Image source

Introduction.

Machine Learning is a scientific discipline in the field of Artificial Intelligence that creates systems that learn automatically. The aim is to be able to identify complex patterns in millions of data. The machine that really learns is an algorithm that reviews the data and is able to predict future behavior. Automatically, also in this context, implies that these systems are improved autonomously over time, without human intervention.

In this work, I will do a machine learning analysis on the movement data of 6 people. Each one will carry several sensors to measure their movements when they lift weights (belt accelerometers, forearm and arm). For this analysis, I will implement 2 models, decision trees and random forest.

Analysis Considerations.

Using devices such as Jawbone Up, Nike FuelBand, and Fitbit it is now possible to collect a large amount of data about personal activity relatively inexpensively. These type of devices are part of the quantified self movement – a group of enthusiasts who take measurements about themselves regularly to improve their health, to find patterns in their behavior, or because they are tech geeks. One thing that people regularly do is quantify how much of a particular activity they do, but they rarely quantify how well they do it. In this project, your goal will be 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: http://web.archive.org/web/20161224072740/http:/groupware.les.inf.puc-rio.br/har (see the section on the Weight Lifting Exercise Dataset).

Data.

The training data for this project are available here:

https://d396qusza40orc.cloudfront.net/predmachlearn/pml-training.csv

The test data are available here:

https://d396qusza40orc.cloudfront.net/predmachlearn/pml-testing.csv

The data for this project come from this source: http://web.archive.org/web/20161224072740/http:/groupware.les.inf.puc-rio.br/har. If you use the document you create for this class for any purpose please cite them as they have been very generous in allowing their data to be used for this kind of assignment.

What should you submit.

The goal of your project is to predict the manner in which they did the exercise. This is the “classe” variable in the training set. You may use any of the other variables to predict with. You should create a report describing how you built your model, how you used cross validation, what you think the expected out of sample error is, and why you made the choices you did. You will also use your prediction model to predict 20 different test cases.

Build the model.

Our outcome variable is classe, a factor (categorical) variable. For this data set, “participants were asked to perform one set of 10 repetitions of the Unilateral Dumbbell Biceps Curl in 5 different fashions:

Two models will be tested using decision tree and random forest. The model with the highest accuracy will be chosen as our final model.

Class A corresponds to the specified execution of the exercise, the other 4 classes correspond to common mistakes. Prediction evaluations will be based on maximizing the accuracy and minimizing the out-of-sample error. All other available variables after cleaning will be used for prediction.

Cross-validation

Cross-validation will be performed by subsampling our training data set randomly without replacement into 2 subsamples: TrainTrainingSet data (75% of the original Training data set) and TestTrainingSet data (25%). Our models will be fitted on the TrainTrainingSet data set, and tested on the TestTrainingSet data. Once the most accurate model is choosen, it will be tested on the original Testing data set.

Expected out-of-sample error

The expected out-of-sample error will correspond to the quantity: 1-accuracy in the cross-validation data. Accuracy is the proportion of correct classified observation over the total sample in the TestTrainingSet data set. Expected accuracy is the expected accuracy in the out-of-sample data set (i.e. original testing data set). Thus, the expected value of the out-of-sample error will correspond to the expected number of missclassified observations/total observations in the Test data set, which is the quantity: 1-accuracy found from the cross-validation data set.

Our outcome variable “classe” is a factor variable. We split the Training dataset into TrainTrainingSet and TestTrainingSet datasets.

Install packages and load the required libraries

set.seed(2326)

Getting and cleaning data.

The training dataset can be downloaded from the following web-page:

trainUrl <- "http://d396qusza40orc.cloudfront.net/predmachlearn/pml-training.csv"

The test dataset can be downloaded from the following bwe-page:

testUrl <- "http://d396qusza40orc.cloudfront.net/predmachlearn/pml-testing.csv"

Loading the data to memory:

training <- read.csv(url(trainUrl), na.strings=c("NA","#DIV/0!",""))
testing <- read.csv(url(testUrl), na.strings=c("NA","#DIV/0!",""))

# Delete columns with all missing values
training<-training[,colSums(is.na(training)) == 0]
testing <-testing[,colSums(is.na(testing)) == 0]

# Delete variables are irrelevant to our current project: user_name, raw_timestamp_part_1, raw_timestamp_part_,2 cvtd_timestamp, new_window, and  num_window (columns 1 to 7). 

training   <-training[,-c(1:7)]
testing <-testing[,-c(1:7)]

Partioning the training set into two.

