CVyAAvlwC4OANMFwHUzQB3gbokPzh%2F%2FPFNuSlcxK%2BrEeSjELUYLyOqN1WHZmQ3Jza0EBtcEGgx7wp2AkmSGGaURUlymJjHPZB%2FvTH4d%2FbcXPJXS9YenlZaBcRIEBNL%2FJxn%2FlqJg82hnSQGbaTkeLeLydIgJQWcyw1%2F3Rlgan3UVHVUHIGB9lFKWq%2FoKkg%2BKlHdeGtMRlS%2FEMAf7955hpNV1RTFfwKhLYYpkcO0DmK%2BrmlBqNnzfHFgwb9GrQUbJ8GfH9QrCZjh5zReUbZ5C7R4i85IKZIe7iPEdF6tlT9AXV4ZYEHVUupTiqpxGahqZ55COsVyPGjMhsoZUhVuEYUC1cp61BaU31DOpsspEafyWxUrlW4L6tJN2VgB%2Fkghh6a0uX8w5o3nSQ%2F3gYmUcgacyw2v73NLz6HVpxRV41Iy8MtUCVj9ZwDGtNqzRf0TY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8ZujsFqucCyqMe0eRbGjEmI2nhR%2FHG6FDdmTYPuyzRFFsxGn7Euw%2FqXMzQ8LucGaZThkjub4WXQkmmasrIxYyU5%2Bbrm7ksJ6coR7obNoDIUgX%2FNSo1DlOxuxtV32QT8D%2FgMRcKk%2BWOQRvmKgrSGoRNgjuA1djarJcu%2FXfgzuKpUq%2Fx57MRgjX6dmqhhorKyW1sW20ofqz5LDw%2F327dsPDLvLTS%2FWYrnS%2BJoZ1GwrvZM08R4nFand95Qtux%2B0ckDH00N9c6mvpCPkbgwbCAzmsaF1mHFiklUiBnIgGh3SqwTbbyorOjBqK2ZFHhJTaTVuaW4fJ2rVTd4y4ZTvbN%2BMp0C35UdP4prB1cxaw%2Bl%2FL0TQzNd2eM7Wa2VblPeAZe60pFBF%2B0fZbpYyll6%2BDgsJ4J4iTwNEms3SxV4kZ2D3sJd1vkks6V4viSOdhYF67RnmFQjd%2FuTO2%2FwH8n98sJACwjIeqFfVtDa923hbnyiHUjWte%2FLaB3l2FpnLV5UQW6rry2HDCmD4JavQB40nVsq1Dl4S%2BPFxovn1sGysmoFPsUaISwHAaxWdMs6Zfmw1A%2BXwnESbjglb2gUssrpU4QoMuhcUYfLXulhaWfp4fEa7bhGl7gzgLN2s1RVRBlWuGySUcjqhaesV6Vj3e0ZJZJV4OWqZY5xqTSf0p3Cui%2FtvlW%2BEA2lJIZf5p9RFSHC5LQ%2BvLX4EcnVdNd86SDXLMibAkc8FnTfQ%2FelwVvUeFRYbWZ87AO3PKnET9qhr01U2QJ8KHc6zNzjX1jaFQik0%2F5qN3ewtLN08bzlEyC7CkFY382mqnDZJIkaXnhaq1Kx7vakkdXB62qseJTuFObWYPAzFD0R4l6xD%2FEcf2xssSvLl2W7H1HiG9k4HGc4VguHkSv%2BOU3L7wHrL6OqwAeejwCWb%2BgxNHNunWIUmwyhHut0WNncjRfbc4r9yfzXdkXAbCtAXIySZbgcLOUst2PRruI8pyiGwmn1SFZZqnKXpVHDC08VN6Nh3e1JqZE%2BUSVk1SNqVdWGs3w7DEiv2FtiyMLB7rnOrMcjysrG4aEZHKvzAixX6XM3TlQZMQR%2B3dTpbRAmx7uyeycgXK2W45%2B%2BtwuSYu1CS0oSvm845SW3IQ%2BYhYAklapRl5uoz2o6qYcvplJYKSRTeaoW3rN%2FDOSNp%2BsQUrCFRFVnX0T7g%2Bi7psZKz1zR%2FeoStapq306uqNaWU1U7frc%2FtvdPibxomHNz%2FRdk4fXGo32TDjbOKFQNPBbN1V%2BeNMnv3BJiNfj11BbWIKNeTguq9vhOjCU4UWVqRrw3dG%2FnpO5NedvTqepgKWedW6eHL6bS0MzH99x8qrrvwT8G8sbTqUrB5uV13Eenuv3jTO%2FlnZWOF94vfz2jQ1TcoGhkymlmSLrU%2BGPHnoH55tniRzT2jCy87vjz4fWOsmCSRNWew3sneP2jykdfcC81%2BOKJQG0gK9ckalbUSKi8ijPVYQ8ihZAqxakcLOUsoftIv0rSta8PyLiFVF5ReaqibyZJw4kXnkpVGlZ3Vx%2Bn%2FcNM52VNuPh%2BA4%2Fx1zN0oqK9kxCPHLK7QanjNvTO2sFyzN13yaTKNpyNstW%2F7b8g0PKdXDBIwEwlTKoaWDXqkmOoocbnk0CgSEjDgwRai7p8Tlbcyys3V02rwx57%2FK2mqB4XY2ln6eKF4Cq8zuqkyLhVmqrcN2nDiReeGqvQsXqKiPpk9SAqzAw%2FFa9ndOTHWPWR7Tju9cydT6mwWM0I7rA67%2FRdMvzJjV3ZcF6wuCsr8sc%2BwfgTuEGU6NtW2ptF7Xvi5uELkwK0REIuyCaoHi%2FF0s7Sw%2BM1Np%2BDqUHjcnhZI9yVFvd54Sn0o2NLURR0yKrzsqbgfq0AzvC2%2F63q9YzHxSEg7Jk7tkN9HsqD7p0YyHRme%2BY2n4MkTqf8HFZzagv%2BuQF3dXCYWil6xYH9fPotlHcP7Gcrbh7eTVZqxi8fZCtVj72wlLMEyn7Nr8Tb6sUdsmmNl%2FM6X2l4mqMLd7XqaHGfg3I%2Bqemngy3NeKvrvKwput%2Fdt9p50MZSBD0hIOyW08gdBsOsOgX4DopKL2zMFMpJa4fUDsNWQLlu5d0VNxfvNDc14%2Bc4q1r12AtL0UrmKP6cVXiaevGNMXedKV7qoFyf1KOeBvZ6yKrzsqaoY4IGqKkyZszYjeh2qiuHNmbMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmLEym65O7%2FcNb59Dlp1cnvWvuA8FoEYxnda02A2oVVr3SlbMmlyuNM3p9MYZTaf3%2B4YXZ3EZMXp7JrOdWZ36VAp%2FoyzwEUhYfkStC3XBXMGdZ%2FT3fXj%2BPr0rWbHAAuhkTt7Mrobvb5ETbA24WrRYK0al01sani9qw%2F8rU34yL2pW7vK5OPNKG7tyXq3b7%2Bges9SJXQMZSn1Kxe%2BdoOkq2488o%2B0yGtSwJqNK3aPrpWoUBU%2B19k1A4tGvBCMw4BPgpU%2FfW4n6U4nK97ewh4ZY00JeBg11evllhR6QXKfXwbudXYXvnf1kE67f%2FGQTLrClly%2BEoNR4WEUKomYndtHrT7tftKaTHYtIiiR76CUQO5VrGOd0jzfegd9tvIPFkXzy%2BgidZHthoQbeirVeo9QfhcebFqLajkWnhjUcyoum0UJyXVe3%2Bqw9qF%2B5mtHDU0G8E7uGZij4MAggIB6F2W8eVdc1xxdxfwssH%2BsfX1zXbP8CdXqdy6p1eh28%2B5Dju7K49g7Xb%2BKaPRxZaeX3zn58D6eICg8SMCusPVaM1fK19pTyhQCoSpfYqguz3S%2ByBpvejQ%2B91HpN1tBc9xh6QxTlTMP%2FscNbVfUROhd8awUqXjgitpBcV9maXA0uqO9YVGpYgTULzlNrvUYZi3VcHZQx54MgrZ6XcSeO9m2%2FEsSjL%2FEHUb%2BdlFXYlaMqq0HJvUROWteuP1%2BoGlsUI4wNy400%2Fjq9Dl4canzCFRY1nUwQykf5rYEMEnx8AKmtwsO4wkJXezZbdVFGqb%2B4A7UuMYq0JHFGyA7tObTHAodJSGcpXPeY1Q7N4J41sOofPkPDfyPHw3X2WAHcWqHpJBGfIyo8yAYZHgPfkKtzUsl2uTFUagQ%2BSri6bRgRPiqnq%2BPGI4miKK7pCsnpW0amaMRz16n1NfUc1SpqUcq8liaahugm1%2F0mUOqI47vniptMrtNbGt5RlOGqMSr81BCrhyCvmjukGp%2B0FY9YfdNJlc6wwFsFUYQ%2F3nEQqFG9Wg1I6B7z%2B%2BT33ZmV1Qfx1p5WtopFc0KSBLxD1Fo5vulKVEu2ywurogaX23R1gZ2KGXChq8u3uuoLL6lP7%2ByxHbQsLmuhEFVkiXODT0hNZx0RND0tKe8r2L%2Fo%2FZNoMsF%2FuU6vg3f3L3J8V9ZRbj23DkdJVfkBO5OYJ6oSjweEaiys1Bl28O5m8cez%2Fs8G7Zlwv2WPrKj6JBP14LrHVgxHVBxZ8XNCWh%2FET4cxcOdqOgT8mJuocvyxHY4ibqlUVVNDZ5ycGnILx3Zlp4akQezbmLEYmcKYRugSQyvVliOLW0qWuPJUZf0ndjkt1DMHCUTubajTu9R1%2FXV6Hbz7kOMTtpg%2Fzt0wu5UglG%2FL%2F%2FcJotLq4w5o1XgR8Kt1iVn10AwmkxC37qcdi7tflDU01z1mtdDAMDeH%2F2vXnFXVB%2FAwh7ddEEQ61PjmguSHHM9qsWR30C8XHiue2lCooUdVVvPkU47nPPmUXDKoHXWmu2F0tGMa1V4IelncUrLEhW1D1CvU0je0Arz%2BvCOL4wYsfPqBOr3FaRaZTq%2BDd%2Fe6KnwUXnPg3G3lfJRYPu6WktCqj1793TGBXJcYI4HB0825lAkmmKSPJad7LDLAuFWIqj6ID92OLghjMAGPNYF62COqCm%2FrZ4X2TuCj108rqalRyuyTrRCS7yCCrhCVA6IG8xHFLM7My5fFLSVLXPm00u5bU19g%2FXmKqyub%2BmL3rblfOYrrNJ3e0vAio1Wp8iuH586OYXCSfbJJrbjo6B5b800sQqqPLt5OdBHxnODHd6oFSJcE2wRqlOa8rIUH%2FKxFiQy675z6EoWeTNLNEt%2BADDBEWCipa4%2Fatae2uJQLhU5vF1Wn93uGF2dxdXoKUuged2vVp1J4JxDWdRpa4Fua8x7Z3jMnn6V63Xl5srjXkyWuPFWFjmhOW7mm6K71dHq%2Ff3gx4yBjl2P9q%2FVdRgvdr9VCqCJdAWFbSha3mKz6RNW9W2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzVgaDZXN7TCsYM1ZICw1dWVC6QQmPPvtzn72m%2F6DGlfrg%2FDNqWUZc2dpzuOL3PW0xqhwm1PqMVtkZlcJBHsm8P2tcK13GNnkOD%2B%2FvvpO%2BHbsxisPqZ3TdT0lXFzf2Ye9sfDEIq%2BytySDoqfXOxj4kXWUMnTfI2tidv1evSQi8FGU%2F3qbRAUwjleD%2FPh18x%2F%2B98wrtj9KtsQi0Dl3a0gpwsU01Ta0CVY1kSfqyoDYx7f3UoPtlHse8f1m9R%2FDw%2Fu67aO1PoG6H1DPn1a1SOl4QFddrXydZdXVxI%2Bzh53D1IwoQ4kq%2Fh5%2BLqB0y1nilmfHrbD7X%2F09qqq4F2cz1D9hjWZ2y6aaDrJ0hldqhK%2FBzWi%2F87eze1wtEkX3P4TKeoAZBHINZDW2ZlK4AiHASrmMPI8Y8J3i7z1NLeJafYOWmKldbLGV8kY824rdC%2F0gp47aka2qVyNlwmbtEvlUoMnF6eIeoOenV0skqdHFhmS8s6hEKDBIdWlu%2Frwkwzz797NOop9acFxXzf4yBhXhOKWbvxIP7w0Bx1aiHzdH%2BRlXVnb%2BXdxwYKLcXuGE7y4scE%2FAPPtJ8VIYXY3wC1HcHMqDG9xK1ZWlUXSrmIV9clVcFBBkPR3sKjw2n6F2BrF7Q2wWdBd2F38laNczU7bh0fJGPNs5vWUjIzsjr339h6b0Ov6zb%2Fv5PQL897auEuMQLbXleYWvkvxO6uPFF%2FC6%2BqNLFdfSL7nrgrgccXSPZpbmgaFd2%2FCjr7jrULJUd4zYeyfVBk%2BvfiUrnwo3vRmGcFuLeXAsI4oJ3qfhX1%2FSmZXg%2BdqE85%2Bs%2FfP2HttQmaV8WvnGGeusMz%2FCUyV0LZbJSX8Q3CKkRfCYgYxoqj2sV1oA0ZtTxyCxKIKtVl%2FjcGV%2FEaJP4XDEWQaSE7u7oGvmVv%2Fm1pfe6dVy3%2FS2JTFzPnF7n6n4S1FC5aHLDySp0cWEwr4NmVOriOg%2FfTVX5xTsWcdQ%2BtWV0i3W5TdnPWcPWQRE%2BhhiOgOGr%2FikuFCz5oDvJpu9DAtpiHXfbakUHKfjUV7DivsUfzw2FxkbTq0D%2BczSNomUUojZe5LVROW9JfTTIeDz7k9Uu1UI%2FopZC1cLfq%2BsjiJokkRXlSHjsBi54OSyVzGEhrlIIVOhwZxRkNbr%2FiaX3%2BnhCt%2F1lio6P%2FAKyLkw3A0ClKu%2BeChVBc2R1dHQDjwUeU%2BviVlVh4IsHUlV8lo9JCXgYR7YH34MkVK78w%2Bv98a2frJvCG%2BudFSNfnPlJRvdNwoz2X1j1QGb1b%2FfZwlGwSUTN%2Bn9Jsr5JP3z3JY6%2F96Uk23Icf%2BqPFwmlnrkZe5yfifTMRdTbTsS43Bt33pXzsnEYHXHpP9UD7eniRJ3YvX2tfQdvlS9g06OqQ1SxaQmdrPE8Uf1Se1x5WcfpxweK7xRGwZryURVKa2j7yvuc7a9eP1VzOtlFh%2F18HV3c1vxWA%2FIAFSlafEjdanNX9uHnAguRfOlIJ3981O5vkYL78j1kfIPfvGoggyPi%2BVTn%2Fw7aJZ9P4cgJVwj64SGgTiMex3fMMVtpf7xIKL3wU1a9%2Bdzmc6z6hZ%2FaWz3UyYiKgakY4zefs%2BeVMf8HyLO%2Bhf9UXUEgR9Tmj5vssv0zwJWlqkNUGNe7%2BWxSvd2VQ1Y5Uf0cXFYj3Jug8E4H3tOPavzLhzG1L%2B5zjmwAolKVz8kLJV5zMZOujm5V1WrGD6So%2BCy9eH3%2FhWaXtH9X9nxKdUvYGHf%2Bnq1wlO390OdTvbNtLPA8nII3Fg881gaP3%2F8KiIcEyLuv%2FxCdhdVbB8NSPCaUgKJw%2FQf3P7gf7wbJJ9vvLLDQmQWJ745czTsO7O%2FMBhbKNapiSCTkM8cjuBFRkzQDXOy44hn4X4HvpwcZ1z7IL6d5d%2BNPug2nckQNOakf7wSXF1lVRF3q4JgJzonD%2BqSiQHPK5ehd2cG%2FKydVYUx92%2FsMaIOacsxVsRXd3%2BcnN7o6urpzVXxrGylI%2BoBAp%2FThiPFo306%2BcR2eI3%2Fom8%2B1wTiM73mty63gWLLHz8WxI%2Fa2E3f92Qq0MSGV7Z2JxhdSJzfi52bIdePXkxu7sjCK%2Bb6%2F3XAWpCFXiLrDllcrTm3ZcLZco6qgmi2HaW9EJM8Ao%2BPyZ%2FrZoMuFJZ0l77zDkPhtyu1WgF2UzLGcmXLhdyqyylrefb%2F5eZsrE0y7Ck6%2B5G%2FndalqBdp9znh0h%2FSVk6KDKWxTn%2B90dXH1qNp4sfvS6W2gTgd5S8xVqgWgT25EYoNoZn3ra7w%2BzjYa3g%2BddcBmVO8l%2FpD4w8B7h%2FYUpiA88ZCuuAeS%2BtsObWoDvKRGzR9jwm1VvhvDr6vsCKH5Y9%2FyO7B3FYrtOJ6CQGRHuUZVQbX8Jo%2BpgiDJ5xrq0cs9bvBx1TVdaVC8iAj5fad6Duo6uWvivLaR3S28xMqTuwnOmmwqJ1Wbj3rjYXirV4W11A5G1mRaurh6VO2%2BBE5Sk3Mrkogjq%2Fn4HiB3A87AemdpOrewTUIHhMBx%2BL%2BedI36TdAN%2FGwjkKhe1idHmd%2BjjCpe2nTbe42c2NU9p3JF%2FbnqUpO6bp0OUfkkYWRKbMQwMiWfrlTail6KhNTdATzTfmenP9ZP82YqVdde88Y%2F%2FJw6rL1OooqelK4rm2%2B2W%2BBQvlXSc5J851GTu1InXedW8xotTClIDZ1Lv%2BSQng1tWcvVbrVcsb80fVmp61bTRL0LzmjJzfhS8Km66jtnogXVLan7JxCFM2HXoeZNqAxErWijfQcftDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxoz9%2F2u4KsiaNO1gTOYkgWLZCarynNZV6uyy6zRcFwRkdJzX1iee%2F64%2BhRBIyIR81S6W3CtZKy%2BHR53neZrO8zLFT0NXdhn%2BH9PyuTN2Gx0sqydraWHlz8rYyAyt9KVXs7%2BJjBQLTzbfr0X0PUh2BQokTLBsuXhJvoED6LqNFxsvhph9BYoOXl3o2vjRBNN4jJlcMxzU6Azmya41r%2BcgsAakBv9R0VQdJkfnOUHUeV6O%2BLav%2Bv9p5JV9T9zzWzXescZ3caU0LHMMSkrX1kkubXlF1F7rEyWIzRaWJ1YI8UJ%2BvWSB16%2BJzg594yoW%2Fmr3rSqHCX6ZyHUDwY9U5a5rhvWhGVxmhkvQrMwqtq5ZXZvA853ZX3YnSRLZ1suo5rrhFOt%2F9umRqTbSWAaaCJdv%2F%2Bcnn2omdQbN7Mmnbv9nGAX66FQFXZ1v7QXyhNqM%2FsY5lA6rqfNcKr53VkjTlr98EMwJxT6M%2FjryNUUQRvgnSgQNv4nLHP3JnWDutsQDqSHr8kGmr5jYw%2BquIMkKxNnnZX7Ax187qszwETXn17HPiqka%2B4zguOmVi21fJv5P97%2FGGatWadrF3es8FX0iq%2BmdjbrwsGhXOdZYsTb20EsYH1DGow1HhS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2Fy8vL6%2Bvqfn5%2Ft7e339%2Ff29vbo6Ojz8%2FP6%2Bvr19fX19fWmpqbLy8v6%2Bvr4%2BPjT09Pr6%2Bv6%2Bvrr6%2Buqqqrz8%2FPt7e2ioqLPz8%2Fa2trW1taioqLr6%2Bvi4uL5%2BflVVVXNzc3%2F%2F%2F%2FW1tbj4%2BPh4eHq6ur8%2FPz%2F%2F%2F%2F29vb7%2B%2Fvz8%2FP09PTMzMz%2F%2F%2F%2F%2F%2F%2F%2F5%2Bfn19fX%2F%2F%2F%2Fy8vL9%2Ff0AAADZ2dn8%2FPz7%2B%2Fv8%2FPzp6em%2Fv7%2F7%2B%2Fvq6urp6en%2B%2Fv7%2F%2F%2F%2F4ck%2FmAAAA8nRSTlMAGgDUzwIP8SMQ759fCgUvqfDGFeIYA78fbxNTt98%2FhsV%2FBhdD4Q1rRI%2Bvwo3ATxJTD18IoKWasozTETbQ4D40IX5hC6dAMR7RXydvEsRuotKLkZCATYahkzOxQlFqmbZwJiUhFWy1wyJYcXI7gB2XIEFbgjxgiWFtfTSFMy8wSYgEqFBDTSE2KCpnSyZZUaZHRFAsDuWBYJJ7AVZQpC0Z6njBKWjdN4dlMV30iN8bV7%2BzJJeHMRiDYsR6U9yVYxdP2c1dj8CKFZZVFjtaaTxOI9cMKQk4NnBW4PKUOmiNI%2FkwWoQYUdQOSk6GvkUURFSM3n71h14AAB4tSURBVHhe7J2HfyPHmaa%2FYicCDTQCQRAkQWgABpMcDSkOw3CGM5o8Gk2QRjlZOVjBsizbcs5pndb22r7d23ybc7zbdDnnnHPO%2Bd6%2F4FjdIGu6vmp280CtbF%2B%2Fkkn%2Fnip%2BaPSDDqA%2BFOm7J3ncIoDi0NAQkY3d2IaJSws2NNZZnCouduhAsrgf7o4BYy59O4fvn3ROJQKoREkBGKqYytAJCCEQWh220I81TPFIozLaNiCMH4PJr47WIooL1C1isUUsFSwpkMqPAMARDUIFjLcYpj5tGbmqw%2BP6bhz49jZwbZ9S9k8Kd20QQLDdzFbdIz%2FJJ0OFyJFaI6mOcZ6HGOzAGxdi0tN8JL063CmJwi9FviX34m4FUrlxl0PgaBgIbrXJJfVp08yTrbq2tt99bINtCj9p%2F2TiZMMigCzYGa0WxwBgrEjxCBUici56obyLjsF%2B%2Fez8KGLwUdxVJuq9HZcpljX16lgjlaeg8hTpmUVNqubcUjzNKnBbGIBbJS6pT8nMo5ilAms3kxsAbElvsP0DqP2Ttt9KsEYIoBELpWxWDyHMocSDdUiCYMYDvJmAl5sUE%2BcDgiaiLMd6FrTJUmskFaTyEah8JPZsiru8WGL8ouLpx2rfqshkVQix%2Bz%2FOoyRIte64GalXsb5%2FJFX7J4UfxsVI3EUcMyrVrbqAtbVVB1x96q39f4Yo0goYpBJ6EmhWa31nx3WrUmskFaTyJah8iVSofNrqY2umHOeNsyIQ457ksUTnlP0dq4NfVyuLrpTKLlHy0sUp1UASq%2F2Txr2ASAiiwJvNYrVzBLjUbJ4BjlS0qbdE%2F%2FStUgAExAMyWG2jI2EFDd3qujNsWcPOesxquY6d1OOSmiMbId4YCTT%2BBEq0xDjRKACM8mO1HwF2mYm%2BDnRdrRRht5hUmRPHAeD4CdL3jwBEBQ3OheC84VE%2FXi2L1Q9fB14kOgFc%2F%2BzeVgmgJKuVTnzsPSh2iFoncY82uVrw14aH1%2FxCNVbszO4heYa0vDPk30uc%2F%2BOxv2LgBAAGdjSM8R548OvqoxHiUl0bYWyX7R8h1P5J22%2BHUIlAxXSl5FYDeZS67hHgTO%2F%2F2aoPbWy12r9JqFVifFsqsLYGbGtlJyq%2BV2TuBRrA3WTgs%2FAY70S30519XFebg19X3520%2BbakctBO2j%2BZ%2BNt23qsdwduyWCWnjjB1h%2FZvdWkqhPxKVhi3gMamh2Ilhn304xeIaTVJpVlsTp9FLRt3F9DPgvtmX1czbf4FSeXghcT9k4WXLYxtg8oYrLJRKZNTC7XWa7R%2Fq1RDCDfq7RltpDwixPTcjIdii1R87MYnptUktdKYn6Pz89ZSJj6l6k8NcA%2Bc9bqavvmF6jbdHqwW0vYP5%2Fq9dLGo7qVTrY5OXKnXr0yM7m3V%2BFzIAs4S0crEckCmBDOedY1UCmI3%2BtN0LjUucan0yDOycjD8PZk4VJDCB3%2B%2FqmmtSqlc68g2dUYKlLJ%2FUrgzMl73Gu3xESfFqorzwO0OsXiI4kmrCe%2FSRoQ4T3slOK2ea0qa001Tgci0E2TiQkVk5tHooO9XnYJDWcP3TzovT4xOL5dJixDqXz29gHhGRZTRIRogzT2l5mk6b8F%2BG5KhtyB5%2Fj%2B2mie3mie3mlvNk1vNk1vNk1vNk1vNrZbouy65VR8%2BsST3UJbGpopjJYZdoNsFXGOptDrpfAn9LGWvU5xaLJFvmr9Ycu3kzstYuiHrUuaUFsfGFg%2FyQOFa%2BHaCIAeHMNTnPgA%2FwSrnrg3UPPD%2B1R8AHnwQ%2BIEUq7xONv4w%2Brk7ex2vBhRhng9ks%2BoyGAXU6XYrROTzXnTg4PrRW3EAIQQI8tueVn3I%2BGarnNuoz4%2BOztdZ%2F%2Bpl4KWXgMspVnmdbHwWIgxm91XHA7JxiJ1A64jHvJg0WS0CmBqzWf3NLSG2NmGTnopCOm8l8RZKpNsDSbG0l1UfUXyjVcZLqE8EoGCirj1cC%2F20Eq3yOgjrML6wwHgLFoWxUGHzicx1iB4CQJy7Iee7S4biAw4QUM9k1XhodzE%2B1yRqzo2zk3YXkPZaZODoEJl48avVU5pVQQjFJltVUgHfZJX9N%2FDDuJ3Cerdr%2FasvA5icBPByolVeB6yO5B2go%2FOXdzpJLuAVVseuGOv0%2F2M%2Bce6EnO0uIRO3elPbciars9UyhSlXZ%2FkJvoVSCS3OaeNRCTi%2F59j7UGFc0J7XVSWVad2hpv5VEO9fPQXgwx8GcMr4CRybTHWg6ijungJOuRo%2Fhp%2BgMD%2BBw4Y6Xb3OrOSG1BTPdKxCJZNVfJn6%2BbKhTnMcGG9yTv%2B5Zrb6CQT4LLtQEAkBIRKtFgR2IgpZrDa8aEzvX60AQBAAQIVi6bdzEa9jA7aso3FnGph2NA58ncJ8HTBsz5%2FQ69QkD1OM9TmNju7yYsqxmtFqI46fo36eg8HSzwM%2Fb7L3fR6RkYPwfTdzQVBtOklWuT1ulfevCiH0%2FtV7sZt7zd1ovM5F4KKqozgBpHMA6BB1AIDNb0yuGOvIVPAk8YT1BztW3fq5rXMb9fZjcexEEwEHpjPw%2BLjxDPwH2xHgvIIPMy5EBqtCiBSr6f2rswAaQjQAzCbsFVYn2NwMVB3FCWD1AeC9RO8FADb%2FmZ6az7fzcf15%2BWr7BzhWnYnV5irr1gPtWCX9swSbQHOrXN5qck61ByTgfPY9DzUC%2Fs6GICfsbVXCFKtp%2FatL%2FY9pHQKAJUOZyUnwOnNzYR3GhWAcKmDzHbU9GfpsvfcpPsh11ZhNZXVTG5qbt6hJ8l%2FOT%2FeITPyjX6l9kG8mqe0cwGp6%2F%2BrdAHCd6Lr%2BewKopNbh3Gx1kDoET%2FHBrqvGzCmrc6QlGFFA480k3jxdZpsJEoCgeE8lhfdQQ2JocjKj1fT%2B1RoAvJ%2Fo%2FQBQS7fK63CeZjW9TsOrM14dHW%2Br%2Ban6vF3qZbJKyurBpGnQQpicNDY0E4aAXnQC73%2BNh3XZsv5V1ow6RzQnv4%2FyMjJZ6nDO64jMdaZHJxgvUHnZND%2Bh%2FuguHdXmU0KEUF8PPpES0esZG5pJDAkxdDPOk%2FdC5Mmt5smt5smt5smt5lbz5Fbz5Fbz5Fbz5FZzq%2BYGw13usyHXNjcHKKrHZwuvpKWLinmDsECGlAwdND5R2vIg39VWq0atfV5Y14fs2ryIktVqjbUepmUW9zI2CUyes9AlnvJZtEfiaAEL%2B7OabBqJQ619rSnT4jwKiCHaRaD08MdFvVDnWhVXWpm9jFYrEf5AwoYQz1INNQZ7QG91GJfJkH%2BGBzSyghWyJoUAhJi0SIXRAaw292W1eSBWE4uI3YAIGAOYVsWl1sGsvhLhY3FahN6SqXLs0xZKxud5QurmeQee0xGIRnrRD%2FVGFE6iJKIQj0gdYsjI1RCzKhErnWrVj3Hy0Y3OwCDaqx2Ya92%2FVeBYhK8DbLplAbcC7MT2vh%2FEMZPVyhraZAjgMGRe9S2RQiWJg519D%2BoMnPi4e1n1oReZJXLHKtJqNUFrNaZ1EKuzIswstzp%2B6dK44Vm%2B3Ah%2BCmiZ9%2FsDxFNBnX6%2FrTYVHuwMvJBmdcFs1YdmtYp7yLVRdEFUSNBaiGsdwKqKxq0vAF%2BwuNVTn%2B68buH7uQqxdRYnXWL5XXxtYKtChfHEgcHPwKEeSixPJO3BZHVdt1oQc64NwEZM3zqpxPn6%2Bpth9fiLwIvHmdUOwswaVDTPb%2BB%2BYnkYP3dwx2rmu6XWQZyBhdgogHj5XYTChhCm%2BoWqZtXttn4EYW7Wpy%2Beqbi%2FXshk1dqy9mMVH9ja%2BgCY1YcsIcQW0DGp%2BGkcJpYbeGlfVktAaXCrzYM5A6%2FQ3lZpJWE7C9UYr0wBP4kwSh%2BTKrmSmsWqNdwctrhV0Q%2B3ipMnway6eF7usjYe4lZbpRpeIBbge%2FZlVZnI0nyXOjD4PTCHu8hk26tvh6gQ5ypKH5MacSWVW63G9VnDTriYLnNRhEyLdWSaWzLX8AU5%2Fkn98zpXwW6X1Mj%2F0NkCFhKOym0emVgYbKXag74HNtchGGyPTmyH2VbZ1adLVbykpGpW41xKJalV34qd30KwjkxjS2YX4WLXFfY%2BFmEakz3SYpt%2BH7lSXWFHJVud%2BvfXanNAqzxpj1vQpSpeLmQ7VUmpUivrTw9EmDJlyty25SD6oVHD404zqTQiMaOF3R%2FS%2BIboZ6Mw4PrDB3UGFpRchxTkSX3cwePQd0ZW2P8ZNHkvRJ7cap7cap7cam41T241T241T241T241t%2Bq2aOAs0rdVcquuXawYFrpdTF6%2Fl6eDJUqOu0SDxvdpH8mtus8eR9HUnQ3ftK4vANslPSdxisOlKcjZ8uc6jI9Ryzy%2FWKEuq%2BUn9KOHW5VA%2BVASn%2BrQAcR2wy%2FJvAWwoYjyuD4vFDnwTdi33ZhV1z55ybJYx0B9sw2UDOvrRqK0dAHcZ16C2xp2T1ywntO4d3aCcJXPH696M4EPm0s1aQWkISRQPpTEgcUWGQKAkLknBtIRlFbGm6yUokyeHDJyGLT6QKRVTcPJS8P6Wq%2F1ibnlNg4b1tcFwHR3jOunn8KmEGLkhG3fMeJofPR8yQcWXX1%2BuTAa%2BMAFTWpBAKLAtALSEBIoH0riAIrdwa1KEVA2OAfMQyZ5csjM14llHX2tahqOX2PLSr0%2F6kkwrK9r6ts%2BFcKaq1eZix7h%2BAnG%2B4uZr%2Bl8oUK%2B3p3hLiJURVhkjyANgQzUOJTEIWN3BrUqRSgbBs5KKcrlySHOE1tXIq1qGl8V1MPh0KJlWF%2FX0AVYQjuk9xuvb7CGTzB%2BP6w6UL1D4wsoLrLttrEbW7cRjpGR8iFXcaMl3x3UKmxlw8BZKUWZPF6IS%2BVauVSVNjDWHQMu8PWBI6u1%2BEFc%2FaTBNQE7Um3Gf3RrZMIbLzgaf6cHKTV%2Bgr%2BgrF4w2iAj5UNrGmeWpga2GmXNzHkpjbKXsc22v5HUutIAsDbEpao8gCg%2FxtcHJsn19XV%2F7kGE4VafkvVtMF5oEp0ul3QezHhSKvTXYfSpJ%2FY6BSylSKd86A7FjZaqzwxsNXqEOxI4K2WmI2InI3z7fTLGDx93KHxLY5ZKvQ3IbDYN6wMDgLa%2Brnf5i16C1Y%2BMb9cHGJdp%2BpwHMxsFAkjTGg3qUgkYlo7MlA85ihssWZMFZ1Cr1rA6TgycWzVTFcP2%2B4lSh50hoqfkWxopleddFoD6nGl9YAD6%2BrptrB2SuE6xNNClubLjdtFgfDtmHqworrRG72x0qQSEokzUOJTEw7daI71B75akTyXVwFkpTrlVrjVZ6hDRZZy8ZJZKzkUPjTNkWh%2FYsJL%2BxzzIeLfH8Z3YyZ0D8eS2ZSAUlUD5UBIH2qfPD%2F7ORvpUUg2clTJTocK33%2FzOpi91iFqwfvCaQ%2BYEM43H1FjKerzN01UPqJ4O4nj1XAMyjXOrA%2FHktmUgFJVE%2BZBELueNyeVmQk8mZW7dJ2nI5VIljwaZP0Z5uFZzU34kdYiubY2cdygpwbRylLoeb7MwKkSB7ZjVaSEzvToYT25bFkK1IXPKh0LkcD7dowNIVNkx8ugLO%2FY4TddqbsqPpA6R06TvvORxEnDeCzFo8l6IPLnVPLnVPLnV3Gqe3Gqe3Gqe3Gqe3Gpu1dzf%2B5Zx1ShxcPUHT2uqktR9uN%2F4ST9UWThIq65taI95S7gaAsyddTWPzc%2FCB85JnHT3ZdVuUULel2C1UsTCYK8at0XAUMsNrdqm9pi9uQd4%2B5kPq569Prk%2BgOISkaEPeXS%2BDns%2FfJzXJ2oplMnGAoC1fVlV28%2FkGVX529x750BW5YcvgEox7EYrAYAQrL835ICJW09Xq09b5vkNGPi5kYl5jbPHVVmrjQMfqpWI9SE%2FQvTIRB0lnQdEgZlXarw%2BLRVBaTZ4o3opu9XOVQALCVK9%2BaqxkjcTDGT12RqKQBG1Z4eIDgMAEevvlVyGc2%2FYKRScYc8033pmHIxbq1crgZWxPrm4qwyc%2F1CN9D7kCnwfldtxTOPRRxc4j3biuOLqyKOEmGy0apCptTJa7RYRxnTc3yvlFYxWpdRBrDZnPIQvjuYQUQ0QgkgIredTchnOo5PRGufWZH3Y%2BVmPceDUZ12Ac1ld5zt%2FBF1G60MOqkA1CLxZjdPVlo01zkOpM%2BU4b9kpa5oxGyf7%2FGQ2qz5UCyrLyoaSp1V6KKVtKfvirkNEDWCH1khlL74u8Trnl3oTTqXIOXBnbw0mTgSdQ6bXg4zeh7wePrZX0%2FjVsF%2BS8UhqoPEppFhlNkaEAKA3cJJtvi3oYCfWY4a73BUu1Q%2Bri8JBWj0UjbP%2BXsllOPfCRtc7PJ3L%2B8RKMXsd8%2BOKKzgngMmqJ4TWh1xBtSq%2FHtL4j1uyC4vxUiRV449ZKVa5DfNBecmDjHcpjh9FYyM81VSHg5S7XHZXPJBVMe9J2JgXQ0Rvi8ZZf2%2FIARO3Xd93bc5hd4rmOkIYuSASOienWisBf7J2F%2Bl9yMF8oTAfHNHrHHGGq8MOMY5Qqs6D4SqApHUDlY1Uq803IPNGM46xOb3S60F9JIHd5Wa7K%2B5vjcj8B%2Bdbxei9SbE1FPb3yrD%2B3r14ESgmzR%2BUE93xaQC1u8q8D1neA4%2FxOmO%2FUHAqBo67AmKcnMK4B0qIspFqlVY3AGysanRzTgJrppx2l8vvige7W7pmeTPAjGddG%2Br394L19751nJzCFeDpsrEPucjmZ%2BdK%2BIxFhjAbKVZpxYK1osO56MGDlLtcdlc8sFVn%2BHQABKdl735Cf%2B9bwtUQwOBB1g%2BGiYfZSLVKFxuXyBwn5S6X3RUPbpWcJgkx1JS9%2Bwn9vW8lZ82xB1%2BfiU4ZEOYNCqablDXqLlfXGuz1M3kvRJ7vZKt5cqu51Ty51Ty51Ty51Ty51Ty51dxqntyqe5W%2BrZP3A3dhd4g6NrpkSqc7BibV%2FgjtM4twDXRsjIyxYXMI9dUcn7Lk1VdfVd%2FexFSAA18nOXs%2F8GGrhoUF1KzDxOyVbAAvMKv34RNkSGdxbGyxY%2Bb%2F%2Bs84xFKCefnoFoCUngEebT3LoppfjM265ZZb1Lc3Ma94IgbcItsUxlPWSWZWk%2Fty8fyMBXgzzzN5lSkAaH%2BNDdTwx2jM1aC7iDCLrpE%2F0XLZ86kBNZd4mvuwiv5f%2FAwt2sb5yGrV9d3kA8b3GfUN9Yus0YdvTzrn6ySbrZYAWEJYAEqs6tGjkDG8iBrjj8Mj1oh1N71g8xZ6dTLg%2FHvvk1w75Ot13JexOUCoMNvFViQVFzJYnZubU9%2F44svmAyb6ptNCFWHM%2FVvvT9p%2BkdFqtE4y36DIqi%2BtHo6a%2FGp6X64AgNtuAwBBsawB3tnpf6e%2F6Ih%2BE8DCC9p1%2BAjaaABAFUdM%2FE%2F9Zcm1C8%2FHPw5UiMUF4GY8VoWY96zXZfuIQLWQwSoA9S198WX3BqRAH8AN7TBadAv8L36%2Fhp28lO1YbTDbKuaO1cgq%2FKFIJ1yXrwGrrLLzrHX661PsRbfUbQKsTBfWu%2FHRNoAfs9Dl%2FI87KxZ7HWwCm8o1270Zr6vB6T8ddRkqqZmtmhdf5qsJTmktOoVJQCw7hl3%2F09jJV7JZ%2FWAJKsUUq%2FrfgG4AwFNP8fV%2Bj27nttvkV%2F1Qsi4egcwXY%2FzyjxKssFqLVB7Edae%2B9gBQb17Hgzfz49v8d%2FAXiUKuUkLjV4FfbaBkasYDipUYhdj9h7T8QhHe2%2F820TrtzyqX2kjSyhYX7QHmXf%2Bz6KfRzGS1UT4FlXtSra6ryevJ%2Fbp0224ols96zxchU9c3bwrX7wSA10llro7umXcA9TNd1Odi3Jf8E%2BTHOLk1fMZpt53PoObqUtsA2kpryrFakVJPFivqHjijVSa1Ol2VWolpZVKJkqwGHqI8SZmsfrADFXzRZJWvnyyDaoH166afgXuHEMY7wzfvhVUA6N2Mz1i4f0KIiadgndH4kY9b6HU1fh%2FaPXr8ceq1tcWwi965ZQDL57xilmM1%2BszJb9b023sPO9Hu9uqA36n4QDum7gLkbipUgQvEtTKpBCTcqI6KMN4ns1ktPwqVapNb5Vqj62q1wPqB0626dv%2Fm52mHLeiOBypyRHvqbUwtLEyhPezEeRXAn22hGuMdeB%2BLtvpjHjqx%2BqdXZfXK6ul20rHK%2B2%2FDjxTFhIwKwLoiZEbJ2Nb%2BOFvnVH3TtUYbzy35ScveVvCJbFZbUMGXs7yzKURWC0OsHzjdqn18a1rMzwvWDP2xBsZ7D7GVyclZnnzyHe94cnLZ0Xhh8vfwR1%2FU1s4%2BiSj880rLTYrelzeXsxyr0lpAFIyyNd1hXuS6XEeYepmvc6q%2B6c%2BBVYLSKqVyTc9ls3ofVKxeyjrJrBeC9c2mWD0%2B3CQKAmJpPrNVJlisDlFveWJiuUfE%2BGv4B804ryCWCsXSmBfzjf3%2Fbiku1Y2k8pzZ8ABv4wwNFBGlwF4HTYFtDuFks1qDyvNp6yRzq6pvlm%2Fe6ip7uzTs7NFlTGKkTNmzIgKNBCIWbXg6oGA6bclrngJbG9gYZ2VUiNEVh96sCCmdwYQnMCpUmJtC4YB7IRz67kneC5Ent5ont5ont5ont5pbzZNbzZNbzZNbzZNbXZhaiIPcagtRii5ljQsYJy%2B4rnn3dlGkNzH4KFomHIbz0liR9T8fKF%2BcmlqUnMcdA7qUKXt0xNqAbZgeWu3%2FwFfRz4%2BQKa2rLUOTAYoV0%2FK0tg1qceFu7SzMi58i4Ul2i6a9VUzYIWiimdnqm7%2Fu8amv3XPna5LzHEFjck6C9P7kvZrRhICBhVZFNPYw%2BnmYWNzSGH7lGjR6yrhW47OwJbfxLOm53%2FspZhX4w8AFcXTDcJh1pn7jDRAL3viNqY7RK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<h1 class="title">Weight Lifting Exercise</h1>
<h4 class="author"><em>Stefan Buchholz</em></h4>
<h4 class="date"><em><ol start="10" style="list-style-type: decimal">
<li>August 2014</li>
</ol></em></h4>
</div>
<div id="task-description" class="section level1">
<h1>Task-Description</h1>
<p>In this project, my goal was to use data from accelerometers on the belt, forearm, arm, and dumbell of 6 participants. They were asked to perform barbell lifts correctly and incorrectly in 5 different ways. More information is available from the website here: <a href="http://groupware.les.inf.puc-rio.br/har">http://groupware.les.inf.puc-rio.br/har</a> (see the section on the Weight Lifting Exercise Dataset). The aim is to predict the outcome of “classe”-variable with the given variables in the training-dataset.</p>
</div>
<div id="dataset-description" class="section level1">
<h1>Dataset-Description</h1>
<p>The dataset that was downloaded on 24th of August 2014 from the following link: <a href="https://d396qusza40orc.cloudfront.net/predmachlearn/pml-training.csv">https://d396qusza40orc.cloudfront.net/predmachlearn/pml-training.csv</a> describes weight lifting exercises from 6 people. The Dataset contains 19622 observations of 160 variables where the last feature “classes” is an indicator how correct the exercise was done.</p>
<p>The variables in the dataset consists on different datatypes as factors, numerical and integer values. The ranges of the last types are in a negative through a postive range with a lot of NA values.</p>
</div>
<div id="getting-the-data" class="section level1">
<h1>Getting the Data</h1>
<p>The data was accessed on 24th of August at 17:45 GMT+1 since the given 20 test-cases are for the submission only I will only show how I get the training-data.</p>
<pre class="r"><code>library(RCurl)</code></pre>
<pre><code>## Warning: package 'RCurl' was built under R version 3.1.1</code></pre>
<pre><code>## Loading required package: bitops</code></pre>
<pre class="r"><code>#Windows specific workaround
options(RCurlOptions = list(cainfo = system.file("CurlSSL", "cacert.pem", package = "RCurl")))
#Training data
url <- "https://d396qusza40orc.cloudfront.net/predmachlearn/pml-training.csv"
website <- getURL(url)
raw_dataset <- read.csv(text = website)
#test data
url_test <- "https://d396qusza40orc.cloudfront.net/predmachlearn/pml-testing.csv"
website <- getURL(url_test)
test <- read.csv(text = website)</code></pre>
</div>
<div id="viewing-the-data" class="section level1">
<h1>Viewing the Data</h1>
<p>I started to view the data which I downloaded yet. There are no freaky column-names to clean but a lot of empty rows in a lot of variables.</p>
<pre class="r"><code>dim(raw_dataset)</code></pre>
<pre><code>## [1] 19622 160</code></pre>
<pre class="r"><code>colnames(raw_dataset)</code></pre>
<pre><code>## [1] "X" "user_name"
## [3] "raw_timestamp_part_1" "raw_timestamp_part_2"
## [5] "cvtd_timestamp" "new_window"
## [7] "num_window" "roll_belt"
## [9] "pitch_belt" "yaw_belt"
## [11] "total_accel_belt" "kurtosis_roll_belt"
## [13] "kurtosis_picth_belt" "kurtosis_yaw_belt"
## [15] "skewness_roll_belt" "skewness_roll_belt.1"
## [17] "skewness_yaw_belt" "max_roll_belt"
## [19] "max_picth_belt" "max_yaw_belt"
## [21] "min_roll_belt" "min_pitch_belt"
## [23] "min_yaw_belt" "amplitude_roll_belt"
## [25] "amplitude_pitch_belt" "amplitude_yaw_belt"
## [27] "var_total_accel_belt" "avg_roll_belt"
## [29] "stddev_roll_belt" "var_roll_belt"
## [31] "avg_pitch_belt" "stddev_pitch_belt"
## [33] "var_pitch_belt" "avg_yaw_belt"
## [35] "stddev_yaw_belt" "var_yaw_belt"
## [37] "gyros_belt_x" "gyros_belt_y"
## [39] "gyros_belt_z" "accel_belt_x"
## [41] "accel_belt_y" "accel_belt_z"
## [43] "magnet_belt_x" "magnet_belt_y"
## [45] "magnet_belt_z" "roll_arm"
## [47] "pitch_arm" "yaw_arm"
## [49] "total_accel_arm" "var_accel_arm"
## [51] "avg_roll_arm" "stddev_roll_arm"
## [53] "var_roll_arm" "avg_pitch_arm"
## [55] "stddev_pitch_arm" "var_pitch_arm"
## [57] "avg_yaw_arm" "stddev_yaw_arm"
## [59] "var_yaw_arm" "gyros_arm_x"
## [61] "gyros_arm_y" "gyros_arm_z"
## [63] "accel_arm_x" "accel_arm_y"
## [65] "accel_arm_z" "magnet_arm_x"
## [67] "magnet_arm_y" "magnet_arm_z"
## [69] "kurtosis_roll_arm" "kurtosis_picth_arm"
## [71] "kurtosis_yaw_arm" "skewness_roll_arm"
## [73] "skewness_pitch_arm" "skewness_yaw_arm"
## [75] "max_roll_arm" "max_picth_arm"
## [77] "max_yaw_arm" "min_roll_arm"
## [79] "min_pitch_arm" "min_yaw_arm"
## [81] "amplitude_roll_arm" "amplitude_pitch_arm"
## [83] "amplitude_yaw_arm" "roll_dumbbell"
## [85] "pitch_dumbbell" "yaw_dumbbell"
## [87] "kurtosis_roll_dumbbell" "kurtosis_picth_dumbbell"
## [89] "kurtosis_yaw_dumbbell" "skewness_roll_dumbbell"
## [91] "skewness_pitch_dumbbell" "skewness_yaw_dumbbell"
## [93] "max_roll_dumbbell" "max_picth_dumbbell"
## [95] "max_yaw_dumbbell" "min_roll_dumbbell"
## [97] "min_pitch_dumbbell" "min_yaw_dumbbell"
## [99] "amplitude_roll_dumbbell" "amplitude_pitch_dumbbell"
## [101] "amplitude_yaw_dumbbell" "total_accel_dumbbell"
## [103] "var_accel_dumbbell" "avg_roll_dumbbell"
## [105] "stddev_roll_dumbbell" "var_roll_dumbbell"
## [107] "avg_pitch_dumbbell" "stddev_pitch_dumbbell"
## [109] "var_pitch_dumbbell" "avg_yaw_dumbbell"
## [111] "stddev_yaw_dumbbell" "var_yaw_dumbbell"
## [113] "gyros_dumbbell_x" "gyros_dumbbell_y"
## [115] "gyros_dumbbell_z" "accel_dumbbell_x"
## [117] "accel_dumbbell_y" "accel_dumbbell_z"
## [119] "magnet_dumbbell_x" "magnet_dumbbell_y"
## [121] "magnet_dumbbell_z" "roll_forearm"
## [123] "pitch_forearm" "yaw_forearm"
## [125] "kurtosis_roll_forearm" "kurtosis_picth_forearm"
## [127] "kurtosis_yaw_forearm" "skewness_roll_forearm"
## [129] "skewness_pitch_forearm" "skewness_yaw_forearm"
## [131] "max_roll_forearm" "max_picth_forearm"
## [133] "max_yaw_forearm" "min_roll_forearm"
## [135] "min_pitch_forearm" "min_yaw_forearm"
## [137] "amplitude_roll_forearm" "amplitude_pitch_forearm"
## [139] "amplitude_yaw_forearm" "total_accel_forearm"
## [141] "var_accel_forearm" "avg_roll_forearm"
## [143] "stddev_roll_forearm" "var_roll_forearm"
## [145] "avg_pitch_forearm" "stddev_pitch_forearm"
## [147] "var_pitch_forearm" "avg_yaw_forearm"
## [149] "stddev_yaw_forearm" "var_yaw_forearm"
## [151] "gyros_forearm_x" "gyros_forearm_y"
## [153] "gyros_forearm_z" "accel_forearm_x"
## [155] "accel_forearm_y" "accel_forearm_z"
## [157] "magnet_forearm_x" "magnet_forearm_y"
## [159] "magnet_forearm_z" "classe"</code></pre>
<pre class="r"><code>summary(raw_dataset)</code></pre>
<pre><code>## X user_name raw_timestamp_part_1 raw_timestamp_part_2
