knitr::opts_chunk$set(echo = TRUE)
library(AppliedPredictiveModeling)
## Warning: package 'AppliedPredictiveModeling' was built under R version 4.4.2
library(caret)
## Warning: package 'caret' was built under R version 4.4.2
## Loading required package: ggplot2
## Loading required package: lattice
library(ElemStatLearn)
library(pgmm)
library(rpart)
library(gbm)
## Warning: package 'gbm' was built under R version 4.4.2
## Loaded gbm 2.2.2
## This version of gbm is no longer under development. Consider transitioning to gbm3, https://github.com/gbm-developers/gbm3
library(lubridate)
##
## Attaching package: 'lubridate'
## The following objects are masked from 'package:base':
##
## date, intersect, setdiff, union
library(forecast)
## Warning: package 'forecast' was built under R version 4.4.2
## Registered S3 method overwritten by 'quantmod':
## method from
## as.zoo.data.frame zoo
library(e1071)
library(elasticnet)
## Loading required package: lars
## Loaded lars 1.3
library(randomForest)
## Warning: package 'randomForest' was built under R version 4.4.2
## randomForest 4.7-1.2
## Type rfNews() to see new features/changes/bug fixes.
##
## Attaching package: 'randomForest'
## The following object is masked from 'package:ggplot2':
##
## margin
library(ggplot2)
library(stringr)
library(purrr)
##
## Attaching package: 'purrr'
## The following object is masked from 'package:caret':
##
## lift
Set Working Directory and get data from source: “https://web.archive.org/web/20161224072740/http:/groupware.les.inf.puc-rio.br/har”
setwd("C:/Users/ara00007/Documents/Cert")
training <- read.csv(file = "C:/Users/ara00007/Documents/Cert/pml-training.csv", header = TRUE, sep = ",")
testing <- read.csv(file = "C:/Users/ara00007/Documents/Cert/pml-testing.csv", header = TRUE, sep = ",")
With 160 variables, PCA would be a better option to predict how well the exercises were completed, divided into 5 classes:
Data and study cited: Ugulino, W.; Cardador, D.; Vega, K.; Velloso, E.; Milidiu, R.; Fuks, H. Wearable Computing: Accelerometers’ Data Classification of Body Postures and Movements. Proceedings of 21st Brazilian Symposium on Artificial Intelligence. Advances in Artificial Intelligence - SBIA 2012. In: Lecture Notes in Computer Science. , pp. 52-61. Curitiba, PR: Springer Berlin / Heidelberg, 2012. ISBN 978-3-642-34458-9. DOI: 10.1007/978-3-642-34459-6_6. Cited by 2 (Google Scholar)
Preprocessing, there are many variables with only 1 level, and even more without any entries.The ‘nzv’ command does not remove the variables with more than 10% missing or NA values. A function to drop all columns with corrupted data, missing values and NA’s may help create a cleaner data set.
There are still many columns with missing, corrupt or NA values, choosing variables so that the models can be run on the data:
Cross-validation on the cleaned training set, to evaluate the accuracy of the out of sample error (in the test data set).
Step one is dividing the training set into training and test sets Step two is setting the number of K-folds Step three is running a model on the training data set, using the number of K-folds selected in step one Step four is running the model on the “training-testing” dataset
as.data.frame(train_subs)
## roll_arm pitch_arm yaw_arm roll_belt pitch_belt yaw_belt roll_dumbbell
## 24 -129.00 20.70 -161.00 1.51 8.10 -94.40 13.0
## 52 -130.00 19.40 -162.00 1.27 7.56 -94.10 13.2
## 76 -131.00 18.10 -162.00 1.18 7.26 -94.10 12.9
## 165 -135.00 13.80 -165.00 1.01 7.38 -93.80 118.1
## 210 -8.60 15.40 10.00 129.00 27.90 2.35 -28.8
## 241 -1.12 -3.96 -63.30 128.00 27.80 1.52 -24.1
## 314 -160.00 -69.00 32.60 124.00 27.60 -2.03 -3.4
## 401 148.00 -12.70 31.10 125.00 26.00 -2.08 -8.7
## 463 132.00 20.40 -11.10 124.00 25.50 -2.12 1.2
## 476 146.00 -2.52 74.20 123.00 26.30 -3.45 -4.2
## 506 132.00 13.30 69.30 123.00 26.00 -3.07 -11.8
## 532 152.00 33.30 99.30 124.00 26.00 -2.40 -36.1
## 552 80.80 55.10 -2.18 123.00 26.10 -3.09 3.5
## 581 -176.00 38.70 141.00 122.00 25.90 -3.98 -10.8
## 598 23.60 54.30 -25.90 123.00 25.70 -3.98 1.3
## 645 -39.00 17.20 -44.20 123.00 26.10 -3.45 -10.0
## 749 -91.30 35.70 103.00 129.00 -40.20 168.00 41.8
## 772 -63.40 15.00 104.00 130.00 -39.60 165.00 47.4
## 832 51.30 37.40 120.00 129.00 -40.40 163.00 40.4
## 872 -175.00 72.70 154.00 130.00 -39.60 161.00 36.3
## 893 -110.00 54.50 -169.00 129.00 -39.60 161.00 39.6
## 925 -84.40 -5.39 -12.20 117.00 17.60 -3.67 -3.7
## 947 -75.90 23.20 -149.00 126.00 -42.50 166.00 40.9
## 969 -42.90 5.66 -128.00 126.00 -41.30 164.00 44.0
## 1034 27.50 18.50 -142.00 125.00 -44.50 170.00 