Partioning Training data set into two data sets, 60% for myTraining, 40% for myTesting:

inTrain <- createDataPartition(y=training$classe, p=0.6, list=FALSE)
myTraining <- training[inTrain, ]
myTesting <- training[-inTrain, ]
dim(myTraining)
## [1] 11776    53
dim(myTesting)
## [1] 7846   53
str(myTraining)
## 'data.frame':    11776 obs. of  53 variables:
##  $ roll_belt           : num  1.41 1.42 1.48 1.48 1.42 1.43 1.45 1.48 1.55 1.57 ...
##  $ pitch_belt          : num  8.07 8.07 8.05 8.07 8.09 8.18 8.2 8.15 8.08 8.06 ...
##  $ yaw_belt            : num  -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 ...
##  $ total_accel_belt    : int  3 3 3 3 3 3 3 3 3 3 ...
##  $ gyros_belt_x        : num  0 0 0.02 0.02 0.02 0.02 0 0 0 0 ...
##  $ gyros_belt_y        : num  0 0 0 0.02 0 0 0 0 0.02 0 ...
##  $ gyros_belt_z        : num  -0.02 -0.02 -0.03 -0.02 -0.02 -0.02 0 0 0 -0.02 ...
##  $ accel_belt_x        : int  -21 -20 -22 -21 -22 -22 -21 -21 -21 -20 ...
##  $ accel_belt_y        : int  4 5 3 2 3 2 2 4 5 5 ...
##  $ accel_belt_z        : int  22 23 21 24 21 23 22 23 21 21 ...
##  $ magnet_belt_x       : int  -3 -2 -6 -6 -4 -2 -1 0 1 -3 ...
##  $ magnet_belt_y       : int  599 600 604 600 599 602 597 592 600 603 ...
##  $ magnet_belt_z       : int  -313 -305 -310 -302 -311 -319 -310 -305 -316 -313 ...
##  $ roll_arm            : num  -128 -128 -128 -128 -128 -128 -129 -129 -129 -129 ...
##  $ pitch_arm           : num  22.5 22.5 22.1 22.1 21.9 21.5 21.4 21.3 21.2 21.2 ...
##  $ yaw_arm             : num  -161 -161 -161 -161 -161 -161 -161 -161 -161 -161 ...
##  $ total_accel_arm     : int  34 34 34 34 34 34 34 34 34 34 ...
##  $ gyros_arm_x         : num  0 0.02 0.02 0 0 0.02 0.02 0.02 0.02 0.02 ...
##  $ gyros_arm_y         : num  0 -0.02 -0.03 -0.03 -0.03 -0.03 0 0 -0.02 -0.02 ...
##  $ gyros_arm_z         : num  -0.02 -0.02 0.02 0 0 0 -0.03 -0.03 -0.03 -0.02 ...
##  $ accel_arm_x         : int  -288 -289 -289 -289 -289 -288 -289 -289 -288 -289 ...
##  $ accel_arm_y         : int  109 110 111 111 111 111 111 109 108 109 ...
##  $ accel_arm_z         : int  -123 -126 -123 -123 -125 -123 -124 -121 -124 -122 ...
##  $ magnet_arm_x        : int  -368 -368 -372 -374 -373 -363 -374 -367 -373 -369 ...
##  $ magnet_arm_y        : int  337 344 344 337 336 343 342 340 336 340 ...
##  $ magnet_arm_z        : int  516 513 512 506 509 520 510 509 510 509 ...
##  $ roll_dumbbell       : num  13.1 12.9 13.4 13.4 13.1 ...
##  $ pitch_dumbbell      : num  -70.5 -70.3 -70.4 -70.4 -70.2 ...
##  $ yaw_dumbbell        : num  -84.9 -85.1 -84.9 -84.9 -85.1 ...
##  $ total_accel_dumbbell: int  37 37 37 37 37 37 37 37 36 37 ...
##  $ gyros_dumbbell_x    : num  0 0 0 0 0 0 0 0 0.02 0 ...
##  $ gyros_dumbbell_y    : num  -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 ...
##  $ gyros_dumbbell_z    : num  0 0 -0.02 0 0 0 0 0 -0.02 -0.02 ...
##  $ accel_dumbbell_x    : int  -234 -232 -232 -233 -232 -233 -234 -233 -231 -233 ...