## Min. : 1 adelmo :3892 Min. :1.32e+09 Min. : 294
## 1st Qu.: 4906 carlitos:3112 1st Qu.:1.32e+09 1st Qu.:252912
## Median : 9812 charles :3536 Median :1.32e+09 Median :496380
## Mean : 9812 eurico :3070 Mean :1.32e+09 Mean :500656
## 3rd Qu.:14717 jeremy :3402 3rd Qu.:1.32e+09 3rd Qu.:751891
## Max. :19622 pedro :2610 Max. :1.32e+09 Max. :998801
##
## cvtd_timestamp new_window num_window roll_belt
## 28/11/2011 14:14: 1498 no :19216 Min. : 1 Min. :-28.9
## 05/12/2011 11:24: 1497 yes: 406 1st Qu.:222 1st Qu.: 1.1
## 30/11/2011 17:11: 1440 Median :424 Median :113.0
## 05/12/2011 11:25: 1425 Mean :431 Mean : 64.4
## 02/12/2011 14:57: 1380 3rd Qu.:644 3rd Qu.:123.0
## 02/12/2011 13:34: 1375 Max. :864 Max. :162.0
## (Other) :11007
## pitch_belt yaw_belt total_accel_belt kurtosis_roll_belt
## Min. :-55.80 Min. :-180.0 Min. : 0.0 :19216
## 1st Qu.: 1.76 1st Qu.: -88.3 1st Qu.: 3.0 #DIV/0! : 10
## Median : 5.28 Median : -13.0 Median :17.0 -1.908453: 2
## Mean : 0.31 Mean : -11.2 Mean :11.3 -0.016850: 1
## 3rd Qu.: 14.90 3rd Qu.: 12.9 3rd Qu.:18.0 -0.021024: 1
## Max. : 60.30 Max. : 179.0 Max. :29.0 -0.025513: 1
## (Other) : 391
## kurtosis_picth_belt kurtosis_yaw_belt skewness_roll_belt
## :19216 :19216 :19216
## #DIV/0! : 32 #DIV/0!: 406 #DIV/0! : 9
## 47.000000: 4 0.000000 : 4
## -0.150950: 3 0.422463 : 2
## -0.684748: 3 -0.003095: 1
## -1.750749: 3 -0.010002: 1
## (Other) : 361 (Other) : 389
## skewness_roll_belt.1 skewness_yaw_belt max_roll_belt max_picth_belt
## :19216 :19216 Min. :-94 Min. : 3
## #DIV/0! : 32 #DIV/0!: 406 1st Qu.:-88 1st Qu.: 5
## 0.000000 : 4 Median : -5 Median :18
## -2.156553: 3 Mean : -7 Mean :13
## -3.072669: 3 3rd Qu.: 18 3rd Qu.:19
## -6.324555: 3 Max. :180 Max. :30
## (Other) : 361 NA's :19216 NA's :19216
## max_yaw_belt min_roll_belt min_pitch_belt min_yaw_belt
## :19216 Min. :-180 Min. : 0 :19216
## -1.1 : 30 1st Qu.: -88 1st Qu.: 3 -1.1 : 30
## -1.4 : 29 Median : -8 Median :16 -1.4 : 29
## -1.2 : 26 Mean : -10 Mean :11 -1.2 : 26
## -0.9 : 24 3rd Qu.: 9 3rd Qu.:17 -0.9 : 24
## -1.3 : 22 Max. : 173 Max. :23 -1.3 : 22
## (Other): 275 NA's :19216 NA's :19216 (Other): 275
## amplitude_roll_belt amplitude_pitch_belt amplitude_yaw_belt
## Min. : 0 Min. : 0 :19216
## 1st Qu.: 0 1st Qu.: 1 #DIV/0!: 10
## Median : 1 Median : 1 0.00 : 12
## Mean : 4 Mean : 2 0.0000 : 384
## 3rd Qu.: 2 3rd Qu.: 2
## Max. :360 Max. :12
## NA's :19216 NA's :19216
## var_total_accel_belt avg_roll_belt stddev_roll_belt var_roll_belt
## Min. : 0 Min. :-27 Min. : 0 Min. : 0
## 1st Qu.: 0 1st Qu.: 1 1st Qu.: 0 1st Qu.: 0
## Median : 0 Median :116 Median : 0 Median : 0
## Mean : 1 Mean : 68 Mean : 1 Mean : 8
## 3rd Qu.: 0 3rd Qu.:123 3rd Qu.: 1 3rd Qu.: 0
## Max. :16 Max. :157 Max. :14 Max. :201
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## avg_pitch_belt stddev_pitch_belt var_pitch_belt avg_yaw_belt
## Min. :-51 Min. :0 Min. : 0 Min. :-138
## 1st Qu.: 2 1st Qu.:0 1st Qu.: 0 1st Qu.: -88
## Median : 5 Median :0 Median : 0 Median : -7
## Mean : 1 Mean :1 Mean : 1 Mean : -9
## 3rd Qu.: 16 3rd Qu.:1 3rd Qu.: 0 3rd Qu.: 14
## Max. : 60 Max. :4 Max. :16 Max. : 174
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## stddev_yaw_belt var_yaw_belt gyros_belt_x gyros_belt_y
## Min. : 0 Min. : 0 Min. :-1.0400 Min. :-0.6400
## 1st Qu.: 0 1st Qu.: 0 1st Qu.:-0.0300 1st Qu.: 0.0000
## Median : 0 Median : 0 Median : 0.0300 Median : 0.0200
## Mean : 1 Mean : 107 Mean :-0.0056 Mean : 0.0396
## 3rd Qu.: 1 3rd Qu.: 0 3rd Qu.: 0.1100 3rd Qu.: 0.1100
## Max. :177 Max. :31183 Max. : 2.2200 Max. : 0.6400
## NA's :19216 NA's :19216
## gyros_belt_z accel_belt_x accel_belt_y accel_belt_z
## Min. :-1.460 Min. :-120.00 Min. :-69.0 Min. :-275.0
## 1st Qu.:-0.200 1st Qu.: -21.00 1st Qu.: 3.0 1st Qu.:-162.0
## Median :-0.100 Median : -15.00 Median : 35.0 Median :-152.0
## Mean :-0.130 Mean : -5.59 Mean : 30.1 Mean : -72.6
## 3rd Qu.:-0.020 3rd Qu.: -5.00 3rd Qu.: 61.0 3rd Qu.: 27.0
## Max. : 1.620 Max. : 85.00 Max. :164.0 Max. : 105.0
##
## magnet_belt_x magnet_belt_y magnet_belt_z roll_arm
## Min. :-52.0 Min. :354 Min. :-623 Min. :-180.0
## 1st Qu.: 9.0 1st Qu.:581 1st Qu.:-375 1st Qu.: -31.8
## Median : 35.0 Median :601 Median :-320 Median : 0.0
## Mean : 55.6 Mean :594 Mean :-346 Mean : 17.8
## 3rd Qu.: 59.0 3rd Qu.:610 3rd Qu.:-306 3rd Qu.: 77.3
## Max. :485.0 Max. :673 Max. : 293 Max. : 180.0
##
## pitch_arm yaw_arm total_accel_arm var_accel_arm
## Min. :-88.80 Min. :-180.00 Min. : 1.0 Min. : 0
## 1st Qu.:-25.90 1st Qu.: -43.10 1st Qu.:17.0 1st Qu.: 9
## Median : 0.00 Median : 0.00 Median :27.0 Median : 41
## Mean : -4.61 Mean : -0.62 Mean :25.5 Mean : 53
## 3rd Qu.: 11.20 3rd Qu.: 45.88 3rd Qu.:33.0 3rd Qu.: 76
## Max. : 88.50 Max. : 180.00 Max. :66.0 Max. :332
## NA's :19216
## avg_roll_arm stddev_roll_arm var_roll_arm avg_pitch_arm
## Min. :-167 Min. : 0 Min. : 0 Min. :-82
## 1st Qu.: -38 1st Qu.: 1 1st Qu.: 2 1st Qu.:-23
## Median : 0 Median : 6 Median : 33 Median : 0
## Mean : 13 Mean : 11 Mean : 417 Mean : -5
## 3rd Qu.: 76 3rd Qu.: 15 3rd Qu.: 223 3rd Qu.: 8
## Max. : 163 Max. :162 Max. :26232 Max. : 76
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## stddev_pitch_arm var_pitch_arm avg_yaw_arm stddev_yaw_arm
## Min. : 0 Min. : 0 Min. :-173 Min. : 0
## 1st Qu.: 2 1st Qu.: 3 1st Qu.: -29 1st Qu.: 3
## Median : 8 Median : 66 Median : 0 Median : 17
## Mean :10 Mean : 196 Mean : 2 Mean : 22
## 3rd Qu.:16 3rd Qu.: 267 3rd Qu.: 38 3rd Qu.: 36
## Max. :43 Max. :1885 Max. : 152 Max. :177
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## var_yaw_arm gyros_arm_x gyros_arm_y gyros_arm_z
## Min. : 0 Min. :-6.370 Min. :-3.440 Min. :-2.33
## 1st Qu.: 7 1st Qu.:-1.330 1st Qu.:-0.800 1st Qu.:-0.07
## Median : 278 Median : 0.080 Median :-0.240 Median : 0.23
## Mean : 1056 Mean : 0.043 Mean :-0.257 Mean : 0.27
## 3rd Qu.: 1295 3rd Qu.: 1.570 3rd Qu.: 0.140 3rd Qu.: 0.72
## Max. :31345 Max. : 4.870 Max. : 2.840 Max. : 3.02
## NA's :19216
## accel_arm_x accel_arm_y accel_arm_z magnet_arm_x
## Min. :-404.0 Min. :-318.0 Min. :-636.0 Min. :-584
## 1st Qu.:-242.0 1st Qu.: -54.0 1st Qu.:-143.0 1st Qu.:-300
## Median : -44.0 Median : 14.0 Median : -47.0 Median : 289
## Mean : -60.2 Mean : 32.6 Mean : -71.2 Mean : 192
## 3rd Qu.: 84.0 3rd Qu.: 139.0 3rd Qu.: 23.0 3rd Qu.: 637
## Max. : 437.0 Max. : 308.0 Max. : 292.0 Max. : 782
##
## magnet_arm_y magnet_arm_z kurtosis_roll_arm kurtosis_picth_arm
## Min. :-392 Min. :-597 :19216 :19216
## 1st Qu.: -9 1st Qu.: 131 #DIV/0! : 78 #DIV/0! : 80
## Median : 202 Median : 444 -0.02438: 1 -0.00484: 1
## Mean : 157 Mean : 306 -0.04190: 1 -0.01311: 1
## 3rd Qu.: 323 3rd Qu.: 545 -0.05051: 1 -0.02967: 1
## Max. : 583 Max. : 694 -0.05695: 1 -0.07394: 1
## (Other) : 324 (Other) : 322
## kurtosis_yaw_arm skewness_roll_arm skewness_pitch_arm skewness_yaw_arm
## :19216 :19216 :19216 :19216
## #DIV/0! : 11 #DIV/0! : 77 #DIV/0! : 80 #DIV/0! : 11
## 0.55844 : 2 -0.00051: 1 -0.00184: 1 -1.62032: 2
## 0.65132 : 2 -0.00696: 1 -0.01185: 1 0.55053 : 2
## -0.01548: 1 -0.01884: 1 -0.01247: 1 -0.00311: 1
## -0.01749: 1 -0.03359: 1 -0.02063: 1 -0.00562: 1
## (Other) : 389 (Other) : 325 (Other) : 322 (Other) : 389
## max_roll_arm max_picth_arm max_yaw_arm min_roll_arm
## Min. :-73 Min. :-173 Min. : 4 Min. :-89
## 1st Qu.: 0 1st Qu.: -2 1st Qu.:29 1st Qu.:-42
## Median : 5 Median : 23 Median :34 Median :-22
## Mean : 11 Mean : 36 Mean :35 Mean :-21
## 3rd Qu.: 27 3rd Qu.: 96 3rd Qu.:41 3rd Qu.: 0
## Max. : 86 Max. : 180 Max. :65 Max. : 66
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## min_pitch_arm min_yaw_arm amplitude_roll_arm amplitude_pitch_arm
## Min. :-180 Min. : 1 Min. : 0 Min. : 0
## 1st Qu.: -73 1st Qu.: 8 1st Qu.: 5 1st Qu.: 10
## Median : -34 Median :13 Median : 28 Median : 55
## Mean : -34 Mean :15 Mean : 32 Mean : 70
## 3rd Qu.: 0 3rd Qu.:19 3rd Qu.: 51 3rd Qu.:115
## Max. : 152 Max. :38 Max. :120 Max. :360
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## amplitude_yaw_arm roll_dumbbell pitch_dumbbell yaw_dumbbell