42.2
## 1076 104.00 68.70 143.00 131.00 -42.30 162.00 39.8
## 1132 -87.70 42.00 -138.00 124.00 -41.70 163.00 34.2
## 1253 6.68 73.30 -36.10 121.00 -43.50 172.00 56.7
## 1276 -81.10 66.40 -153.00 121.00 -43.80 173.00 57.7
## 1318 -96.60 79.80 -175.00 120.00 -44.00 174.00 48.8
## 1340 -11.90 14.10 -74.10 121.00 -43.70 173.00 50.8
## 1435 -11.80 -22.10 -43.80 121.00 -44.00 174.00 59.7
## 1458 8.87 12.40 -36.00 121.00 -43.90 174.00 58.9
## 1532 5.50 51.50 -68.80 121.00 -44.00 173.00 56.9
## 1586 35.10 41.90 -7.48 121.00 -43.70 172.00 53.2
## 1620 41.30 -19.40 -10.30 122.00 -43.30 172.00 54.3
## 1641 77.00 42.90 91.10 1.47 5.59 -87.80 11.9
## 1668 75.10 43.00 88.50 1.24 5.51 -87.80 11.9
## 1772 73.40 44.70 87.30 0.99 4.12 -87.60 103.0
## 1825 72.60 -51.30 -19.10 1.27 4.65 -87.80 101.8
## 1882 69.30 -40.80 17.40 1.00 4.79 -87.60 72.6
## 1908 95.10 -47.90 -19.20 1.72 4.24 -87.30 106.5
## 1958 85.40 15.60 101.00 1.88 3.50 -87.60 -72.5
## 1979 69.20 -18.90 66.50 1.45 4.44 -87.80 -36.6
## 2008 77.20 -21.50 46.90 0.77 3.34 -87.80 42.1
## 2064 122.00 -35.30 -43.60 0.90 3.61 -88.30 61.5
## 2144 80.10 10.30 110.00 1.95 2.83 -88.80 -105.5
## 2166 128.00 -35.50 -46.20 1.96 4.19 -88.90 48.1
## 2210 119.00 -39.50 -28.20 1.05 1.17 -88.90 -121.7
## 2231 0.00 0.00 0.00 0.53 5.42 -88.00 46.8
## 2255 0.00 0.00 0.00 0.74 5.37 -87.90 47.4
## 2282 0.00 0.00 0.00 0.71 4.69 -87.90 47.2
## 2314 0.00 0.00 0.00 0.98 4.94 -87.80 46.8
## 2422 0.00 0.00 0.00 0.38 5.68 -88.30 45.6
## 2449 0.00 0.00 0.00 0.71 4.91 -88.00 54.4
## 2478 0.00 0.00 0.00 0.48 5.08 -88.00 60.1
## 2505 0.00 0.00 0.00 0.43 5.03 -88.10 55.9
## 2574 0.00 0.00 0.00 0.65 5.19 -88.00 57.9
## 2675 -139.00 8.58 -168.00 1.83 7.27 -94.00 94.7
## 2835 -144.00 1.66 -174.00 1.43 6.25 -93.70 81.1
## 2908 -158.00 56.80 -161.00 1.61 7.85 -93.70 42.1
## 2954 75.70 62.80 58.50 1.25 6.70 -93.70 91.5
## 2981 129.00 68.00 108.00 1.08 8.15 -93.70 40.5
## 3008 55.30 -48.00 -10.10 1.38 7.01 -93.70 33.0
## 3105 88.50 -48.40 21.10 1.74 7.36 -93.30 -108.3
## 3133 66.20 1.83 76.50 1.22 6.67 -92.80 27.4
## 3330 0.00 0.00 0.00 0.47 4.65 -88.10 57.1
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## 3675 0.00 0.00 0.00 0.72 3.47 -87.90 54.5
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## 3878 0.00 0.00 0.00 -0.02 3.67 -89.20 55.3
## 3925 0.00 0.00 0.00 1.13 5.28 -88.50 59.1
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## 3971 0.00 0.00 0.00 0.50 4.74 -88.20 71.3
## 4075 29.70 75.20 -29.60 121.00 -43.60 172.00 60.1
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## 4156 29.20 30.50 -131.00 123.00 -42.70 167.00 56.7
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## 4811 -40.00 -37.60 -0.75 118.00 16.00 0.96 0.0
## 4858 -38.20 34.60 -98.00 119.00 15.90 0.78 -60.8
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## 5033 34.10 40.40 -4.45 122.00 -44.50 173.00 51.0
## 5065 -38.40 -37.10 -16.10 120.00 16.00 1.25 72.0
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## 5265 122.00 -37.50 -55.00 1.30 3.20 -87.70 86.7
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## 5389 84.10 45.10 96.30 1.39 5.31 -87.60 13.5
## 5413 63.20 26.70 69.70 1.32 6.08 -87.60 13.7
## 5437 52.10 24.50 45.40 1.20 5.87 -87.50 13.4
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## 5639 -133.00 -20.60 33.30 124.00 26.40 -0.85 -22.0
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## 5739 138.00 -54.50 73.40 122.00 27.30 -6.13 -69.5
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## 9127 140.00 6.44 111.00 121.00 27.40 -7.98 -95.1
## 9182 83.30 -38.50 30.00 1.22 4.68 -90.80 -29.8
## 9207 152.00 -33.00 -83.70 1.78 7.13 -92.30 38.0
## 9252 77.50 13.00 108.00 1.18 6.34 -92.90 97.4
## 9276 145.00 -39.60 -59.30 1.59 6.04 -92.80 104.3
## 9352 133.00 -54.00 -41.40 1.30 7.17 -92.70 111.4
## 9392 131.00 30.00 73.00 123.00 25.70 -2.90 -100.2
## 9463 122.00 49.90 101.00 122.00 25.90 -4.29 -78.8
## 9535 2.70 1.37 -41.50 123.00 25.80 -3.08 -8.4
## 9608 25.90 0.04 -153.00 121.00 25.80 -6.24 5.0
## 9651 67.80 -7.56 136.00 122.00 25.00 -5.85 -2.0
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## 9732 99.30 10.30 109.00 121.00 25.40 -5.97 2.2
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## 10209 80.10 -22.10 56.90 1.14 5.46 -91.60 -129.3
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## 12429 -35.10 -0.22 -46.20 121.00 14.00 3.30 -104.5