##  $ accel_dumbbell_y    : int  47 46 48 48 47 47 47 48 47 47 ...
##  $ accel_dumbbell_z    : int  -271 -270 -269 -270 -270 -270 -270 -271 -268 -271 ...
##  $ magnet_dumbbell_x   : int  -559 -561 -552 -554 -551 -554 -554 -554 -557 -559 ...
##  $ magnet_dumbbell_y   : int  293 298 303 292 295 291 294 297 292 295 ...
##  $ magnet_dumbbell_z   : num  -65 -63 -60 -68 -70 -65 -63 -73 -62 -74 ...
##  $ roll_forearm        : num  28.4 28.3 28.1 28 27.9 27.5 27.2 27.1 27 26.9 ...
##  $ pitch_forearm       : num  -63.9 -63.9 -63.9 -63.9 -63.9 -63.8 -63.9 -64 -64 -64 ...
##  $ yaw_forearm         : num  -153 -152 -152 -152 -152 -152 -151 -151 -151 -151 ...
##  $ total_accel_forearm : int  36 36 36 36 36 36 36 36 36 36 ...
##  $ gyros_forearm_x     : num  0.03 0.03 0.02 0.02 0.02 0.02 0 0.02 0.02 0.02 ...
##  $ gyros_forearm_y     : num  0 -0.02 -0.02 0 0 0.02 -0.02 0 0 0 ...
##  $ gyros_forearm_z     : num  -0.02 0 0 -0.02 -0.02 -0.03 -0.02 0 -0.02 -0.02 ...
##  $ accel_forearm_x     : int  192 196 189 189 195 191 192 194 192 192 ...
##  $ accel_forearm_y     : int  203 204 206 206 205 203 201 204 206 203 ...
##  $ accel_forearm_z     : int  -215 -213 -214 -214 -215 -215 -214 -215 -216 -216 ...
##  $ magnet_forearm_x    : int  -17 -18 -16 -17 -18 -11 -16 -13 -16 -10 ...
##  $ magnet_forearm_y    : num  654 658 658 655 659 657 656 656 653 657 ...
##  $ magnet_forearm_z    : num  476 469 469 473 470 478 472 471 472 466 ...
##  $ classe              : chr  "A" "A" "A" "A" ...
str(myTesting)
## 'data.frame':    7846 obs. of  53 variables:
##  $ roll_belt           : num  1.41 1.45 1.42 1.43 1.45 1.45 1.42 1.42 1.51 1.57 ...
##  $ pitch_belt          : num  8.07 8.06 8.13 8.16 8.17 8.18 8.2 8.21 8.12 8.09 ...
##  $ yaw_belt            : num  -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 -94.4 ...
##  $ total_accel_belt    : int  3 3 3 3 3 3 3 3 3 3 ...
##  $ gyros_belt_x        : num  0.02 0.02 0.02 0.02 0.03 0.03 0.02 0.02 0 0.02 ...
##  $ gyros_belt_y        : num  0 0 0 0 0 0 0 0 0 0.02 ...
##  $ gyros_belt_z        : num  -0.02 -0.02 -0.02 -0.02 0 -0.02 0 -0.02 -0.02 -0.02 ...
##  $ accel_belt_x        : int  -22 -21 -22 -20 -21 -21 -22 -22 -21 -21 ...
##  $ accel_belt_y        : int  4 4 4 2 4 2 4 4 4 3 ...
##  $ accel_belt_z        : int  22 21 21 24 22 23 21 21 22 21 ...
##  $ magnet_belt_x       : int  -7 0 -2 1 -3 -5 -3 -8 -6 -2 ...
##  $ magnet_belt_y       : int  608 603 603 602 609 596 606 598 598 604 ...
##  $ magnet_belt_z       : int  -311 -312 -313 -312 -308 -317 -309 -310 -317 -313 ...
##  $ roll_arm            : num  -128 -128 -128 -128 -128 -128 -128 -128 -129 -129 ...
##  $ pitch_arm           : num  22.5 22 21.8 21.7 21.6 21.5 21.4 21.4 21.3 20.8 ...
##  $ yaw_arm             : num  -161 -161 -161 -161 -161 -161 -161 -161 -161 -161 ...
##  $ total_accel_arm     : int  34 34 34 34 34 34 34 34 34 34 ...
##  $ gyros_arm_x         : num  0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.03 ...