## Min. : 0 Min. :-153.7 Min. :-149.6 Min. :-150.87
## 1st Qu.:13 1st Qu.: -18.5 1st Qu.: -40.9 1st Qu.: -77.64
## Median :22 Median : 48.2 Median : -21.0 Median : -3.32
## Mean :21 Mean : 23.8 Mean : -10.8 Mean : 1.67
## 3rd Qu.:29 3rd Qu.: 67.6 3rd Qu.: 17.5 3rd Qu.: 79.64
## Max. :52 Max. : 153.6 Max. : 149.4 Max. : 154.95
## NA's :19216
## kurtosis_roll_dumbbell kurtosis_picth_dumbbell kurtosis_yaw_dumbbell
## :19216 :19216 :19216
## #DIV/0!: 5 -0.5464: 2 #DIV/0!: 406
## -0.2583: 2 -0.9334: 2
## -0.3705: 2 -2.0833: 2
## -0.5855: 2 -2.0851: 2
## -2.0851: 2 -2.0889: 2
## (Other): 393 (Other): 396
## skewness_roll_dumbbell skewness_pitch_dumbbell skewness_yaw_dumbbell
## :19216 :19216 :19216
## #DIV/0!: 4 -0.2328: 2 #DIV/0!: 406
## -0.9324: 2 -0.3521: 2
## 0.1110 : 2 -0.7036: 2
## 1.0312 : 2 0.1090 : 2
## -0.0082: 1 1.0326 : 2
## (Other): 395 (Other): 396
## max_roll_dumbbell max_picth_dumbbell max_yaw_dumbbell min_roll_dumbbell
## Min. :-70 Min. :-113 :19216 Min. :-150
## 1st Qu.:-27 1st Qu.: -67 -0.6 : 20 1st Qu.: -60
## Median : 15 Median : 40 0.2 : 19 Median : -44
## Mean : 14 Mean : 33 -0.8 : 18 Mean : -41
## 3rd Qu.: 51 3rd Qu.: 133 -0.3 : 16 3rd Qu.: -25
## Max. :137 Max. : 155 -0.2 : 15 Max. : 73
## NA's :19216 NA's :19216 (Other): 318 NA's :19216
## min_pitch_dumbbell min_yaw_dumbbell amplitude_roll_dumbbell
## Min. :-147 :19216 Min. : 0
## 1st Qu.: -92 -0.6 : 20 1st Qu.: 15
## Median : -66 0.2 : 19 Median : 35
## Mean : -33 -0.8 : 18 Mean : 55
## 3rd Qu.: 21 -0.3 : 16 3rd Qu.: 81
## Max. : 121 -0.2 : 15 Max. :256
## NA's :19216 (Other): 318 NA's :19216
## amplitude_pitch_dumbbell amplitude_yaw_dumbbell total_accel_dumbbell
## Min. : 0 :19216 Min. : 0.0
## 1st Qu.: 17 #DIV/0!: 5 1st Qu.: 4.0
## Median : 42 0.00 : 401 Median :10.0
## Mean : 66 Mean :13.7
## 3rd Qu.:100 3rd Qu.:19.0
## Max. :274 Max. :58.0
## NA's :19216
## var_accel_dumbbell avg_roll_dumbbell stddev_roll_dumbbell
## Min. : 0 Min. :-129 Min. : 0
## 1st Qu.: 0 1st Qu.: -12 1st Qu.: 5
## Median : 1 Median : 48 Median : 12
## Mean : 4 Mean : 24 Mean : 21
## 3rd Qu.: 3 3rd Qu.: 64 3rd Qu.: 26
## Max. :230 Max. : 126 Max. :124
## NA's :19216 NA's :19216 NA's :19216
## var_roll_dumbbell avg_pitch_dumbbell stddev_pitch_dumbbell
## Min. : 0 Min. :-71 Min. : 0
## 1st Qu.: 22 1st Qu.:-42 1st Qu.: 3
## Median : 149 Median :-20 Median : 8
## Mean : 1020 Mean :-12 Mean :13
## 3rd Qu.: 695 3rd Qu.: 13 3rd Qu.:19
## Max. :15321 Max. : 94 Max. :83
## NA's :19216 NA's :19216 NA's :19216
## var_pitch_dumbbell avg_yaw_dumbbell stddev_yaw_dumbbell var_yaw_dumbbell
## Min. : 0 Min. :-118 Min. : 0 Min. : 0
## 1st Qu.: 12 1st Qu.: -77 1st Qu.: 4 1st Qu.: 15
## Median : 65 Median : -5 Median : 10 Median : 105
## Mean : 350 Mean : 0 Mean : 17 Mean : 590
## 3rd Qu.: 370 3rd Qu.: 71 3rd Qu.: 25 3rd Qu.: 609
## Max. :6836 Max. : 135 Max. :107 Max. :11468
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## gyros_dumbbell_x gyros_dumbbell_y gyros_dumbbell_z accel_dumbbell_x
## Min. :-204.00 Min. :-2.10 Min. : -2.4 Min. :-419.0
## 1st Qu.: -0.03 1st Qu.:-0.14 1st Qu.: -0.3 1st Qu.: -50.0
## Median : 0.13 Median : 0.03 Median : -0.1 Median : -8.0
## Mean : 0.16 Mean : 0.05 Mean : -0.1 Mean : -28.6
## 3rd Qu.: 0.35 3rd Qu.: 0.21 3rd Qu.: 0.0 3rd Qu.: 11.0
## Max. : 2.22 Max. :52.00 Max. :317.0 Max. : 235.0
##
## accel_dumbbell_y accel_dumbbell_z magnet_dumbbell_x magnet_dumbbell_y
## Min. :-189.0 Min. :-334.0 Min. :-643 Min. :-3600
## 1st Qu.: -8.0 1st Qu.:-142.0 1st Qu.:-535 1st Qu.: 231
## Median : 41.5 Median : -1.0 Median :-479 Median : 311
## Mean : 52.6 Mean : -38.3 Mean :-328 Mean : 221
## 3rd Qu.: 111.0 3rd Qu.: 38.0 3rd Qu.:-304 3rd Qu.: 390
## Max. : 315.0 Max. : 318.0 Max. : 592 Max. : 633
##
## magnet_dumbbell_z roll_forearm pitch_forearm yaw_forearm
## Min. :-262.0 Min. :-180.00 Min. :-72.50 Min. :-180.0
## 1st Qu.: -45.0 1st Qu.: -0.74 1st Qu.: 0.00 1st Qu.: -68.6
## Median : 13.0 Median : 21.70 Median : 9.24 Median : 0.0
## Mean : 46.1 Mean : 33.83 Mean : 10.71 Mean : 19.2
## 3rd Qu.: 95.0 3rd Qu.: 140.00 3rd Qu.: 28.40 3rd Qu.: 110.0
## Max. : 452.0 Max. : 180.00 Max. : 89.80 Max. : 180.0
##
## kurtosis_roll_forearm kurtosis_picth_forearm kurtosis_yaw_forearm
## :19216 :19216 :19216
## #DIV/0!: 84 #DIV/0!: 85 #DIV/0!: 406
## -0.8079: 2 -0.0073: 1
## -0.9169: 2 -0.0442: 1
## -0.0227: 1 -0.0489: 1
## -0.0359: 1 -0.0523: 1
## (Other): 316 (Other): 317
## skewness_roll_forearm skewness_pitch_forearm skewness_yaw_forearm
## :19216 :19216 :19216
## #DIV/0!: 83 #DIV/0!: 85 #DIV/0!: 406
## -0.1912: 2 0.0000 : 4
## -0.4126: 2 -0.6992: 2
## -0.0004: 1 -0.0113: 1
## -0.0013: 1 -0.0131: 1
## (Other): 317 (Other): 313
## max_roll_forearm max_picth_forearm max_yaw_forearm min_roll_forearm
## Min. :-67 Min. :-151 :19216 Min. :-72
## 1st Qu.: 0 1st Qu.: 0 #DIV/0!: 84 1st Qu.: -6
## Median : 27 Median : 113 -1.2 : 32 Median : 0
## Mean : 24 Mean : 81 -1.3 : 31 Mean : 0
## 3rd Qu.: 46 3rd Qu.: 175 -1.4 : 24 3rd Qu.: 12
## Max. : 90 Max. : 180 -1.5 : 24 Max. : 62
## NA's :19216 NA's :19216 (Other): 211 NA's :19216
## min_pitch_forearm min_yaw_forearm amplitude_roll_forearm
## Min. :-180 :19216 Min. : 0
## 1st Qu.:-175 #DIV/0!: 84 1st Qu.: 1
## Median : -61 -1.2 : 32 Median : 18
## Mean : -58 -1.3 : 31 Mean : 25
## 3rd Qu.: 0 -1.4 : 24 3rd Qu.: 40
## Max. : 167 -1.5 : 24 Max. :126
## NA's :19216 (Other): 211 NA's :19216
## amplitude_pitch_forearm amplitude_yaw_forearm total_accel_forearm
## Min. : 0 :19216 Min. : 0.0
## 1st Qu.: 2 #DIV/0!: 84 1st Qu.: 29.0
## Median : 84 0.00 : 322 Median : 36.0
## Mean :139 Mean : 34.7
## 3rd Qu.:350 3rd Qu.: 41.0
## Max. :360 Max. :108.0
## NA's :19216
## var_accel_forearm avg_roll_forearm stddev_roll_forearm var_roll_forearm
## Min. : 0 Min. :-177 Min. : 0 Min. : 0
## 1st Qu.: 7 1st Qu.: -1 1st Qu.: 0 1st Qu.: 0
## Median : 21 Median : 11 Median : 8 Median : 64
## Mean : 34 Mean : 33 Mean : 42 Mean : 5274
## 3rd Qu.: 51 3rd Qu.: 107 3rd Qu.: 85 3rd Qu.: 7289
## Max. :173 Max. : 177 Max. :179 Max. :32102
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## avg_pitch_forearm stddev_pitch_forearm var_pitch_forearm avg_yaw_forearm
## Min. :-68 Min. : 0 Min. : 0 Min. :-155
## 1st Qu.: 0 1st Qu.: 0 1st Qu.: 0 1st Qu.: -26
## Median : 12 Median : 6 Median : 30 Median : 0
## Mean : 12 Mean : 8 Mean : 140 Mean : 18
## 3rd Qu.: 28 3rd Qu.:13 3rd Qu.: 166 3rd Qu.: 86
## Max. : 72 Max. :48 Max. :2280 Max. : 169
## NA's :19216 NA's :19216 NA's :19216 NA's :19216
## stddev_yaw_forearm var_yaw_forearm gyros_forearm_x gyros_forearm_y
## Min. : 0 Min. : 0 Min. :-22.000 Min. : -7.02
## 1st Qu.: 1 1st Qu.: 0 1st Qu.: -0.220 1st Qu.: -1.46
## Median : 25 Median : 612 Median : 0.050 Median : 0.03
## Mean : 45 Mean : 4640 Mean : 0.158 Mean : 0.08
## 3rd Qu.: 86 3rd Qu.: 7368 3rd Qu.: 0.560 3rd Qu.: 1.62
## Max. :198 Max. :39009 Max. : 3.970 Max. :311.00
## NA's :19216 NA's :19216
## gyros_forearm_z accel_forearm_x accel_forearm_y accel_forearm_z
## Min. : -8.09 Min. :-498.0 Min. :-632 Min. :-446.0
## 1st Qu.: -0.18 1st Qu.:-178.0 1st Qu.: 57 1st Qu.:-182.0
## Median : 0.08 Median : -57.0 Median : 201 Median : -39.0
## Mean : 0.15 Mean : -61.7 Mean : 164 Mean : -55.3
## 3rd Qu.: 0.49 3rd Qu.: 76.0 3rd Qu.: 312 3rd Qu.: 26.0
## Max. :231.00 Max. : 477.0 Max. : 923 Max. : 291.0
##
## magnet_forearm_x magnet_forearm_y magnet_forearm_z classe
## Min. :-1280 Min. :-896 Min. :-973 A:5580
## 1st Qu.: -616 1st Qu.: 2 1st Qu.: 191 B:3797
## Median : -378 Median : 591 Median : 511 C:3422
## Mean : -313 Mean : 380 Mean : 394 D:3216
## 3rd Qu.: -73 3rd Qu.: 737 3rd Qu.: 653 E:3607
## Max. : 672 Max. :1480 Max. :1090
## </code></pre>
<pre class="r"><code>#str(raw_dataset)
head(raw_dataset)</code></pre>
<pre><code>## X user_name raw_timestamp_part_1 raw_timestamp_part_2 cvtd_timestamp