## 12447 -53.10 28.40 -113.00 120.00 14.20 2.76 -109.6
## 12470 -92.20 -19.10 55.40 119.00 14.10 2.28 -101.2
## 12496 -34.70 7.08 -75.30 117.00 14.50 -2.03 -113.0
## 12557 0.00 0.00 0.00 0.84 4.98 -88.10 56.0
## 12630 94.10 7.19 116.00 1.48 4.14 -88.60 -101.5
## 12651 128.00 -48.10 39.60 121.00 25.00 -5.14 -3.9
## 12727 21.70 52.30 -17.30 124.00 24.90 -2.69 -12.5
## 12923 139.00 -58.10 -63.50 0.85 9.00 -94.00 24.4
## 13003 69.10 -34.80 30.20 121.00 25.30 -5.13 -7.3
## 13055 96.80 9.45 49.20 121.00 25.60 -6.52 8.4
## 13178 22.60 72.80 -18.40 121.00 25.80 -5.01 -41.4
## 13211 17.90 -21.20 -20.00 121.00 25.40 -5.04 -25.6
## 13259 -5.26 31.80 -34.70 122.00 24.60 -5.64 -79.6
## 13284 8.99 -42.40 -16.20 122.00 25.20 -4.99 -24.5
## 13302 4.07 -5.75 -29.70 122.00 26.10 -5.26 -75.8
## 13327 23.50 -16.20 -34.40 119.00 24.90 -3.62 -29.4
## 13343 -35.50 16.80 -65.80 119.00 16.50 -1.83 105.8
## 13361 -44.40 -18.10 -25.00 119.00 16.20 -2.20 109.2
## 13434 -38.00 -5.74 -43.40 119.00 16.30 -2.59 109.2
## 13568 -45.50 -24.90 -17.00 118.00 17.50 -0.49 114.3
## 13588 -39.00 -6.11 -57.70 119.00 18.10 -1.18 100.4
## 13709 72.10 5.27 100.00 14.60 -4.24 -79.80 5.7
## 13757 72.70 -2.55 106.00 -14.00 0.46 -85.30 57.6
## 13785 106.00 -38.70 -4.99 5.28 0.41 -81.50 50.2
## 13841 85.70 -19.70 35.50 -15.90 -1.59 -85.50 -54.7
## 13886 103.00 -26.30 -1.50 -23.90 -2.84 -86.50 67.7
## 13915 86.90 -8.00 73.00 8.40 0.28 -79.50 -65.8
## 13996 92.80 0.53 80.30 -22.10 -2.64 -89.10 52.7
## 14025 99.50 -21.50 23.00 13.30 0.57 -80.40 52.7
## 14063 93.20 7.86 130.00 -2.52 7.94 -87.70 52.7
## 14120 68.40 -2.08 79.60 1.38 7.49 -93.50 90.7
## 14176 61.40 -29.10 53.90 1.28 7.38 -93.70 41.3
## 14288 70.30 4.87 118.00 1.48 6.07 -93.40 98.6
## 14314 74.50 -36.60 61.70 1.53 6.97 -93.50 101.9
## 14369 54.20 -2.36 69.40 1.25 6.76 -93.40 100.0
## 14386 0.00 0.00 0.00 1.06 5.29 -87.30 55.2
## 14422 0.00 0.00 0.00 1.22 3.90 -87.50 53.1
## 14446 0.00 0.00 0.00 0.92 4.16 -87.50 53.4
## 14522 0.00 0.00 0.00 1.03 3.65 -87.40 75.8
## 14548 0.00 0.00 0.00 1.10 5.29 -87.40 63.3
## 14568 0.00 0.00 0.00 1.15 4.15 -87.40 71.8
## 14621 0.00 0.00 0.00 1.05 4.03 -87.60 62.0
## 14645 0.00 0.00 0.00 1.00 5.72 -87.40 69.1
## 14676 0.00 0.00 0.00 0.00 3.99 -88.50 74.6
## 14695 0.00 0.00 0.00 0.44 5.08 -88.40 69.4
## 14724 0.00 0.00 0.00 0.95 4.92 -88.30 77.1
## 14741 0.00 0.00 0.00 0.47 5.00 -88.30 60.7
## 14777 0.00 0.00 0.00 -0.19 5.41 -88.80 61.7
## 14794 0.00 0.00 0.00 0.50 5.19 -88.90 59.1
## 14861 -15.40 -8.75 -43.20 125.00 -41.80 165.00 50.8
## 14926 -41.90 -62.40 22.10 125.00 -42.00 166.00 77.4
## 14955 -64.70 -69.50 45.60 125.00 -42.20 166.00 73.1
## 15042 -42.10 -62.70 13.60 125.00 -42.00 166.00 67.6
## 15060 -11.30 -0.72 -46.50 124.00 -41.70 166.00 56.9
## 15099 -23.60 -30.30 -24.00 124.00 -41.30 165.00 71.9
## 15123 -19.70 -34.20 -31.90 129.00 -49.60 169.00 57.2
## 15254 -16.90 14.80 -76.30 124.00 -41.90 166.00 30.7
## 15322 -39.60 -21.90 -27.40 119.00 14.90 3.53 -107.5
## 15340 -41.70 28.60 -99.20 119.00 14.40 3.61 -101.5
## 15434 -35.20 18.70 -81.20 119.00 15.90 -0.45 148.8
## 15467 -33.80 -8.13 -42.80 118.00 16.20 -1.03 101.9
## 15547 -46.00 -22.70 -23.30 119.00 15.80 -0.72 57.6
## 15562 -47.40 -20.00 -12.30 118.00 16.30 -1.77 131.9
## 15590 -34.50 2.48 -46.90 118.00 16.40 -2.09 109.2
## 15609 -42.60 34.20 -100.00 118.00 16.30 -1.82 110.2
## 15631 -30.30 -0.84 -56.90 118.00 15.90 -0.51 104.7
## 15678 0.00 0.00 0.00 0.59 5.41 -88.80 60.8
## 15699 0.00 0.00 0.00 0.53 3.87 -87.60 72.7
## 15765 97.00 -31.80 5.64 -6.76 0.38 -84.20 23.5
## 15823 72.20 -3.23 90.10 6.86 -0.62 -81.00 -34.1
## 15848 65.90 -18.00 78.10 -14.90 -2.86 -83.80 51.2
## 15900 -2.85 44.80 -32.90 119.00 25.30 -6.69 -53.2
## 15937 104.00 27.40 47.70 121.00 25.50 -6.17 26.0
## 15961 88.10 -17.90 31.10 120.00 25.80 -7.10 -1.0
## 15991 62.20 -45.70 26.70 1.29 6.91 -93.10 43.8
## 16015 91.40 -58.20 25.00 1.49 7.87 -93.60 64.1
## 16056 139.00 55.90 91.70 -27.80 60.00 -92.20 59.9
## 16108 -89.80 -33.20 58.80 157.00 -28.10 129.00 50.3
## 16129 -32.20 -2.97 -71.80 135.00 -33.60 130.00 96.5
## 16174 -75.10 -31.40 50.60 138.00 -34.30 142.00 36.4
## 16210 -86.80 -18.30 76.40 123.00 -40.70 158.00 67.6
## 16211 49.40 -2.92 66.70 1.12 7.23 -93.30 -119.4
## 16323 128.00 -62.60 -55.60 -7.68 6.13 -93.40 104.6
## 16350 58.30 4.59 65.30 7.97 4.04 -91.70 117.4
## 16417 157.00 -40.90 -87.80 7.99 4.71 -91.30 117.0
## 16469 91.50 -50.20 3.55 7.76 3.80 -91.20 -113.6
## 16498 81.00 -37.20 30.40 9.43 4.77 -91.70 -134.9
## 16569 90.60 -28.20 38.80 -5.57 2.38 -91.90 86.9
## 16597 138.00 -32.90 -61.40 7.10 5.52 -92.10 -140.6
## 16622 81.80 -6.81 80.20 -3.09 5.37 -92.90 91.0
## 16701 147.00 -22.50 -63.30 2.19 7.96 -93.20 -81.5
## 16780 10.50 30.60 -80.40 139.00 21.50 10.80 -14.7
## 16826 21.70 9.01 -133.00 139.00 21.40 11.90 -3.1
## 16873 -52.90 -26.70 -12.40 147.00 11.70 4.74 126.0
## 16892 -51.10 -29.10 -19.70 129.00 9.19 33.10 126.0
## 16915 -44.70 -11.00 -45.00 141.00 8.92 42.60 126.0
## 16977 -58.90 -31.50 -2.57 144.00 9.10 53.80 -98.3
## 17082 -39.70 -5.20 -47.70 139.00 7.76 58.50 0.0
## 17129 -36.90 15.90 -74.60 155.00 7.50 47.20 41.8
## 17149 -75.60 -24.10 39.90 136.00 12.00 49.80 109.9
## 17206 -55.30 -21.70 -1.76 150.00 6.81 49.60 95.2
## 17303 -44.00 0.66 -47.90 139.00 6.95 55.30 -105.7
## 17329 -71.20 -25.20 34.00 130.00 8.94 58.10 73.0
## 17394 -66.60 -20.40 0.59 135.00 8.35 55.20 -114.1
## 17445 -80.10 -18.00 34.30 129.00 9.72 55.60 126.8
## 17470 -60.30 10.10 -81.70 133.00 7.50 50.40 -111.7
## 17516 -62.60 -18.20 -21.60 130.00 7.61 42.00 -86.1
## 17557 87.90 -13.30 51.30 1.59 5.00 -86.90 73.5
## 17605 92.50 -17.20 46.10 1.29 1.67 -85.70 66.3
## 17650 84.00 -0.66 114.00 1.22 2.03 -87.10 69.5
## 17747 109.00 -33.60 -14.10 1.59 3.28 -87.80 60.2
## 17812 140.00 -28.90 -67.30 1.58 1.99 -87.40 64.5
## 17892 63.80 -24.10 46.00 0.93 3.34 -88.60 42.5
## 17944 142.00 -32.40 -73.20 1.35 3.27 -88.70 82.2
## 17976 0.00 0.00 0.00 0.96 4.88 -88.70 57.0
## 18004 0.00 0.00 0.00 0.82 4.96 -88.60 54.8
## 18024 0.00 0.00 0.00 8.62 -2.70 -80.90 51.7
## 18044 0.00 0.00 0.00 -4.57 2.08 -88.40 53.0
## 18147 0.00 0.00 0.00 -5.73 -0.52 -85.90 71.1
## 18168 0.00 0.00 0.00 9.99 -7.18 -77.70 35.3
## 18272 0.00 0.00 0.00 -3.89 -0.21 -84.90 83.1
## 18291 0.00 0.00 0.00 5.18 -4.52 -80.80 60.8
## 18354 0.00 0.00 0.00 -0.10 5.70 -88.00 53.8
## 18369 0.00 0.00 0.00 0.48 5.39 -88.20 59.8
## 18423 -16.00 -9.26 -44.30 142.00 -38.10 145.00 63.1
## 18471 -21.10 -30.80 -31.60 161.00 -29.00 131.00 68.1
## 18493 -19.70 -17.10 -46.90 138.00 -36.10 136.00 57.0
## 18514 -72.30 -60.10 34.70 149.00 -35.50 129.00 66.5
## 18536 -17.80 -5.15 -55.70 152.00 -30.80 126.00 62.9
## 18555 -71.70 -55.40 18.90 136.00 -36.50 133.00 60.5
## 18586 -5.89 -32.40 -46.90 158.00 -29.10 128.00 90.3
## 18609 -12.50 29.80 -92.00 141.00 -34.80 131.00 47.8
## 18654 -10.20 42.30 -92.30 138.00 -35.60 132.00 34.8
## 18675 -127.00 -31.40 95.00 159.00 -32.90 126.00 34.7
## 18716 -105.00 -39.00 79.50 159.00 -31.40 130.00 31.6
## 18739 -16.80 -4.05 -56.20 136.00 -33.60 134.00 116.9
## 18763 -25.60 -10.70 -52.50 155.00 -32.30 128.00 83.7
## 18791 -88.60 -37.60 57.80 148.00 -30.80 127.00 57.2
## 18813 -64.40 -42.50 21.00 157.00 -31.70 123.00 50.6
## 18831 -16.20 4.64 -68.20 135.00 -35.50 132.00 118.8
## 18858 -21.70 27.40 -84.40 139.00 -36.20 136.00 84.7
## 18912 59.10 -2.74 152.00 144.00 20.40 14.90 -70.7
## 18966 113.00 -4.86 113.00 142.00 23.30 19.30 -13.4
## 18983 104.00 -0.93 69.70 140.00 21.60 20.00 -58.4
## 19013 126.00 5.35 101.00 146.00 24.40 17.10 -49.7
## 19035 133.00 2.96 129.00 146.00 23.30 10.20 -51.3
## 19081 96.50 -18.00 -43.90 133.00 21.60 21.80 -42.8
## 19106 9.39 7.87 -31.80 135.00 26.60 14.80 -98.3
## 19121 5.08 -3.90 -78.50 135.00 26.10 13.60 -28.8
## 19217 0.00 0.00 0.00 -0.95 4.00 -87.60 78.2
## 19298 0.00 0.00 0.00 1.27 6.31 -88.20 53.8
## 19423 98.80 -11.70 -46.00 133.00 22.70 19.00 -65.4
## 19546 121.00 -46.70 -38.80 6.76 6.61 -92.50 -143.5
## 19596 67.40 17.00 94.10 7.69 4.34 -91.10 121.9
## 19622 -97.60 -37.70 71.50 143.00 -36.00 132.00 20.8
## pitch_dumbbell yaw_dumbbell roll_forearm pitch_forearm yaw_forearm classe
## 24 -70.7 -84.7 27.10 -63.70 -151.00 A
## 52 -70.4 -84.9 24.90 -63.80 -149.00 A
## 76 -70.5 -85.0 23.40 -63.80 -147.00 A
## 165 29.6 -24.6 19.00 -63.40 -143.00 A
## 210 16.1 123.9 81.60 -0.36 107.00 A
## 241 17.0 127.4 81.50 -2.61 109.00 A
## 314 30.7 126.1 89.20 3.01 105.00 A
## 401 26.5 129.1 103.00 83.40 111.00 A
## 463 29.1 127.9 -128.00 68.30 -124.00 A
## 476 25.5 131.2 89.50 16.50 73.30 A
## 506 28.6 126.0 178.00 79.70 -176.00 A
## 532 27.5 111.0 99.20 43.80 99.40 A
## 552 38.5 118.4 -124.00 52.80 -112.00 A
## 581 23.2 131.4 100.00 13.00 81.10 A
## 598 31.8 125.3 -129.00 44.20 -112.00 A
## 645 48.3 107.5 -159.00 59.60 -153.00 A
## 749 -22.6 -108.9 0.00 0.00 0.00 A
## 772 -25.5 -102.2 0.00 0.00 0.00 A
## 832 -29.5 -106.0 0.00 0.00 0.00 A
## 872 -30.9 -108.5 0.00 0.00 0.00 A
## 893 -31.6 -105.3 0.00 0.00 0.00 A
## 925 -38.0 118.9 -2.61 12.70 -110.00 A
## 947 -32.6 -103.5 0.00 0.00 0.00 A
## 969 -29.5 -102.9 0.00 0.00 0.00 A
## 1034 -30.2 -104.0 0.00 0.00 0.00 A
## 1076 -31.9 -104.9 0.00 0.00 0.00 A
## 1132 -32.9 -108.6 0.00 0.00 0.00 A
## 1253 -27.2 -92.7 0.00 0.00 0.00 A
## 1276 -20.2 -95.0 0.00 0.00 0.00 A
## 1318 -30.4 -98.1 0.00 0.00 0.00 A
## 1340 -30.4 -96.3 0.00 0.00 0.00 A
## 1435 -21.5 -92.6 0.00 0.00 0.00 A
## 1458 -27.8 -90.3 0.00 0.00 0.00 A
## 1532 -21.3 -95.4 0.00 0.00 0.00 A
## 1586 -30.0 -94.3 0.00 0.00 0.00 A
## 