##  $ gyros_arm_y         : num  -0.02 -0.03 -0.02 -0.03 -0.03 -0.03 -0.02 0 0 -0.02 ...
##  $ gyros_arm_z         : num  -0.02 0 0 -0.02 -0.02 0 -0.02 -0.03 -0.02 -0.02 ...
##  $ accel_arm_x         : int  -290 -289 -289 -288 -288 -290 -287 -288 -289 -289 ...
##  $ accel_arm_y         : int  110 111 111 109 110 110 111 111 110 111 ...
##  $ accel_arm_z         : int  -125 -122 -124 -122 -124 -123 -124 -124 -122 -123 ...
##  $ magnet_arm_x        : int  -369 -369 -372 -369 -376 -366 -372 -371 -371 -372 ...
##  $ magnet_arm_y        : int  337 342 338 341 334 339 338 331 337 338 ...
##  $ magnet_arm_z        : int  513 513 510 518 516 509 509 523 512 510 ...
##  $ roll_dumbbell       : num  13.1 13.4 12.8 13.2 13.3 ...
##  $ pitch_dumbbell      : num  -70.6 -70.8 -70.3 -70.4 -70.9 ...
##  $ yaw_dumbbell        : num  -84.7 -84.5 -85.1 -84.9 -84.4 ...
##  $ total_accel_dumbbell: int  37 37 37 37 37 37 37 37 37 37 ...
##  $ gyros_dumbbell_x    : num  0 0 0 0 0 0 0 0.02 0 0 ...
##  $ gyros_dumbbell_y    : num  -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 -0.02 ...
##  $ gyros_dumbbell_z    : num  0 0 0 0 0 0 -0.02 -0.02 0 0 ...
##  $ accel_dumbbell_x    : int  -233 -234 -234 -232 -235 -233 -234 -234 -233 -233 ...
##  $ accel_dumbbell_y    : int  47 48 46 47 48 47 48 48 47 48 ...
##  $ accel_dumbbell_z    : int  -269 -269 -272 -269 -270 -269 -269 -268 -272 -270 ...
##  $ magnet_dumbbell_x   : int  -555 -558 -555 -549 -558 -564 -552 -554 -551 -554 ...
##  $ magnet_dumbbell_y   : int  296 294 300 292 291 299 302 295 296 301 ...
##  $ magnet_dumbbell_z   : num  -64 -66 -74 -65 -69 -64 -69 -68 -56 -65 ...
##  $ roll_forearm        : num  28.3 27.9 27.8 27.7 27.7 27.6 27.2 27.2 27.1 27 ...
##  $ pitch_forearm       : num  -63.9 -63.9 -63.8 -63.8 -63.8 -63.8 -63.9 -63.9 -64 -63.9 ...
##  $ yaw_forearm         : num  -153 -152 -152 -152 -152 -152 -151 -151 -151 -151 ...
##  $ total_accel_forearm : int  36 36 36 36 36 36 36 36 36 36 ...
##  $ gyros_forearm_x     : num  0.02 0.02 0.02 0.03 0.02 0.02 0 0 0.02 0.02 ...
##  $ gyros_forearm_y     : num  0 -0.02 -0.02 0 0 -0.02 0 -0.02 -0.02 -0.03 ...
##  $ gyros_forearm_z     : num  -0.02 -0.03 0 -0.02 -0.02 -0.02 -0.03 -0.03 0 -0.02 ...
##  $ accel_forearm_x     : int  192 193 193 193 190 193 193 193 192 191 ...
##  $ accel_forearm_y     : int  203 203 205 204 205 205 205 202 204 206 ...
##  $ accel_forearm_z     : int  -216 -215 -213 -214 -215 -214 -215 -214 -213 -213 ...
##  $ magnet_forearm_x    : int  -18 -9 -9 -16 -22 -17 -15 -14 -13 -17 ...
##  $ magnet_forearm_y    : num  661 660 660 653 656 657 655 659 653 654 ...
##  $ magnet_forearm_z    : num  473 478 474 476 473 465 472 478 481 478 ...
##  $ classe              : chr  "A" "A" "A" "A" ...
p1 <- ggplot(myTraining, aes(x=as.factor(classe), fill = classe))+ geom_bar() + labs(title = "Levels of variable class within Training dataset") + labs(x = "Classe", y = "Frequency")
g <- ggplotly(p1)
g