## 1 1 carlitos 1323084231 788290 05/12/2011 11:23
## 2 2 carlitos 1323084231 808298 05/12/2011 11:23
## 3 3 carlitos 1323084231 820366 05/12/2011 11:23
## 4 4 carlitos 1323084232 120339 05/12/2011 11:23
## 5 5 carlitos 1323084232 196328 05/12/2011 11:23
## 6 6 carlitos 1323084232 304277 05/12/2011 11:23
## new_window num_window roll_belt pitch_belt yaw_belt total_accel_belt
## 1 no 11 1.41 8.07 -94.4 3
## 2 no 11 1.41 8.07 -94.4 3
## 3 no 11 1.42 8.07 -94.4 3
## 4 no 12 1.48 8.05 -94.4 3
## 5 no 12 1.48 8.07 -94.4 3
## 6 no 12 1.45 8.06 -94.4 3
## kurtosis_roll_belt kurtosis_picth_belt kurtosis_yaw_belt
## 1
## 2
## 3
## 4
## 5
## 6
## skewness_roll_belt skewness_roll_belt.1 skewness_yaw_belt max_roll_belt
## 1 NA
## 2 NA
## 3 NA
## 4 NA
## 5 NA
## 6 NA
## max_picth_belt max_yaw_belt min_roll_belt min_pitch_belt min_yaw_belt
## 1 NA NA NA
## 2 NA NA NA
## 3 NA NA NA
## 4 NA NA NA
## 5 NA NA NA
## 6 NA NA NA
## amplitude_roll_belt amplitude_pitch_belt amplitude_yaw_belt
## 1 NA NA
## 2 NA NA
## 3 NA NA
## 4 NA NA
## 5 NA NA
## 6 NA NA
## var_total_accel_belt avg_roll_belt stddev_roll_belt var_roll_belt
## 1 NA NA NA NA
## 2 NA NA NA NA
## 3 NA NA NA NA
## 4 NA NA NA NA
## 5 NA NA NA NA
## 6 NA NA NA NA
## avg_pitch_belt stddev_pitch_belt var_pitch_belt avg_yaw_belt
## 1 NA NA NA NA
## 2 NA NA NA NA
## 3 NA NA NA NA
## 4 NA NA NA NA
## 5 NA NA NA NA
## 6 NA NA NA NA
## stddev_yaw_belt var_yaw_belt gyros_belt_x gyros_belt_y gyros_belt_z
## 1 NA NA 0.00 0.00 -0.02
## 2 NA NA 0.02 0.00 -0.02
## 3 NA NA 0.00 0.00 -0.02
## 4 NA NA 0.02 0.00 -0.03
## 5 NA NA 0.02 0.02 -0.02
## 6 NA NA 0.02 0.00 -0.02
## accel_belt_x accel_belt_y accel_belt_z magnet_belt_x magnet_belt_y
## 1 -21 4 22 -3 599
## 2 -22 4 22 -7 608
## 3 -20 5 23 -2 600
## 4 -22 3 21 -6 604
## 5 -21 2 24 -6 600
## 6 -21 4 21 0 603
## magnet_belt_z roll_arm pitch_arm yaw_arm total_accel_arm var_accel_arm
## 1 -313 -128 22.5 -161 34 NA
## 2 -311 -128 22.5 -161 34 NA
## 3 -305 -128 22.5 -161 34 NA
## 4 -310 -128 22.1 -161 34 NA
## 5 -302 -128 22.1 -161 34 NA
## 6 -312 -128 22.0 -161 34 NA
## avg_roll_arm stddev_roll_arm var_roll_arm avg_pitch_arm stddev_pitch_arm
## 1 NA NA NA NA NA
## 2 NA NA NA NA NA
## 3 NA NA NA NA NA
## 4 NA NA NA NA NA
## 5 NA NA NA NA NA
## 6 NA NA NA NA NA
## var_pitch_arm avg_yaw_arm stddev_yaw_arm var_yaw_arm gyros_arm_x
## 1 NA NA NA NA 0.00
## 2 NA NA NA NA 0.02
## 3 NA NA NA NA 0.02
## 4 NA NA NA NA 0.02
## 5 NA NA NA NA 0.00
## 6 NA NA NA NA 0.02
## gyros_arm_y gyros_arm_z accel_arm_x accel_arm_y accel_arm_z magnet_arm_x
## 1 0.00 -0.02 -288 109 -123 -368
## 2 -0.02 -0.02 -290 110 -125 -369
## 3 -0.02 -0.02 -289 110 -126 -368
## 4 -0.03 0.02 -289 111 -123 -372
## 5 -0.03 0.00 -289 111 -123 -374
## 6 -0.03 0.00 -289 111 -122 -369
## magnet_arm_y magnet_arm_z kurtosis_roll_arm kurtosis_picth_arm
## 1 337 516
## 2 337 513
## 3 344 513
## 4 344 512
## 5 337 506
## 6 342 513
## kurtosis_yaw_arm skewness_roll_arm skewness_pitch_arm skewness_yaw_arm
## 1
## 2
## 3
## 4
## 5
## 6
## max_roll_arm max_picth_arm max_yaw_arm min_roll_arm min_pitch_arm
## 1 NA NA NA NA NA
## 2 NA NA NA NA NA
## 3 NA NA NA NA NA
## 4 NA NA NA NA NA
## 5 NA NA NA NA NA
## 6 NA NA NA NA NA
## min_yaw_arm amplitude_roll_arm amplitude_pitch_arm amplitude_yaw_arm
## 1 NA NA NA NA
## 2 NA NA NA NA
## 3 NA NA NA NA
## 4 NA NA NA NA
## 5 NA NA NA NA
## 6 NA NA NA NA
## roll_dumbbell pitch_dumbbell yaw_dumbbell kurtosis_roll_dumbbell
## 1 13.05 -70.49 -84.87
## 2 13.13 -70.64 -84.71
## 3 12.85 -70.28 -85.14
## 4 13.43 -70.39 -84.87
## 5 13.38 -70.43 -84.85
## 6 13.38 -70.82 -84.47
## kurtosis_picth_dumbbell kurtosis_yaw_dumbbell skewness_roll_dumbbell
## 1
## 2
## 3
## 4
## 5
## 6
## skewness_pitch_dumbbell skewness_yaw_dumbbell max_roll_dumbbell
## 1 NA
## 2 NA
## 3 NA
## 4 NA
## 5 NA
## 6 NA
## max_picth_dumbbell max_yaw_dumbbell min_roll_dumbbell min_pitch_dumbbell
## 1 NA NA NA
## 2 NA NA NA
## 3 NA NA NA
## 4 NA NA NA
## 5 NA NA NA
## 6 NA NA NA
## min_yaw_dumbbell amplitude_roll_dumbbell amplitude_pitch_dumbbell
## 1 NA NA
## 2 NA NA
## 3 NA NA
## 4 NA NA
## 5 NA NA
## 6 NA NA
## amplitude_yaw_dumbbell total_accel_dumbbell var_accel_dumbbell
## 1 37 NA
## 2 37 NA
## 3 37 NA
## 4 37 NA
## 5 37 NA
## 6 37 NA
## avg_roll_dumbbell stddev_roll_dumbbell var_roll_dumbbell
## 1 NA NA NA
## 2 NA NA NA
## 3 NA NA NA
## 4 NA NA NA
## 5 NA NA NA
## 6 NA NA NA
## avg_pitch_dumbbell stddev_pitch_dumbbell var_pitch_dumbbell
## 1 NA NA NA
## 2 NA NA NA
## 3 NA NA NA
## 4 NA NA NA
## 5 NA NA NA
## 6 NA NA NA
## avg_yaw_dumbbell stddev_yaw_dumbbell var_yaw_dumbbell gyros_dumbbell_x
## 1 NA NA NA 0
## 2 NA NA NA 0
## 3 NA NA NA 0
## 4 NA NA NA 0
## 5 NA NA NA 0
## 6 NA NA NA 0
## gyros_dumbbell_y gyros_dumbbell_z accel_dumbbell_x accel_dumbbell_y
## 1 -0.02 0.00 -234 47
## 2 -0.02 0.00 -233 47
## 3 -0.02 0.00 -232 46
## 4 -0.02 -0.02 -232 48
## 5 -0.02 0.00 -233 48
## 6 -0.02 0.00 -234 48
## accel_dumbbell_z magnet_dumbbell_x magnet_dumbbell_y magnet_dumbbell_z
## 1 -271 -559 293 -65
## 2 -269 -555 296 -64
## 3 -270 -561 298 -63
## 4 -269 -552 303 -60
## 5 -270 -554 292 -68
## 6 -269 -558 294 -66
## roll_forearm pitch_forearm yaw_forearm kurtosis_roll_forearm
## 1 28.4 -63.9 -153
## 2 28.3 -63.9 -153
## 3 28.3 -63.9 -152
## 4 28.1 -63.9 -152
## 5 28.0 -63.9 -152
## 6 27.9 -63.9 -152
## kurtosis_picth_forearm kurtosis_yaw_forearm skewness_roll_forearm
## 1
## 2
## 3
## 4
## 5
## 6
## skewness_pitch_forearm skewness_yaw_forearm max_roll_forearm
## 1 NA
## 2 NA
## 3 NA
## 4 NA
## 5 NA
## 6 NA
## max_picth_forearm max_yaw_forearm min_roll_forearm min_pitch_forearm
## 1 NA NA NA
## 2 NA NA NA
## 3 NA NA NA
## 4 NA NA NA
## 5 NA NA NA
## 6 NA NA NA
## min_yaw_forearm amplitude_roll_forearm amplitude_pitch_forearm
## 1 NA NA
## 2 NA NA
## 3 NA NA
## 4 NA NA
## 5 NA NA
## 6 NA NA
## amplitude_yaw_forearm total_accel_forearm var_accel_forearm
## 1 36 NA
## 2 36 NA
## 3 36 NA
## 4 36 NA
## 5 36 NA
## 6 36 NA
## avg_roll_forearm stddev_roll_forearm var_roll_forearm avg_pitch_forearm
## 1 NA NA NA NA
## 2 NA NA NA NA
## 3 NA NA NA NA
## 4 NA NA NA NA
## 5 NA NA NA NA
## 6 NA NA NA NA
## stddev_pitch_forearm var_pitch_forearm avg_yaw_forearm
## 1 NA NA NA
## 2 NA NA NA
## 3 NA NA NA
## 4 NA NA NA
## 5 NA NA NA
## 6 NA NA NA
## stddev_yaw_forearm var_yaw_forearm gyros_forearm_x gyros_forearm_y
## 1 NA NA 0.03 0.00
## 2 NA NA 0.02 0.00
## 3 NA NA 0.03 -0.02
## 4 NA NA 0.02 -0.02
## 5 NA NA 0.02 0.00
## 6 NA NA 0.02 -0.02
## gyros_forearm_z accel_forearm_x accel_forearm_y accel_forearm_z
## 1 -0.02 192 203 -215
## 2 -0.02 192 203 -216
## 3 0.00 196 204 -213
## 4 0.00 189 206 -214
## 5 -0.02 189 206 -214
## 6 -0.03 193 203 -215
## magnet_forearm_x magnet_forearm_y magnet_forearm_z classe
## 1 -17 654 476 A
## 2 -18 661 473 A
## 3 -18 658 469 A
## 4 -16 658 469 A
## 5 -17 655 473 A
## 6 -9 660 478 A</code></pre>
</div>
<div id="cleaning-the-data" class="section level1">
<h1>Cleaning the data</h1>
<p>Because when viewing the data I recognised different data-types for the columns so what I did was converting them to numeric data to get proper NAN and / or NA values for the later steps. I also excluded the first 8 variables of the data set, because it were only meta-data for the study and or for the person which made the exercise so it had not really a lot to do with the measured data. What I finally get is a tidy dataset with 53 variables (where the classe variable is included).</p>
<pre class="r"><code># convert columns to get correct NA values
for(i in seq_along(raw_dataset[,5:159])) {
raw_dataset[,i] <- as.numeric(raw_dataset[,i])
}
#converting columns in testdata
for(i in seq_along(test[,5:159])) {
test[,i] <- as.numeric(test[,i])
}
y <- NULL
for(i in seq_along(test)) {
y <- c(y,sum(is.na(test[,i])) > 0)
}
#exclude columns where NAs included
temp <- raw_dataset[,!y]
temp_test <- test[, !y]
#now exclude what doesnt work
data <- temp[, 8:60]
data_test <- temp_test[, 8:60]</code></pre>
</div>
<div id="splitting-the-training-data-into-train-and-test-set" class="section level1">
<h1>Splitting the training data into train and test-set</h1>
<p>Once cleaned out the data i seperated the given training data set into 2 by the classe variable into 70% of all train data into a training set and the other 30% into the test set.</p>
<pre class="r"><code>library(caret)</code></pre>
<pre><code>## Warning: package 'caret' was built under R version 3.1.1</code></pre>
<pre><code>## Loading required package: lattice
## Loading required package: ggplot2</code></pre>
<pre><code>## Warning: package 'ggplot2' was built under R version 3.1.1</code></pre>
<pre class="r"><code>intrain <- createDataPartition(y=data$classe, p=0.7, list=FALSE)
training_data <- data[intrain,]
test_data <- data[-intrain,]</code></pre>
</div>
<div id="making-first-model-with-a-tree-model" class="section level1">
<h1>Making first model with a Tree model</h1>
<p>Here I started modeling with a tree approach with 5 splits and give out a nice plot of the tree. Unfortunatly the accuracy of the model is very low so this model isnt right for the given data.</p>
<pre class="r"><code>library(caret)
set.seed(10)
model <- train(classe ~ ., method="rpart", data=training_data)</code></pre>
<pre><code>## Loading required package: rpart</code></pre>
<pre><code>## Warning: package 'rpart' was built under R version 3.1.1
## Warning: package 'e1071' was built under R version 3.1.1</code></pre>
<pre class="r"><code>library(rattle)</code></pre>
<pre><code>## Warning: package 'rattle' was built under R version 3.1.1</code></pre>
<pre><code>## Rattle: Ein kostenloses grafisches Interface für Data Mining mit R.