1620 -24.5 -96.4 0.00 0.00 0.00 A
## 1641 -61.3 94.3 170.00 -66.60 131.00 A
## 1668 -61.3 94.3 160.00 -63.70 139.00 A
## 1772 40.7 33.6 165.00 -45.20 87.10 A
## 1825 53.2 -13.5 -130.00 8.20 -23.30 A
## 1882 67.2 42.8 -179.00 -23.40 27.70 A
## 1908 48.8 12.5 -154.00 10.60 -49.90 A
## 1958 -75.9 29.9 158.00 4.82 118.00 A
## 1979 27.2 110.7 -165.00 1.12 -52.00 A
## 2008 18.0 110.8 163.00 9.10 94.80 A
## 2064 74.7 47.0 180.00 -7.14 -10.70 A
## 2144 -37.9 -33.2 -176.00 5.97 -35.80 A
## 2166 56.4 78.5 178.00 20.90 61.90 A
## 2210 -24.7 -24.7 174.00 14.80 20.40 A
## 2231 -50.2 -85.1 44.80 -65.60 169.00 A
## 2255 -50.0 -84.7 49.00 -62.90 168.00 A
## 2282 -51.0 -84.0 49.60 -62.50 166.00 A
## 2314 -49.8 -85.3 49.10 -61.70 165.00 A
## 2422 -50.6 -85.7 48.50 -57.90 165.00 A
## 2449 -52.4 -76.8 50.60 -56.80 163.00 A
## 2478 -53.7 -70.3 51.50 -55.10 163.00 A
## 2505 -50.7 -76.9 53.20 -52.10 164.00 A
## 2574 -48.6 -76.8 54.80 -48.50 159.00 A
## 2675 14.8 60.1 13.70 -64.20 -139.00 A
## 2835 -18.2 72.7 6.71 39.80 101.00 A
## 2908 42.1 -95.5 22.50 24.50 141.00 A
## 2954 -37.5 51.0 -5.52 40.70 97.20 A
## 2981 0.0 116.6 58.80 -57.50 -169.00 A
## 3008 50.8 94.6 -20.10 47.80 78.20 A
## 3105 -41.3 24.3 63.90 29.30 136.00 A
## 3133 18.1 124.0 77.30 2.27 139.00 A
## 3330 -49.9 -76.4 52.60 -44.30 159.00 A
## 3377 -52.3 -76.9 51.80 -42.90 159.00 A
## 3675 -53.4 -75.7 75.10 -25.00 94.90 A
## 3700 -40.6 -75.9 -104.00 73.80 -68.20 A
## 3835 -47.3 -67.2 103.00 39.90 136.00 A
## 3878 -51.7 -76.6 111.00 38.60 144.00 A
## 3925 -50.9 -73.8 121.00 49.20 158.00 A
## 3954 -37.7 -84.6 133.00 -35.80 68.60 A
## 3971 -40.9 -69.9 150.00 55.90 -172.00 A
## 4075 -27.1 -89.5 0.00 0.00 0.00 A
## 4116 -21.9 -92.3 0.00 0.00 0.00 A
## 4156 -29.8 -91.3 0.00 0.00 0.00 A
## 4225 -18.6 58.7 -0.70 -1.70 -82.40 A
## 4280 -14.9 40.0 -0.40 -2.13 -82.10 A
## 4303 -34.2 30.3 0.61 -1.65 -81.20 A
## 4395 -12.6 134.2 7.52 20.70 -116.00 A
## 4439 -42.9 89.4 11.20 15.10 -105.00 A
## 4463 -8.9 17.9 15.50 13.00 -104.00 A
## 4511 -34.6 112.7 13.90 12.50 -95.60 A
## 4540 86.9 -25.7 -42.20 2.93 173.00 A
## 4564 -22.5 125.0 16.50 9.70 -63.40 A
## 4633 -8.3 145.3 -32.80 13.70 -169.00 A
## 4734 -8.4 88.9 -35.60 21.50 -160.00 A
## 4752 -16.2 120.3 23.80 0.63 -69.80 A
## 4773 -8.3 84.0 2.14 29.60 -121.00 A
## 4791 -19.2 137.7 -48.00 21.00 -178.00 A
## 4811 -20.7 136.3 15.40 24.80 -79.40 A
## 4858 -26.3 89.3 -44.50 26.80 -171.00 A
## 4964 -32.7 -91.2 0.00 0.00 0.00 A
## 5033 -33.3 -94.3 0.00 0.00 0.00 A
## 5065 -19.9 81.1 33.90 19.90 -80.10 A
## 5095 -6.2 150.1 -6.59 22.90 -134.00 A
## 5139 -32.1 98.8 12.00 8.98 -104.00 A
## 5156 -8.1 21.8 -5.93 -7.40 -88.80 A
## 5226 -50.2 -76.6 53.10 -54.70 167.00 A
## 5265 62.7 -27.7 -171.00 -10.10 -6.50 A
## 5339 -24.4 9.7 146.00 -19.00 118.00 A
## 5389 -57.1 98.0 -142.00 -72.50 81.50 A
## 5413 -56.9 98.1 -138.00 -63.30 77.30 A
## 5437 -56.8 98.3 -131.00 -63.60 67.60 A
## 5479 32.2 124.8 108.00 16.10 80.20 A
## 5547 20.5 131.9 108.00 83.50 130.00 A
## 5549 -71.2 39.1 83.40 -1.83 108.00 A
## 5639 18.6 128.1 121.00 23.10 101.00 B
## 5714 6.3 93.5 -173.00 56.10 -139.00 B
## 5739 2.3 87.6 118.00 2.11 78.40 B
## 5832 -61.6 23.5 113.00 22.80 109.00 B
## 5864 -27.8 34.4 132.00 -8.32 97.40 B
## 5922 -31.0 37.4 135.00 24.50 138.00 B
## 5935 30.1 122.8 148.00 62.90 170.00 B
## 5959 -3.1 136.9 173.00 57.00 -148.00 B
## 6038 98.3 48.5 178.00 21.50 103.00 B
## 6066 88.1 55.1 165.00 7.96 -8.01 B
## 6118 75.0 70.8 -174.00 19.20 108.00 B
## 6145 77.8 59.6 175.00 8.76 -123.00 B
## 6178 101.7 43.9 169.00 16.90 8.88 B
## 6515 39.8 9.0 -90.90 68.40 -40.20 B
## 6542 0.0 5.3 113.00 -32.80 109.00 B
## 6608 10.6 -14.1 116.00 -26.10 111.00 B
## 6632 3.0 35.5 112.00 -19.20 120.00 B
## 6662 -20.2 -2.5 129.00 -22.20 107.00 B
## 6704 2.7 5.4 132.00 0.16 108.00 B
## 6757 -11.8 -62.9 175.00 47.60 -151.00 B
## 6866 10.3 93.7 -156.00 37.60 -100.00 B
## 6897 16.8 116.1 -153.00 43.40 -96.90 B
## 6915 15.5 121.9 -179.00 51.50 -135.00 B
## 6945 11.2 133.3 165.00 37.80 -176.00 B
## 6957 -39.0 -74.5 137.00 -32.70 70.20 B
## 6984 -45.9 -70.3 130.00 -31.80 85.60 B
## 7001 -51.8 -74.9 -168.00 49.40 -96.70 B
## 7068 -40.8 -47.2 135.00 36.30 156.00 B
## 7095 -20.6 -64.3 -167.00 27.60 -99.00 B
## 7120 -52.1 -79.0 147.00 -10.00 73.20 B
## 7139 -18.3 -64.2 156.00 36.40 -151.00 B
## 7179 -55.1 -59.5 178.00 26.30 -99.00 B
## 7274 -21.1 -49.7 152.00 8.25 68.90 B
## 7302 -23.4 -53.1 157.00 7.57 87.70 B
## 7324 -11.8 -59.1 0.00 0.00 0.00 B
## 7363 -27.5 -61.0 0.00 0.00 0.00 B
## 7496 -21.8 -48.3 0.00 0.00 0.00 B
## 7520 -33.7 -101.8 0.00 0.00 0.00 B
## 7570 22.1 -31.8 0.00 0.00 0.00 B
## 7607 17.5 -34.6 0.00 