Cleaning the data.

The following transformations were used to clean the data:

Transformation 1: Cleaning NearZeroVariance Variables Run this code to view possible NZV Variables:

myDataNZV <- nearZeroVar(myTraining, saveMetrics=TRUE)

Machine Learning algorithms for prediction:

1. Decision Tree

modFitA1 <- rpart(classe ~ ., data=myTraining, method="class")
fancyRpartPlot(modFitA1, main="Decision Tree")

## Predicting:

predictionsA1 <- predict(modFitA1, myTesting, type = "class")

Confusion Matrix to test results:

confusionMatrix(predictionsA1, as.factor(myTesting$classe))
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    A    B    C    D    E
##          A 2037  335   40  162   67
##          B   59  758   85   38   87
##          C   55  142 1118  234  155
##          D   40  113   82  696   61
##          E   41  170   43  156 1072
## 
## Overall Statistics
##                                          
##                Accuracy : 0.7241         
##                  95% CI : (0.714, 0.7339)
##     No Information Rate : 0.2845         
##     P-Value [Acc > NIR] : < 2.2e-16      
##                                          
##                   Kappa : 0.6488         
##                                          
##  Mcnemar's Test P-Value : < 2.2e-16      
## 
## Statistics by Class:
## 
##                      Class: A Class: B Class: C Class: D Class: E
## Sensitivity            0.9126  0.49934   0.8173  0.54121   0.7434
## Specificity            0.8924  0.95749   0.9095  0.95488   0.9360
## Pos Pred Value         0.7713  0.73807   0.6561  0.70161   0.7233
## Neg Pred Value         0.9625  0.88855   0.9593  0.91392   0.9419
## Prevalence             0.2845  0.19347   0.1744  0.16391   0.1838
## Detection Rate         0.2596  0.09661   0.1425  0.08871   0.1366
## Detection Prevalence   0.3366  0.13089   0.2172  0.12643   0.1889
## Balanced Accuracy      0.9025  0.72842   0.8634  0.74805   0.8397