## Version 3.1.0 Copyright (c) 2006-2014 Togaware Pty Ltd.
## Geben Sie 'rattle()' ein, um Ihre Daten mischen.</code></pre>
<pre class="r"><code>fancyRpartPlot(model$finalModel)</code></pre>
<pre><code>## Loading required package: rpart.plot</code></pre>
<pre><code>## Warning: package 'rpart.plot' was built under R version 3.1.1</code></pre>
<pre><code>## Loading required package: RColorBrewer</code></pre>
<pre><code>## Warning: package 'RColorBrewer' was built under R version 3.1.1</code></pre>
<p><img 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" title="plot of chunk make Tree and graph it" alt="plot of chunk make Tree and graph it" width="672" /></p>
<pre class="r"><code>#predict it
prediction <- predict(model, newdata=test_data)
#calculate missclassification
xtab <- table(prediction, test_data$classe)
confusionMatrix(xtab)</code></pre>
<pre><code>## Confusion Matrix and Statistics
##
##
## prediction A B C D E
## A 1527 476 471 426 132
## B 18 385 32 165 145
## C 124 278 523 373 298
## D 0 0 0 0 0
## E 5 0 0 0 507
##
## Overall Statistics
##
## Accuracy : 0.5
## 95% CI : (0.487, 0.513)
## No Information Rate : 0.284
## P-Value [Acc > NIR] : <2e-16
##
## Kappa : 0.347
## Mcnemar's Test P-Value : NA
##
## Statistics by Class:
##
## Class: A Class: B Class: C Class: D Class: E
## Sensitivity 0.912 0.3380 0.5097 0.000 0.4686
## Specificity 0.643 0.9241 0.7792 1.000 0.9990
## Pos Pred Value 0.504 0.5168 0.3277 NaN 0.9902
## Neg Pred Value 0.948 0.8533 0.8827 0.836 0.8930
## Prevalence 0.284 0.1935 0.1743 0.164 0.1839
## Detection Rate 0.259 0.0654 0.0889 0.000 0.0862
## Detection Prevalence 0.515 0.1266 0.2712 0.000 0.0870
## Balanced Accuracy 0.777 0.6311 0.6445 0.500 0.7338</code></pre>
</div>
<div id="making-second-model-with-random-forest" class="section level1">
<h1>Making second model with random forest</h1>
<p>The random forest model i used was basically with the standard settings of the program showing the most important variables of the model. You can See that the first 30 variables are the most important ones for the random forest model. The accuracy of the model is above 99% percent so this is a pretty accurate model.</p>
<p>For the future I could tweak the model a little bit further to exclude more variables to get an easier model with less variables included.</p>
<pre class="r"><code>library(caret)
library(rattle)
library(randomForest)</code></pre>
<pre><code>## Warning: package 'randomForest' was built under R version 3.1.1</code></pre>
<pre><code>## randomForest 4.6-10
## Type rfNews() to see new features/changes/bug fixes.</code></pre>
<pre class="r"><code>set.seed(10)
model <- randomForest(classe ~ ., importance = TRUE, data = training_data)
varImpPlot(model, scale=TRUE)</code></pre>
<p><img 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" title="plot of chunk model with random forest" alt="plot of chunk model with random forest" width="672" /></p>
<pre class="r"><code>plot(model, legend=TRUE)</code></pre>
<pre><code>## Warning: "legend" ist kein Grafikparameter
## Warning: "legend" ist kein Grafikparameter
## Warning: "legend" ist kein Grafikparameter
## Warning: "legend" ist kein Grafikparameter
## Warning: "legend" ist kein Grafikparameter
## Warning: "legend" ist kein Grafikparameter</code></pre>
<p><img 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IjKKaDhw5iGo9La4LD7nYAC68kpoMED6cc2ga4V0NQnDDy2nALaXEa58eH7ojmkBtRueGAoq4C2L8VUuNrFROphp4ACMZkF9HCzy9m1pnA1ESAov4BeRECB9Qjo5BSvTkUCggR0cgoBBcIEdHIKAQXCMg/oj8/XOhe+NYVtoECQgE5PIaBAkIBOTyGgQFDmAV1KQIH1COj0FAIKBAno5BT2wgNhAjo9iYACQfkF9MbnwgsoEJNZQN9udTWm9iSuqAwEZRXQH58H1wNddBCTgAJryimgwSvSL3pPOQEFVpRTQMPviTR8q+MRAgqsJ6eA3vRdOVuTCCgQlFFAb/u+8K1JTgG1Gx4YyCigx9HmcHX9/drnwntTJCBGQKcnEVAgKKOA3nEVXkCBgIwCesedSAIKBOQU0PBhTMNR6QgBBdaTU0CDB9IvOxXJXnhgPTkFtChm14fvi+YgoMB6sgpo+1JMN76YiIACA5kF9HCPy9m9uiQ9EJJfQC8ioMB6BHTGJAIKhAjojEkEFAgR0BnTCCgQIqAzpvGmSECIgM6YxgVBgRABnZ7mVUCBEAGdnkZAgSABnZ5GQIEgAZ0xjYACIQI6YxonwwMhAjpjGgEFQgR0xjQCCoQI6IxpXJIeCBHQGdMIKBAioDOmEVAgREBnTCOgQIiAzphGQIEQAZ0xjb3wQIiAzphGQIEQAZ0xjYACIQI6YxrbQIEQAZ0xjYACIQI6YxoBBUIEdMY03hgeCBHQOdOchqAAPQI6Z5rfv11QGRgQ0DnTCCgQIKBzphFQIEBA50wjoECAgM6Y6PS2nPbCA30COmei0whUQYEeAZ0zkYACAQI6ZyIBBQIEdM5EAgoE3CSg+z/+XmnmP/8qZ/W2O/rwfen0yQF1MjwwcIuA/vq2+/OfVea93+3OAX3flZaWWUCB9dwioD//2n1cZdb7ctRZ93PxIFRAgfXkNAL98Xl3LvExyMXQ8zjjhWNQAQXWc5NtoMcR49cV5rwvZ/O2q0e0xzl/WTILAQXWc5u98Mex4+Vj0ON482P5bzPs3C+bsb3wwHputA20K22n/HE2X8t/m2i+LZuZgALryTOgzT6pdwEF7iWjgB5X3b+U/94+oLaBAgM5nYm0L8O576zC32YbaMJkwKPLKaDv5VGfPz7XO/WrUelcAgqsJ6eAng77PI9Bmz1H+4VH0icH9DVhOuDB3Syg5YbQi86KPx1Jf15lL7t5OiNp0QBUQIEV3Sigrf1IlyT0XNCOheeIpu+F954eQN9tAtrZD7/8Gkot+24/l57glBjQg+OYgKGbBPS08bJs3Xu5Ep6uiXHCfC4JqIICXbc6F76O3Smma5wYn0ZAgfXc5oLK7Q2fq13cLoWAAuu50eXs2vvKFx773tdsBU3osIAC67nRqZztlfaFZ192vF22E15AgRVlFdDhUUxLZyWgwHpyWoU/78zvbk1duiteQIH15LQT6X2Qy8W79NMWtzwZXkCBjpwOY9oPV9iX1lhAgfVkdCB98MpLt7icnYACQXc4lTN1F1JvX1ThFhdUFlAgKKOLiQgosC0ZXc7uvqvwry8vAgp05HRB5bvuRBJQoO82hzFddBnlWvgwppErKg8Ou99dENCUCYGHdqMD6S+7gl0zn+GB9GNtXjOgKdMBj+1Gp3Kuc/2lwfsjL746s4AC68lpBHoYXJD+NhcTEVAg6FZnIq13DeXbX85OQIGg2+yF//F5tTHoZS4JqN3wQNeNtoF2rbNTPkVqQA+n3fAKCnQI6LypBBQYENB5kwkoMJDTmUgBPz7f4lx4G0GBEAGdN5mAAgM5ncoZIKDA/WR2IP2lBBRYT1ancl5OQIH1GIHOm6y4HJOAAi35ncp5EQEF1pPfqZx3OBdeQIGQzA6kf+vN6TZXY6qvJiKgQEtWAT0OZPsWzkpAgfXkFNDgFemXbRqwFx5YT05nIoXfE2nR7qkLA5o0MfCocgro3d6VU0CBkIwCer/3hS/2wntfTqAro4AeR5vD1fX3m50LL6BAzx0CGlgTn+WOAT0IKDB03YAGN1GmBvSOq/AHhzEBQ7cK6Puurl9qQO+4E6kKqIICLTkFNHwY03BUOuKygDoQFGjLKaDBA+mXzSs5oI6kBwZyCujwlKbd7sP3RXO4NKDW4YFGVgFtX4rpphcTOVRvyymgQCOzgB7uczk7AQUC8gvoRS4OqIICNQEN+/ff3nTVyfACClQENExAgUkCGiagwCQBDQsG9ERAgcrVAxoioMAjENCwQECLyzEJKFAR0DABBSZldEHlNVweUICKgIb1Alpfjmnl5wPkTEBnTiigQJ+AzpxQQIE+AZ05YXUYE0BFQGdOWAfUbnigJKAzJ2z2wisoUBDQmRMeR6BlQQUUKAjozAkFFOgT0LCR40AFFCgIaET/VKRiJ5IL2gENAY0IX45JQIGGgEYIKDBFQCMEFJgioBHhyzEJKNAQ0AgBBaYIaISAAlMENMI2UGCKgM6d0tVEgB4BnTulgAI9Ajp3ShcEBXoEdO6UAgr0COjcKZvLMQGcCejcKU8j0NdX74oE1AR07pQCCvQIaET4gqAOBAUaAhoRCeiZggInAhohoMCUfAP686/dl8UTCSiwHgGNEFBgioBG9AN6KPbCnz8UUOAko4Aeixnyx98L5nFhQMvjmAQUOBHQiFhATwcyCShwklFAD+/3D+jhIKBAJaeAnsegf/7TfHLNbaDDScuCCihQyiqgh8N+t/vwvfhQQIE7yyyghx+fd2U3BRS4s9wCevj1rVyNF1DgzrIL6OHwttvtvt4poPbCA40MA3pejf94z4ACnOQY0PNq/B//904BBShlGdBiNX5321M5vSkS0JNpQM+r8dcdgY5dTQTgkG9Az4eE3jSgBwEFuvINaJKVAmo3PHAQ0Lixk+EVFDjkGNB9fRmRj8snvjig5XFMAgpkF9C33qWYljb0koC2DwQVUCCzgJ53vV9wMbt1AnoioEBeAT0dP98u5vkKy/Xl7Wa5OKAlAQXyCuj7IJenpH5dMotLFldAga6cArofrrAfB6GLNoNetLgCCnRkFNDjcHN45PzbsnV4AQXWk1FAj6PN4er6+7XeEymguSCogAIHAV3C+3ICHRkFdBur8AIKVDIK6DZ2IgkoUMkpoOHDmEYuyTQ47H53yXGg3hke6MopoMED6cc2gQoocE05BbQoZlf1LvEzXRjQYmrvigScZRXQ9qWYbn8xkc5xTAC5BfRwx8vZCSjQlV9AL7JCQKs35rQZFJ6egMZMBVRB4ekJaMy/kd3wAgqUBDQqfhxTSUHhyWUe0B+fb3guvIACHQK6QPt9OQ8CCk9PQJfoHsckoPDkMg/oUgIKrEdAl7AbHmgR0CW6AVVQeHICuoSAAi35BfRW58IfAkeCOo4JaMksoG+3uxrTQUCBcVkF9MfnwfVAFx3EtFpA7YYHDnkFNHhF+kXvKbfaCLQoqIDCc8spoOH3RBq+1fGICwPaH4ICTy2ngN78XTnDAT3thRdQIKuA3v594eMXtBNQIKuAHkebw9X192ueCy+gwBgBHWEbKDAmo4DefhU+oHM5EXvh4bllFNDb70QKcD0moJZTQMOHMQ1HpSPWCmhJQOGp5RTQ4IH0y05FElBgPTkFtChm14fvi+awSkBdjgk4yyqg7Usx3eJiIiHHggoocJZZQA83vZxdiIAClfwCepGFizs8ELTcCFodB6qg8MwEdFTsUHoBBQR0Qiigp4QKKCCgE2IBrQgoPDMBHRXYCLrb/f5tLxJwENApw4KeA+qt4QEBnTIRUAWFZyag48IBbT4TUHhiAjouFlAXBAUENGEe5xGoggICunweAgqcCejyeQgocCagy+fRCai9SPC8BHT5PLojUAWFpyWgy+choMCZgC4noMCZgI4LnAx/6B0IqqDwrAR0QuhyIt5ZDjgR0AkCCsQI6IR4QF2SCZ6dgE4QUCBGQCfMCKiCwpMS0AnRgLbO5RRQeE4COiF0HNPgZHgFhackoBMEFIgR0ATdw5gOAgpPSkATDAIKPCUBTVAGtNkNDzwlAU1QBdRFleG5CWjKXIqCvggoPDcBTZlLtRFUQeGpCWjKXIYBtR8enpCATggdB3oIBVRB4ekI6JTokfQHp3PCkxPQKTMDqqDwfAR0SvRNPQ4CCk8us4D++Lzb7f78p/7817fdH38vmH7lgLaPpRdQeDp5BXS/K3ysbrhTQA+BgCooPJ2sAlr1sxmE3jugbQIKzyangJ7W378e/31rCrqFgFYbQgUUnk1OAd3vPnw/f3DMZlnQbQS0KKiAwrPJKKDHWNbbPvdlQW8Q0KA6oC9nxccKCk8mo4D+/Ou8Al8oC3qvgHaOBBVQeFK5BvRU0I8CCtxTtgE9bQf9cr+A7loXVRZQeFIZBbS9DbT4dPf1bgE9BAIKPJmMAno6fKk1BD0d1fThv+4W0J03RoKnl1NAT8eBfml9/n4+pl5AgTvJKaDnI+jbq/Hvtwho8DjQg7fmBPIK6Lmg7THoaUx69RFopKACCk8vr4Ce9hx96dzwtqWA2g0PzyWzgF5q1YCe59V5c3gFhacioJPmBNTp8PCM8gtoc027j9N37rtyQBUUnkpmAX3bdS1t6IoBdUk7eHpZBfT8hh5di3YhrR3Q4cwEFJ5JTgE9nbzZLubPv7pvkDTDtQOqoPBMcgro+yCX5/Phl8xizcWNBVRD4VnkFND9cIX9OAhdtBn0FgFVUHgWGQV0cBD9yduydfiVA1rMrf/WnAIKTyKjgHavB1p6v9fFRHoBrS9pZx0enoeAJuuOQNsHMikoPIeMArrZVfjDqaECCs8no4BubSdSt6ACCs8np4CGD2Majkprg8Pud2seBxoO6JmCwlPIKaDBA+nHNoGuE9CxI+mb2QkoPJ+cAloUs+vD90VzuFFAi4LKKDy4rALavhTT7S4mMm8dfhjQTwIKDy6zgB7ucDm7eQHtKtqpoPDY8gvoRW4VUOvw8AwEdNq8gHbe20NA4RkI6LRoQDvXExFQeDoCOm00oPUMjwHt7kgSUHh0mQf0x+f7nQt/GGwE7QdUQeGxCeglRvYinVUBdUQTPCQBvcTv3+NzrE6M/6Sg8IgyD+hSdwnoJ9cIhcckoJc4B3RkluW+eFdogsckoBfpFLRzYeWz1glJRqHweAT0IseAHnpHMvX3xDdsCIUHk19Ab38u/OiBoO2ZDoegbfYkwaPJLKBv97ga0+jJnIOZjgxBrcTDY8kqoD8+D64HuuggpisFtDvX8YAqKDyQnAIavCL9oveUS17c+DWVh3M1BIVnkVNAw++JNHyr4xHXCej8IWhxVGigosamkKGcAnrHd+WMB7Q7BD3tRloc0PMRTgIK+ckooPd8X/iRjaDDgi7lXCXIVEYBPY42h6vr77c5F37iQKbmaPqUgB6ST1USXbgrAZ0lHtDgfqS52gFMiKEVf7ivjAJ6z1X4EaH9SHMMVtuba99NTNeag4DCPWUU0HvuRBqxeEf8Sbnf6FPvtvLfsSo2X51c8ZdXuLKcAho+jGk4Kh1xvYAuLuinfuBmBbTXz7GAGqDCteUU0OCB9MtORbpNQF9fi4