0.00 0.00 B
## 7663 10.9 -36.5 0.00 0.00 0.00 B
## 7686 -25.1 -85.1 0.00 0.00 0.00 B
## 7738 -9.8 -56.8 0.00 0.00 0.00 B
## 7767 -12.0 -54.8 0.00 0.00 0.00 B
## 7785 -30.2 -98.8 0.00 0.00 0.00 B
## 7860 -29.0 -80.5 0.00 0.00 0.00 B
## 7981 -20.7 -89.3 0.00 0.00 0.00 B
## 8003 -9.2 58.5 31.90 14.00 -74.30 B
## 8027 -20.9 136.0 -4.33 33.30 -105.00 B
## 8098 68.3 23.2 -51.00 29.10 -168.00 B
## 8122 7.1 118.1 28.00 21.20 -62.00 B
## 8148 11.5 79.5 33.60 18.10 -71.30 B
## 8197 2.5 111.8 33.00 6.32 -53.40 B
## 8213 31.4 62.7 -53.10 -0.76 131.00 B
## 8335 25.7 76.0 -34.00 22.90 -174.00 B
## 8408 43.5 37.5 -49.20 -12.00 127.00 B
## 8481 -47.8 -12.6 -22.00 27.80 -146.00 B
## 8500 83.5 -20.6 25.40 1.16 -71.10 B
## 8545 -42.3 -5.4 -48.40 16.70 170.00 B
## 8564 -85.2 45.9 19.60 3.06 -67.30 B
## 8589 88.8 -3.4 -48.70 20.30 174.00 B
## 8644 -24.2 -89.2 0.00 0.00 0.00 B
## 8718 -28.5 -99.3 0.00 0.00 0.00 B
## 8739 -44.8 9.3 -54.90 -1.30 156.00 B
## 8783 50.5 40.8 -40.70 22.50 -178.00 B
## 8875 -57.2 -74.0 170.00 23.70 -146.00 B
## 8903 -32.6 -34.4 141.00 0.61 72.80 B
## 8925 -44.9 -58.7 133.00 -3.04 101.00 B
## 8955 -50.9 -74.5 131.00 -34.20 90.40 B
## 9009 79.5 67.3 177.00 21.50 -124.00 B
## 9057 -14.8 -45.8 179.00 22.20 48.50 B
## 9077 11.9 139.4 -177.00 24.40 111.00 B
## 9098 -33.9 94.8 -178.00 24.40 112.00 B
## 9127 -53.6 28.0 133.00 3.36 100.00 B
## 9182 -17.7 122.1 -155.00 29.20 -82.80 B
## 9207 18.7 114.3 138.00 35.60 140.00 B
## 9252 4.9 59.4 142.00 4.09 109.00 B
## 9276 50.1 15.3 131.00 32.70 131.00 B
## 9352 39.8 21.3 -111.00 25.90 -34.80 B
## 9392 -24.9 50.0 147.00 -5.71 84.40 C
## 9463 -48.0 56.2 175.00 33.20 -105.00 C
## 9535 38.7 117.4 147.00 9.63 117.00 C
## 9608 33.3 123.3 158.00 35.20 162.00 C
## 9651 24.7 132.3 160.00 47.60 171.00 C
## 9666 41.4 113.6 131.00 1.95 90.00 C
## 9732 28.7 128.3 159.00 49.40 169.00 C
## 9780 -17.9 -6.7 -180.00 15.50 -45.20 C
## 9880 -38.2 -38.2 -177.00 14.60 94.70 C
## 9938 -38.2 -38.2 -180.00 13.30 45.00 C
## 9980 -19.4 -129.5 167.00 6.97 -22.20 C
## 10090 22.0 -45.2 -173.00 4.13 119.00 C
## 10119 83.7 -38.1 -180.00 15.70 1.36 C
## 10209 -11.6 25.1 149.00 2.57 98.30 C
## 10290 -13.9 50.5 151.00 -1.63 105.00 C
## 10316 -25.6 53.2 153.00 30.20 167.00 C
## 10409 -33.5 12.7 141.00 44.30 140.00 C
## 10483 0.0 86.6 164.00 51.50 173.00 C
## 10507 -30.5 -5.0 144.00 21.50 130.00 C
## 10558 -21.9 0.0 140.00 13.20 105.00 C
## 10611 -9.8 57.1 141.00 28.10 121.00 C
## 10665 -53.7 -76.6 156.00 2.86 84.40 C
## 10741 -53.4 -75.7 151.00 13.90 121.00 C
## 10768 -57.6 -83.2 141.00 -18.00 72.50 C
## 10793 -54.0 -76.4 133.00 1.58 105.00 C
## 10819 -53.3 -75.4 155.00 31.10 165.00 C
## 10844 -50.9 -72.0 136.00 -14.10 75.80 C
## 10869 -53.4 -74.3 123.00 16.10 108.00 C
## 10936 -56.1 -66.8 128.00 -19.40 71.80 C
## 10984 -53.8 -74.3 130.00 -18.50 82.10 C
## 11007 -54.8 -70.0 128.00 -16.60 87.50 C
## 11056 -52.0 -72.9 131.00 39.80 145.00 C
## 11083 -52.1 -77.6 165.00 42.90 -164.00 C
## 11142 -58.4 -65.6 132.00 -7.59 91.70 C
## 11176 -62.1 -80.1 147.00 19.30 142.00 C
## 11198 -54.0 -74.2 148.00 18.50 127.00 C
## 11238 -28.5 -96.5 0.00 0.00 0.00 C
## 11287 -18.4 -108.6 0.00 0.00 0.00 C
## 11401 -33.6 -102.3 0.00 0.00 0.00 C
## 11425 -26.8 -94.8 0.00 0.00 0.00 C
## 11472 -29.6 -101.7 0.00 0.00 0.00 C
## 11570 -29.7 -99.8 0.00 0.00 0.00 C
## 11618 -27.3 -90.4 0.00 0.00 0.00 C
## 11667 -28.4 -101.0 0.00 0.00 0.00 C
## 11711 -29.5 -101.5 0.00 0.00 0.00 C
## 11750 -30.1 -94.8 0.00 0.00 0.00 C
## 11776 -28.5 -93.9 0.00 0.00 0.00 C
## 11847 -33.8 -99.3 0.00 0.00 0.00 C
## 11864 -27.1 -98.4 0.00 0.00 0.00 C
## 11957 -32.4 -102.1 0.00 0.00 0.00 C
## 11975 -42.6 33.1 26.10 1.20 -70.00 C
## 12000 -43.2 8.8 -52.00 2.60 147.00 C
## 12020 -46.2 29.2 29.00 12.20 -61.50 C
## 12050 -50.0 19.0 -34.00 28.10 -162.00 C
## 12098 -37.8 30.4 1.66 28.20 -110.00 C
## 12119 -37.1 13.6 30.70 15.80 -81.70 C
## 12146 -41.8 23.4 -39.70 33.00 -159.00 C
## 12199 -52.9 10.1 38.90 15.80 -48.10 C
## 12221 -45.9 13.9 -38.00 41.60 -145.00 C
## 12265 -47.3 13.7 19.30 33.30 -74.80 C
## 12307 -44.6 26.9 42.30 12.80 -37.30 C
## 12357 -44.0 21.4 -34.90 46.20 -126.00 C
## 12429 -51.4 10.2 -39.60 43.30 -134.00 C
## 12447 -44.3 15.9 -17.20 44.40 -115.00 C
## 12470 -50.1 22.6 31.70 22.30 -60.50 C
## 12496 -35.6 24.8 -41.10 21.20 -173.00 C
## 12557 -55.2 -72.9 149.00 17.30 150.00 C
## 12630 -38.2 -38.2 -175.00 12.90 95.90 C
## 12651 14.7 141.8 140.00 -2.72 92.10 C
## 12727 27.6 126.6 148.00 5.45 130.00 C
## 12923 -8.1 131.3 -160.00 52.70 -156.00 D
## 13003 26.5 129.6 140.00 41.70 146.00 D
## 13055 26.4 129.3 -155.00 44.40 -119.00 D
## 13178 1.8 115.6 -161.00 54.60 -140.00 D
## 13211 22.5 122.7 -176.00 54.60 -165.00 D
## 13259 10.4 76.4 142.00 47.00 134.00 D
## 13284 15.2 128.1 -136.00 37.60 -101.00 D
## 13302 11.7 79.9 139.00 40.10 128.00 D
## 13327 21.9 120.0 164.00 59.40 176.00 D
## 13343 42.1 -27.6 -71.20 13.30 -160.00 D
## 13361 41.5 -22.4 -70.10 27.80 -159.00 D
## 13434 41.5 -22.4 13.60 63.80 -61.40 D
## 13568 42.2 6.8 -43.70 76.60 -97.90 D
## 13588 56.1 -7.3 73.30 64.10 17.80 D
## 13709 -43.8 -112.9 -171.00 8.80 87.40 D
## 13757 28.0 91.4 -177.00 11.70 77.30 D
## 13785 24.3 100.2 179.00 14.20 0.19 D
## 13841 -41.7 -85.1 179.00 14.20 23.40 D
## 13886 4.3 89.2 -178.00 17.10 -0.88 D
## 13915 -25.3 -84.9 -176.00 14.60 57.90 D
## 13996 16.8 101.2 -173.00 16.10 81.70 D
## 14025 16.8 101.2 179.00 14.30 -56.20 D
## 14063 16.8 101.2 -178.00 11.40 91.90 D
## 14120 26.6 59.2 -144.00 45.80 -126.00 D
## 14176 -15.1 112.8 136.00 17.90 109.00 D
## 14288 18.3 54.8 144.00 35.70 105.00 D
## 14314 0.0 55.2 -146.00 38.60 -133.00 D
## 14369 5.4 56.7 -130.00 28.20 -104.00 D
## 14386 -54.8 -73.9 175.00 39.60 -159.00 D
## 14422 -52.3 -77.9 141.00 26.30 126.00 D
## 14446 -49.6 -80.0 180.00 39.70 -153.00 D
## 14522 -43.4 -63.3 147.00 23.40 121.00 D
## 14548 -50.9 -69.7 152.00 35.40 156.00 D
## 14568 -42.8 -67.9 168.00 35.20 -179.00 D
## 14621 -50.0 -71.8 158.00 34.60 159.00 D
## 14645 -46.5 -67.7 -170.00 40.30 -140.00 D
## 14676 -46.8 -61.7 148.00 26.90 128.00 D
## 14695 -52.1 -62.6 148.00 27.50 130.00 D
## 14724 -40.4 -64.3 148.00 28.30 129.00 D
## 14741 -52.5 -70.8 148.00 27.00 127.00 D
## 14777 -50.4 -71.7 149.00 30.10 126.00 D
## 14794 -50.5 -74.1 148.00 30.50 126.00 D
## 14861 -30.4 -96.3 0.00 0.00 0.00 D
## 14926 -23.0 -74.5 0.00 0.00 0.00 D
## 14955 -17.5 -80.9 0.00 0.00 0.00 D
## 15042 -21.2 -85.0 0.00 0.00 0.00 D
## 15060 -27.9 -92.1 0.00 0.00 0.00 D
## 15099 -20.1 -81.2 0.00 0.00 0.00 D
## 15123 -30.2 -90.5 0.00 0.00 0.00 D
## 15254 -29.6 -113.7 0.00 0.00 0.00 D
## 15322 -44.0 21.4 -24.80 49.40 -118.00 D
## 15340 23.8 -49.1 -23.50 50.10 -110.00 D
## 15434 3.7 -7.4 -21.50 53.90 -103.00 D
## 15467 21.5 -50.0 -43.10 43.70 -130.00 D
## 15547 89.2 -31.7 -59.90 55.00 -132.00 D
## 15562 6.1 24.5 -66.90 45.00 -147.00 D
## 15590 41.5 -22.4 -9.18 57.10 -87.30 D
## 15609 46.2 7.4 29.10 40.90 -46.10 D
## 15631 3.3 -52.3 48.10 15.40 -17.40 D
## 15678 -49.8 -73.1 148.00 30.30 126.00 D
## 15699 -41.5 -68.1 150.00 24.10 128.00 D
## 15765 -39.8 110.2 -178.00 15.30 -2.43 D
## 15823 -57.9 -87.5 176.00 16.30 -20.90 D
## 15848 47.1 83.9 -176.00 3.93 116.00 D
## 15900 7.8 103.2 138.00 43.10 128.00 D
## 15937 33.9 113.7 -155.00 46.60 -128.00 D
## 15961 24.0 133.0 123.00 25.50 103.00 D
## 15991 17.0 109.7 140.00 38.20 114.00 D
## 16015 36.7 80.0 -166.00 49.20 -175.00 D
## 16056 62.4 62.4 177.00 -17.90 136.00 E
## 16108 -33.1 -95.0 0.00 0.00 0.00 E
## 16129 -35.7 -46.7 0.00 0.00 0.00 E
## 16174 -33.7 -106.4 0.00 0.00 0.00 E
## 16210 -28.0 -81.8 0.00 0.00 0.00 E
## 16211 -11.7 35.6 164.00 58.30 163.00 E
## 16323 3.8 52.3 138.00 4.93 94.50 E
## 16350 1.4 39.6 -146.00 6.55 -49.50 E
## 16417 10.7 38.4 -153.00 27.60 -88.90 E
## 16469 -17.5 -39.4 -160.00 45.20 -123.00 E
## 16498 3.6 -21.9 172.00 48.40 -160.00 E
## 16569 40.2 53.9 177.00 41.50 -156.00 E
## 16597 -8.5 -14.1 141.00 15.20 106.00 E
## 16622 37.9 51.1 -155.00 30.10 -91.80 E
## 16701 14.0 -73.6 147.00 38.00 125.00 E
## 16780 12.9 137.4 117.00 6.09 102.00 E
## 16826 19.7 137.1 135.00 23.70 137.00 E
## 16873 27.2 14.7 -102.00 62.70 -144.00 E
## 16892 27.2 14.7 -119.00 80.00 -160.00 E
## 16915 27.2 14.7 98.60 81.10 67.40 E
## 16977 -56.9 -13.1 97.60 10.10 68.90 E
## 17082 -86.2 -70.9 -43.80 35.30 -137.00 E
## 17129 -103.9 30.9 42.20 20.20 -33.30 E
## 17149 40.7 -22.5 -56.00 33.10 -148.00 E
## 17206 36.4 -47.6 4.93 50.90 -80.60 E
## 17303 -46.5 -20.4 -72.90 7.21 175.00 E
## 17329 73.0 -34.0 -74.40 -2.75 -179.00 E
## 17394 -38.6 -17.8 -74.30 -0.24 175.00 E
## 17445 24.1 18.0 -72.10 -14.40 174.00 E
## 17470 -43.6 11.9 4.38 55.40 -76.40 E
## 17516 -61.9 -30.2 -73.50 19.20 -171.00 E
## 17557 21.9 78.9 178.00 2.68 115.00 E
## 17605 55.3 62.8 -179.00 12.60 -19.30 E
## 17650 53.9 60.8 179.00 12.90 10.80 E
## 17747 40.4 81.0 -179.00 22.70 -55.20 E
## 17812 59.3 60.8 177.00 10.20 -33.30 E
## 17892 35.8 99.9 -177.00 13.20 5.25 E
## 17944 17.8 71.7 -76.90 39.40 164.00 E
## 17976 -52.6 -74.2 148.00 32.20 127.00 E
## 18004 -50.8 -77.8 138.00 20.60 106.00 E
## 18024 -51.7 -79.6 -161.00 18.60 -105.00 E
## 18044 -51.8 -78.5 141.00 3.80 96.00 E
## 18147 -44.5 -67.3 146.00 2.76 110.00 E
## 18168 -58.6 -86.0 168.00 28.80 -142.00 E
## 18272 -46.0 -53.2 157.00 -13.70 61.80 E
## 18291 -52.2 -71.1 154.00 21.70 -168.00 E
## 18354 -51.3 -78.2 153.00 -5.90 88.80 E
## 18369 -37.2 -83.6 151.00 -4.46 89.30 E
## 18423 -26.3 -86.9 0.00 0.00 0.00 E
## 18471 -21.3 -84.5 0.00 0.00 0.00 E
## 18493 -29.4 -91.1 0.00 0.00 0.00 E
## 18514 -23.5 -85.1 0.00 0.00 0.00 E
## 18536 -23.5 -88.6 0.00 0.00 0.00 E
## 18555 -28.3 -88.5 0.00 0.00 0.00 E
## 18586 -8.9 -65.9 0.00 0.00 0.00 E
## 18609 -23.7 -102.8 0.00 0.00 0.00 E
## 18654 -33.6 -107.7 0.00 0.00 0.00 E
## 18675 -30.6 -109.9 0.00 0.00 0.00 E
## 18716 -27.5 -114.5 0.00 0.00 0.00 E
## 18739 29.3 -26.7 0.00 0.00 0.00 E
## 18763 -19.0 -69.8 0.00 0.00 0.00 E
## 18791 -42.0 -82.6 0.00 0.00 0.00 E
## 18813 -31.1 -96.0 0.00 0.00 0.00 E
## 18831 23.1 -29.9 0.00 0.00 0.00 E
## 18858 -16.7 -69.6 0.00 0.00 0.00 E
## 18912 -19.3 82.7 142.00 15.60 124.00 E
## 18966 33.5 120.8 147.00 1.41 86.80 E
## 18983 3.6 98.6 -178.00 23.80 -119.00 E
## 19013 10.8 106.0 153.00 -1.09 95.90 E
## 19035 6.0 105.3 154.00 13.30 132.00 E
## 19081 24.2 107.1 165.00 6.54 128.00 E
## 19106 -21.5 53.7 150.00 9.04 98.60 E
## 19121 1.0 128.3 148.00 12.40 99.80 E
## 19217 -36.4 -66.0 154.00 -5.90 86.30 E
## 19298 -52.7 -77.0 133.00 -2.87 88.40 E
## 19423 -15.5 89.2 154.00 28.40 157.00 E
## 19546 -10.6 -8.4 141.00 23.10 123.00 E
## 19596 -5.7 34.7 -145.00 21.10 -68.00 E
## 19622 -19.7 -128.2 0.00 0.00 0.00 E
set.seed(1111)
partition = createDataPartition(train_subs$classe, p = 0.50,list=FALSE)
training_cv = train_subs[-partition,]
testing_cv = train_subs[partition,]
cv <- trainControl(method = "cv", number = 7)
model1 <- train(classe ~ ., data = training_cv, trControl = cv,
method = "rpart", na.action = na.pass)
model1$finalModel
## n= 201
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 201 147 A (0.27 0.19 0.17 0.17 0.19)
## 2) roll_belt< 131.5 177 123 A (0.31 0.22 0.2 0.19 0.085)
## 4) roll_dumbbell< 61.75 127 78 A (0.39 0.13 0.28 0.15 0.055) *
## 5) roll_dumbbell>=61.75 50 28 B (0.1 0.44 0 0.3 0.16) *
## 3) roll_belt>=131.5 24 0 E (0 0 0 0 1) *
model1$resample
## Accuracy Kappa Resample
## 1 0.5333333 0.39393939 Fold3
## 2 0.4827586 0.34977578 Fold2
## 3 0.5517241 0.41910632 Fold1
## 4 0.2592593 0.05263158 Fold4
## 5 0.5172414 0.39221557 Fold7
## 6 0.4482759 0.30538922 Fold6
## 7 0.5000000 0.36774194 Fold5
model1$results
## cp Accuracy Kappa AccuracySD KappaSD
## 1 0.06802721 0.4703704 0.32582854 0.09905143 0.1259177
## 2 0.11564626 0.3912138 0.18570258 0.08247779 0.1247563
## 3 0.16326531 0.3091485 0.05939014 0.05052695 0.0687403
pr_rpart1 <- predict(model1, testing_cv)
Going back to the original data set
Fit different models on the training data set
set.seed(5678)
modrpart <- train(classe ~ ., data = train_subs, method = "rpart")
modrf <- train(classe ~ ., data = train_subs, method = "rf")
pr_rpart <- predict(modrpart, testing)
pr_rf <- predict(modrf, testing)
modrpart$results
## cp Accuracy Kappa AccuracySD KappaSD
## 1 0.03367003 0.4758718 0.34090645 0.05485246 0.06904800
## 2 0.04713805 0.4301158 0.28128734 0.05621553 0.07607626
## 3 0.14141414 0.3267346 0.08468032 0.06672387 0.06120724
modrpart$finalModel
## n= 406
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 406 297 A (0.27 0.19 0.17 0.17 0.19)
## 2) roll_belt< 132 364 255 A (0.3 0.22 0.19 0.19 0.1)
## 4) pitch_forearm< -35 25 0 A (1 0 0 0 0) *
## 5) pitch_forearm>=-35 339 255 A (0.25 0.23 0.21 0.2 0.11)
## 10) roll_dumbbell< 61.65 239 166 A (0.31 0.17 0.29 0.16 0.079)
## 20) roll_forearm< 112 143 78 A (0.45 0.13 0.24 0.14 0.035) *
## 21) roll_forearm>=112 96 62 C (0.083 0.23 0.35 0.19 0.15) *
## 11) roll_dumbbell>=61.65 100 61 B (0.11 0.39 0.01 0.31 0.18)
## 22) pitch_forearm< 23.15 56 26 B (0.089 0.54 0.018 0.12 0.23) *
## 23) pitch_forearm>=23.15 44 20 D (0.14 0.2 0 0.55 0.11) *
## 3) roll_belt>=132 42 0 E (0 0 0 0 1) *
modrf$results
## mtry Accuracy Kappa AccuracySD KappaSD
## 1 2 0.7042032 0.6272284 0.03936302 0.04924336
## 2 7 0.6802934 0.5976316 0.04091236 0.05085998
## 3 12 0.6594455 0.5715838 0.04441895 0.05517087
modrf$finalModel
##
## Call:
## randomForest(x = x, y = y, mtry = param$mtry)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 2
##
## OOB estimate of error rate: 25.12%
## Confusion matrix:
## A B C D E class.error
## A 87 6 8 5 3 0.2018349
## B 7 51 10 9 2 0.3544304
## C 7 4 52 7 0 0.2571429
## D 1 5 9 54 0 0.2173913
## E 1 9 3 6 60 0.2405063
As evident in the above results, from the Final Models for the Random Forest and Recursive Partitioning and Regression Tree models, it appears the RF models performed best with an out of sample error rate of 25.12%.
Out of sample error rate for the RPART model was 53%.
#THE END