2. Random Forest.

myTraining$classe = factor(myTraining$classe)
modFitB1 <- randomForest(classe ~. , data=myTraining, method="class")
getTree(modFitB1, 1, labelVar=TRUE)
##      left daughter right daughter            split var split point status
## 1                2              3     total_accel_belt   20.500000      1
## 2                4              5     accel_dumbbell_y  -38.500000      1
## 3                6              7         magnet_arm_x -396.500000      1
## 4                8              9             yaw_belt    9.145000      1
## 5               10             11    magnet_dumbbell_y  422.500000      1
## 6               12             13         roll_forearm  101.250000      1
## 7               14             15      accel_forearm_y -385.000000      1
## 8               16             17         gyros_belt_y   -0.010000      1
## 9                0              0                 <NA>    0.000000     -1
## 10              18             19         roll_forearm  121.500000      1
## 11              20             21         gyros_belt_z   -0.270000      1
## 12              22             23     magnet_forearm_y  722.000000      1
## 13              24             25        magnet_belt_z -403.500000      1
## 14              26             27     gyros_dumbbell_x    0.215000      1
## 15              28             29            roll_belt  128.000000      1
## 16              30             31    magnet_dumbbell_y -615.000000      1
## 17              32             33    magnet_dumbbell_y  392.500000      1
## 18              34             35         roll_forearm    0.010000      1
## 19              36             37        magnet_belt_z -384.000000      1
## 20              38             39        roll_dumbbell  125.645524      1
## 21              40             41        pitch_forearm   46.650000      1
## 22               0              0                 <NA>    0.000000     -1
## 23               0              0                 <NA>    0.000000     -1
## 24               0              0                 <NA>    0.000000     -1
## 25               0              0                 <NA>    0.000000     -1
## 26               0              0                 <NA>    0.000000     -1
## 27               0              0                 <NA>    0.000000     -1
## 28              42             43     gyros_dumbbell_y    0.015000      1
## 29               0              0                 <NA>    0.000000     -1
## 30              44             45           pitch_belt   26.050000      1
## 31              46             47             roll_arm   32.750000      1
## 32              48             49    magnet_dumbbell_z   -6.500000      1
## 33              50             51          yaw_forearm  139.500000      1
## 34              52             53            pitch_arm   12.250000      1
## 35              54             55      accel_forearm_z    3.500000      1
## 36              56             57     magnet_forearm_z -300.000000      1
## 37              58             59         magnet_arm_y  271.500000      1
## 38              60             61         yaw_dumbbell   78.388110      1
## 39              62             63              yaw_arm  -26.050000      1
## 40              64             65            roll_belt   -0.580000      1
## 41              66             67      accel_forearm_z  -94.500000      1
## 42              68             69          accel_arm_x    5.500000      1
## 43              70             71        pitch_forearm   36.850000      1
## 44              72             73        pitch_forearm   -7.430000      1
## 45              74             75     magnet_forearm_y -625.500000      1
## 46              76             77              yaw_arm   68.935000      1
## 47              78             79    magnet_dumbbell_y -550.000000      1
## 48              80             81  total_accel_forearm   22.000000      1
## 49              82             83     gyros_dumbbell_x    0.645000      1
## 50              84             85             yaw_belt   -2.405000      1
## 51              86             87         magnet_arm_z  552.500000      1
## 52              88             89             yaw_belt  170.500000      1
## 53              90             91         magnet_arm_z  589.500000      1
## 54              92             93          gyros_arm_y   -1.020000      1
## 55              94             95         roll_forearm   28.500000      1
## 56              96             97        pitch_forearm   18.850000      1
## 57              98             99     gyros_dumbbell_y   -0.715000      1
## 58             100            101        pitch_forearm    9.995000      1
## 59             102            103        roll_dumbbell   61.749287      1
## 60               0              0                 <NA>    0.000000     -1
## 61               0              0                 <NA>    0.000000     -1
## 62               0              0                 <NA>    0.000000     -1
## 63               0              0                 <NA>    0.000000     -1
## 64               0              0                 <NA>    0.000000     -1
## 65             104            105         gyros_belt_z    0.075000      1
## 66             106            107     accel_dumbbell_x -105.500000      1
## 67             108            109        magnet_belt_z -347.500000      1
## 68               0              0                 <NA>    0.000000     -1
## 69             110            111       pitch_dumbbell   -4.379257      1
## 70               0              0                 <NA>    0.000000     -1
## 71               0              0                 <NA>    0.000000     -1
## 72               0              0                 <NA>    0.000000     -1
## 73             112            113          accel_arm_x  322.000000      1
## 74               0              0                 <NA>    0.000000     -1
## 75             114            115      