C+vkZ3Ko20Lfyl6sJOTWWn1vSrUW7rjp/GH7m6C3Pc9K/T5I/7Rs+DnpwCWhSz68P3RXO4QkCHBX2tqjka0NjsIl/51I3frH52Djsth7wT5b1g0Ppkw92bDu+n1iasa9xLVgFtX4rpphcTGRVchz9LPKap/0H1afyX6FPHxH3iD9y9w6f6P+0buncPTD+4Y07qvztjd+j8LZv8to48WGemw4fpfDrW0MmfPVeTWUAPd7mc3bgqoKvMvPklaKesHkzGJ5r+Jfo03Ozamn3dv1YZuiObWC4HN2X7ezy2AJ1v0qdhP5cvc+cn3Z2+f0PrnQ0Cca+ekIDeQX4BvUjy4o4eCDrvSKZZ49H2L8E1BxbD5A62DgyaHP7VHfyu3+j3eIXH6U/e/0MV+ya1vyVzt6n0nvjg+zr8VrZfCJHJAycFP6LhAo99E25LQGcaOxcpvhLf9jqzoO2Pr/YKGXsBdsbAw4CGnmF3zrGHXOepdx55MN8FjxLpz4zf0tZdJh94+CD1HINhHE44fPBttONGAj+GT4Hb7kRAZxoZggaPBW0OZKq7mbRJdEt6Q9WkqefePH+WkbYtf0bX+U2MDCQXTPkUmYzb9uIL6ExzAtoraGtn/GO48A9+b8DV+yA08+EQLfSM2pNHP58ayaQuVOgJrfQg0S0nC55K82HaTO5p0d/r9o699ix634X+z90Vh4oAABXMSURBVCJ+28wnKaAzJQS0GoSOHM3Ut+3WrhjQVl46827vwuk+WPPg/Rs7k4d+MYa3XCug4w+yfGZpz6H1sP0PM7LoKX+qtjbFtzBNvAD6t818YAGdaVZA2/N/ab9BZzyM3a+Un206o7N9qkcFoV/kcFa6ERzsrkkpUYbtKKU987FvbOfmDX1j2j/0tD84VT3TMphOQGdaHNBDcDtoo2rla+i2wNfyMxgVdF/U4Zd4++uH4Ug15bdiO51YKnUIGvnGdm+vPtnAtyc8JFw8j0Pz8rlVPwV0rtGAttbh2w8wekZ8UcfTf4edrL6Wd0AHo4L6xpkTX+t5Uf4YOplJ/BP1qSP1tnUW6g4EdKapgM67KNM5if0uBm8c3JRjTbujgs6N8yblSurRZydm1S3LNj4Owrj8thWX7MYEdBW/R46m72Q0FMtYQFtf7Q1Hc4wpW9eP2afBjaFR5JMT0FW0A9p/jPbOpIlYBoXuraCsr9fPYvffxCjy2QnoKk75HCnoRfMWUO5CJmcQ0FWc4tnaFT/vUZbvJNJSbkg/pwnoepYWNGEv+/Cgp+x31UPGBHQ9dUBjBX25cGW+G1DphHsT0BVNFPTl8oCePcZh9vAABHS+8UNBD+2AHopLPjdfenlZK58zDhkFbkNAF7igoCv2c2RXUu/6Twuz+nBXj4JrE9AFlgS0eLSLHm6Jzg6ltHPp+1MDUwR0iamC9gI6WJFno/zJII2ALrF0CLqFgqZeEH+D49CrPSWDbhIJ6BL/Lh2CFo/ZftDhltDVto2GJa6Zb6QpvQNfr7WVtjNjRzkwm4AuMlXQ35GCNhHt7EsqPr56Qdv/HIafjO7Xn87IVVIbrv61t9K+tgK6kb8gbJuALjM9BA00tCro+cFvHtCuTh2mg/Qa7O5r/C7rGMwz9dCt2HxGJhZO5hPQlQULerjgwNB169rZQT9jb31wFfqKg7PIMwo94pwn0V/pd6QB6xLQ9QUD2ivoSx3QiZ1M6x0+eonwKv9FFeqPBVNXnCMT9Nf959xr8uuyS4+AXkG4oIdgLCd20weGqWsekz9XsBwXDeOGx6ymRTnyJMIbT2dOHJswtkV26jnyuAT0CsIr8cXjN8HclTfUT+qUxV4am1S2PrhDQCd1z4SacdfrPIHV5x6MZPfGTW4OCI/vo0PqC797ve/S6Fy2e75b0jMT0GuIBrQq6K79UfWsXl52/YI2n1XR3GA8T4IBHRx21D5KaO3Hv2bN+rvS5lVobPU/PKKf9VTm/Bsf3wfbP/juzfy3O9nkXEYfcnjX+Vb5oae9hAT0KuIFLZ5F4/z5KYq74393p/+0d9a3alndsMl+dtSZnPhleTCRpR3/rBvm9j/hW6fLOK/C4/ea+yjjs5n1nMb/Ns1zz9eVgC43eT7S2Ep89Tw6z6Ro59lp/bz8YHcelO7ad99VN6Q87xtpH0z51MKRfA18LRyR8vsYmEueZq3Zdz+b+2/aVGtsTRDQBDMLOhHRtrKL50KWBT39t+lqd7W/zu/usL2Y6mfX9Drq2OkCs8Z6WVgwEE0bb88fN6+4YiSgCSbP6DyUx4MuKWj74+KTIpTddh66H71UX60mjKzgR1f8g194ae+oeunc3J1q+5sT4KoENMWMgEaPqA/rhCycu85qf7XB9KX6YFd1r7lXM1INhTW+TfWlHdCX7u7/zm05bJCFaxLQJHMKepjal9SxtEXlKn6ZzJdqhf+lu9Z/DmuT0pfBTqnuaDP0VFr3Czzpl97dAlFdNbMvged7n0Nj4SCgiWYHdHZBFwegO4IsulncvKs2nh4GOT3dvXmkXTmHGfXp3mfXmrj+en2/waGsw8wu1s196CHis9ZWria/gO7rHnxcPvFqi7t+QVfVWu/ubjptreW390Y1A9aQcl6hr5zDVc6jfsgiZp1jWOsANjcMNqi2K9h80Pq8eoTq0TpbEkY287aG3ZH7NEvYmv1gRuMTpxpcXIaMZBbQt94v8NKG3jqgdytopT8y66/jd8S/dgjmMzBN6zE7mwt623hbBd31BpfVJ4fmg90h+MRao+/o8u86fxX6CxhcrO6NTfnLp7K2zvhcQHOTVUB/fB682v/4e9Ecbn91+ImCLtvVlCD8S1nHrmrF2Cw6dQx/JZi3qkXVXctp6ilDVQxtdIgXP/Kw5XMdzLmeV3Wnl/aN5w3Gg1vrf4ZTV0936Y+kMtgVt6u/0Bmhd25Me4zgVyZ2H644Hl71L0N3jWXmk42u8Vy6sDkF9Ne3XaeYP/86fv7nP0tmcYe31xgL5O+FBzslWOWlWyVp3h2rY6+SdHL5cj7KoN4KMefh2pFr1637yxLaotqMiNvj4+5TqaNZ39ire/XExr5vrTnuejOs59p/Wv2qD+bWffzWUkd+UqEaB78fK7yCUso/NrNmpoMnW92n/c+h89OPTj/2fYzLKaDvg1yekvp1ySzuENCqkr+HtSw/vfNa/vV06jb+m762tPFaymN0lqtp3IjBXcYnas6rGM6hk9XuwHrwCO0bz9s9AlN2nRaymbZa6M43uNx6Mjqqe6m2fxSfdJ9ReK6dWwfPPqj3tPrfptFpQ9+omS+CnAK6H66wHwehizaD3iOg0YJWHy8J6MPGdm236WfoQdu/q4fA/rnwdMP5h/pQfam7YaE3imo/i0P3fsNazAhMqEndOU7d2ix/2vThgPa+Q+271p/OWLxmfq1h6SMG9Djc/DK48W3ZOvy6izt3T1Jbq6F1DIsP5qzML1zhV9vbGkv28ACDezyLQtWLGfe6ZHNMLFPt2S+aZPLJLppkFRkF9DjaHK6uvy/bjbR2QC8paJPC00eztoYu3GJ670MAnkZ0a2FrhHizs7emHsCu/jUJ6CVSAnpo1ulbNxx6W0PDqaxKOznzkXmwupdBQF/q0xxaq9jVLVd/NhNfFtAVZRTQ7a3CX1jQ7ufFv507DOpXD1WnZl3U+Lcx6J2o1LPIKKBb3InUWYlPi+lZZ9DYLmD55eI/zcbT0OC0O2VnHsM5XiazKt/gaDGeVE4BDR/GNByVjlh9cZuC/pu0RbTUSmPrl/33QH333vC1f5eReYw9izlPdMaMrpmrhXMefgsnXOlp86ByCmjwQPplpyKtv7jrBDQi+tvdPRhq9De/+mLxb7e8rfscZrVpVmtmpyihVwsj134qCsr6cgpoUcyuD98XzeG6xzesX9Co5F/51gSdj/pzC2x/7Tc88sCtXk88w5lJ6wVusn/9f5d+ey6x0mza87qq/nkdc5bqFs8rG1kFtH0ppsLdLiYS1B2EXmFE2kj+PWsmOX9Q7fz/XX7W3szamffwwSKP/Ds04IvcMyE0/TkP79D5d9k3Z3Lms57fSv28Ral+d/8izlyq6z+vfGQW0MNWLmcX1mrmv3VNbzcsnan5RSh/HYbr9a3flfivTeerY7/3gS9e6zexmu2dftHXbMxY0K5j3lLNnGh6qS755hy2cpRzfgG9yM1OUWgGo//+e42toxepX8DFP8Nx5e9y/NkeI4ZmM6+fgYKu8hsUW7bOvze2Ths687qqBXsFY9sn0pcp/VtzzVfQMgJ6Ff2h6LYC2tF/HQ5+V+ZPOvPRNvLSZw3Lk5085WBOF89hdO7z5BfQLa/CVzr9vMkjpuu/VjqvnvEX0vyXWW/2+vk40rt0eeAum8P0/GfILKCbuSL9uFY14wEdjEv/Hf/y+ANuepQLDyqrgOZ4Rfq+3rbR7oH4//Y2nYamC89z6xsK4CHlFNA8r0jfGGRuLKCHbkOnvnhoJ/YmJdVsyCqgmV6RvrK8OIPjSqsDo8ZHnMMvjpR44vkMqt2bTTTw8AxyCugGLyZyH5Opio9WA+GbP6P4dDYi8JwyCugWL2e3YZ3x6tidxr8c/WzywfvpHfv80Pur0N+9tnB2l37efzbTz76//PEvcVNjP4nlP9ehjAK6wQsqb1r5Shh9RRy/NPIKGiRlwUP3ZzT6eeCBl0x+rc/T7t7/qzTxbTNqX2b4zQ7doXvn8Ots8lU5h4BSG30FLXxhLX/gwDO52gMuezYz7j4/v72vT3x56m/Ls33e/3Yt+271p15BRgG1Ck+WJn6J5xUivg372T4PfnsDH99GRgG1EwnYlpwCuviK9IPD7ncCCqwnp4AuviK9gALXlFNAN39FeuC5ZBXQrV+RHngumQX0kMfl7ICnkF9ALyKgwHoEFCCRgAIkElCARJkH9Mdn58ID9yKgAIkEFCBR5gFdSkCB9QgoQCIBBUgkoACJ8guoc+GBjcgsoG+uxgRsRlYB/fF5cD3QRQcxCSiwppwCGrwi/aL3lBNQYEU5BTT8nkjDtzoeMRjBAlxgzcSdbPxdOQHWs17gCpt+X/iZHmpN38Js1UMtzGMtzR0X5moBPY42h6vr70t3I83itbBVFmazHmppBPQiXgtbZWE266GW5hEDahU+jYXZqodamMdamkcM6Bo7kWbyWtgqC7NZD7U0DxnQ8GFMw1Hp5bwWtsrCbNZDLc1DBjR4IP01NoF6LWyWhdmsh1qahwxoUcyuD9+v8UBeC1tlYTbroZbmMQPavhRT4RobQA9eC9tlYTbroZbmUQN6uPBydjN5LWyVhdmsh1qaBw7oLXgtbJWF2ayHWhoBvYjXwlZZmM16qKUR0It4LWyVhdmsh1oaAb2I18JWWZjNeqilEdCLeC1slYXZrIdaGgG9iNfCVlmYzXqopRHQi3gtbJWF2ayHWhoBvYjXwlZZmM16qKUR0It4LWyVhdmsh1oaAQXIj4ACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgETZB/TnX7ujL/d+Gql+/vXH3+3P+guTzeL9+Hx6oh++N7dkvzDjTz2bhSkcF+lr/Um2S/Pr265WLc59Fyb3gO7L72b7NzcjxxdEK6DDhcll8YqX7Em9OPkuTPNbWicn34UpnX5AD7A0zeusXpw7L0zmAX2rv53tgVw+9u0nPlyYXBav/boun2m+CxMY5eS7MJV9689Bxkvz3vxoysW598LkHdDTqtaf/xTf14/3fjLLnX9V65/ycGGyWbzTa/a8xrSvnukDLMzpr8LpCWe9MKX31l+DnJfmrTWOPrv7wuQd0H3ru7b1tY+hYktbe523tzC5LF5r/fCtXKB8F+b4V618esfFij31XBamVKwhNOu82S7Nvj+qvPvCZB3Q4+uiNW7f/BbwrvOL+n8220CHC5PN4r03f+tPg+qvWS/M8feuWphyvJPxwhROW9r/dxXQnJfmuCDFOkHl/guTdUBbr/Xjh91v7ead1hS/tnYiDRcmm8Vrv1L351/UjBempViW/Bfm9IegXvnNeWmOdeyuld9/YbIOaOsXt7s7Owdvpx9062kPFybLxduf15seYmGqwUzuC3MMyZdm62HOS3Nc1fl6XnOr1s3vvzC5B7TapNxsucpKN6C9hclx8Y4v79Nf/UdYmLdqs2HmC1Os97YDmu3SvO0+/Ge5h70YW95/YbIO6L5zbNuWf/IxrYAOFybHxSsHANkvzL51pEzmC7PvhiXnpamO8KwLev+FyTyg7aNnt/yTj+kEtL8wGS5etdkp+4XpBjTnhXkv/qS9PcDSnPZQFk/vfVf9ob73wjxQQHtHiGUhGtDTwuS3eMd+FouT+8JUB9MH/hpktjDlNpVYQLNamvq4svqVdv+FeaCAbvhPZ9RjjUDf66NaH2BhigPNTnt0s16Y6sjJRxiBtoVyaQS6UJY/+Y6HCmjTzwdYmJNyxJPzwgz3HeW8NC3Fxvb7L0zWAc1n92HMI+2F3++aw+6yX5hC8Vua8cI0R0U+xF74lveN/GiyDuh7NgewxbSe9nBhslq801bD5iDnzBemUjzpjBfmbdeV99K0beVHk3VA8zmFIuYxzkQ6FOf1f+l8mvHC1IrfxowXJhDQjJem7W0jZ7xlHdB8TuKNaQX0/qf1XqB/4YaMF2Z4XmreC9MPaN5L0xpdnl5w91+YrAOa0WVkItprGXe/sEy61vElpXwXpj4Uq/kw34VpNNsG812a1o+mun7N3Rcm74DmcyHDiHZA735pw2TlJZja8l6Y+sifYgiT78I0moDmuzSdH00Rx7svTN4BzedS2hGd7dz3vrh2svZ1wlsnkOe5MOVlWgvNLuxMF6bW2jud79K0fzTl2vm9FybzgNZnx255zWPEQ7wnUvs9MOqA5rowh/YblNQjmHwXptK+lnu+S9MUdCsLk3tAc3k7wYjekRZ5vlti+x2RWq/tPBfmrPg9be/CzXhhCp03w8h4ad67f9kO916Y7AMKcC8CCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkElBz8/D/3fgYQIKBkYL/7cu+nAAECyva97wSUTRJQtk9A2SgBZfsElI0SULZPQNkoAWXrjvk8+3ramfTnP6dPP3xvvvC1f8+vvc8/3vwZ8zQElK3rBvS/d2VAf3wub//j7+J+/Rvqzw1fuRYBZes6Af0fn8tBZZPHMpj9G37+VX/eHqXCigSU7au3ge6PMfzzn9NHv76VK/Lv5Ur64Ia3MqSnLxTTwNoElO1rB7Rs4Xv90XGkeQrn4IZ9NfA8FrRay4d1CSjb1w5ouT1zX+5Iqr86uOHNwJOrE1C2rx3QYlR5HGXWdfzx+bjKPrih2nRq8ydXJKBsXyug5TCzvYfovF10cEOxwdROeK5KQNm+YUBbu9yLXg5uOJxX4iWUqxJQti8Y0O4GzsENZ/W4VEG5CgFl+4Kr8N0964Mb2l+xO4krEVC2bxjQ08Gdnd1DoRuqosbjCpcRULZvGND6MPlD66il7g3NIU8CyrUIKNtXHyTfBPS8Yv61uO184+CG6oyk81dcUISrEFC2r9jF/rV/tHx3J/vghn3zuQEo1yGgbN9pA2f/dKPhxZb6NxRTnTQTwaoElAycW/ixG9DqOM+P8RvKo5icjMS1CChAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAov8PsDipUavHlmQAAAAASUVORK5CYII=" title="plot of chunk model with random forest" alt="plot of chunk model with random forest" width="672" /></p>
<pre class="r"><code>#prediction
prediction <- predict(model, newdata=test_data)
#calculate missclassification
xtab <- table(prediction, test_data$classe)
confusionMatrix(xtab)</code></pre>
<pre><code>## Confusion Matrix and Statistics
##
##
## prediction A B C D E
## A 1674 5 0 0 0
## B 0 1131 9 0 0
## C 0 3 1017 6 0
## D 0 0 0 957 1
## E 0 0 0 1 1081
##
## Overall Statistics
##
## Accuracy : 0.996
## 95% CI : (0.994, 0.997)
## No Information Rate : 0.284
## P-Value [Acc > NIR] : <2e-16
##
## Kappa : 0.995
## Mcnemar's Test P-Value : NA
##
## Statistics by Class:
##
## Class: A Class: B Class: C Class: D Class: E
## Sensitivity 1.000 0.993 0.991 0.993 0.999
## Specificity 0.999 0.998 0.998 1.000 1.000
## Pos Pred Value 0.997 0.992 0.991 0.999 0.999
## Neg Pred Value 1.000 0.998 0.998 0.999 1.000
## Prevalence 0.284 0.194 0.174 0.164 0.184
## Detection Rate 0.284 0.192 0.173 0.163 0.184
## Detection Prevalence 0.285 0.194 0.174 0.163 0.184
## Balanced Accuracy 0.999 0.996 0.995 0.996 0.999</code></pre>
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