total_accel_arm    3.500000      1
## 76               0              0                 <NA>    0.000000     -1
## 77               0              0                 <NA>    0.000000     -1
## 78             116            117         yaw_dumbbell   99.866251      1
## 79             118            119      accel_forearm_y   81.000000      1
## 80             120            121        magnet_belt_y  589.500000      1
## 81             122            123     magnet_forearm_x -489.500000      1
## 82             124            125            roll_belt    1.650000      1
## 83             126            127         magnet_arm_z  122.000000      1
## 84               0              0                 <NA>    0.000000     -1
## 85             128            129      gyros_forearm_z   -0.590000      1
## 86             130            131      gyros_forearm_y    0.050000      1
## 87               0              0                 <NA>    0.000000     -1
## 88             132            133        pitch_forearm   -0.025000      1
## 89             134            135           pitch_belt  -45.000000      1
## 90             136            137    magnet_dumbbell_z   50.500000      1
## 91             138            139          accel_arm_z   36.500000      1
## 92             140            141    magnet_dumbbell_x -549.500000      1
## 93             142            143     magnet_forearm_z 1007.500000      1
## 94             144            145        magnet_belt_x    5.000000      1
## 95             146            147    magnet_dumbbell_z  -56.000000      1
## 96             148            149        roll_dumbbell   59.533164      1
## 97             150            151          accel_arm_y   71.000000      1
## 98             152            153          accel_arm_x  135.500000      1
## 99             154            155 total_accel_dumbbell    5.500000      1
## 100            156            157             yaw_belt  -88.050000      1
## 101            158            159             yaw_belt  -87.750000      1
## 102            160            161        magnet_belt_x   -6.000000      1
## 103            162            163 total_accel_dumbbell    4.500000      1
## 104            164            165         magnet_arm_z -268.500000      1
## 105            166            167           pitch_belt    6.540000      1
## 106              0              0                 <NA>    0.000000     -1
## 107            168            169        magnet_belt_x   -6.000000      1
## 108              0              0                 <NA>    0.000000     -1
## 109            170            171         accel_belt_x  -13.500000      1
## 110              0              0                 <NA>    0.000000     -1
## 111              0              0                 <NA>    0.000000     -1
## 112            172            173          accel_arm_z  162.500000      1
## 113              0              0                 <NA>    0.000000     -1
## 114              0              0                 <NA>    0.000000     -1
## 115              0              0                 <NA>    0.000000     -1
## 116            174            175         magnet_arm_z  504.500000      1
## 117              0              0                 <NA>    0.000000     -1
## 118            176            177        magnet_belt_y  600.500000      1
## 119            178            179          accel_arm_y  -70.000000      1
## 120              0              0                 <NA>    0.000000     -1
## 121              0              0                 <NA>    0.000000     -1
## 122            180            181         magnet_arm_z  262.000000      1
## 123            182            183        magnet_belt_y  572.500000      1
## 124            184            185         accel_belt_x    0.500000      1
## 125            186            187         yaw_dumbbell    5.355440      1
## 126              0              0                 <NA>    0.000000     -1
## 127              0              0                 <NA>    0.000000     -1
## 128            188            189             yaw_belt    4.185000      1
## 129            190            191             roll_arm  -36.200000      1
## 130              0              0                 <NA>    0.000000     -1
## 131              0              0                 <NA>    0.000000     -1
## 132              0              0                 <NA>    0.000000     -1
## 133            192            193     accel_dumbbell_z   26.500000      1
## 134            194            195        magnet_belt_x  180.500000      1
## 135              0              0                 <NA>    0.000000     -1
## 136            196            197           pitch_belt  -42.350000      1
## 137            198            199     magnet_forearm_y  323.500000      1
## 138            200            201     magnet_forearm_x   79.500000      1
## 139            202            203             roll_arm  -21.150000      1
## 140              0              0                 <NA>    0.000000     -1
## 141            204            205     gyros_dumbbell_y   -0.450000      1
## 142            206            207  total_accel_forearm   36.500000      1
## 143              0              0                 <NA>    0.000000     -1
## 144              0              0                 <NA>    0.000000     -1
## 145            208            209        magnet_belt_z -308.500000      1
## 146            210            211         accel_belt_z -159.500000      1
## 147            212            213    magnet_dumbbell_x -460.500000      1
## 148            214            215         gyros_belt_z   -0.090000      1
## 149            216            217      accel_forearm_x  -90.500000      1
## 150            218            219         gyros_belt_x    0.085000      1
## 151              0              0                 <NA>    0.000000     -1
## 152            220            221        roll_dumbbell   55.842545      1
## 153              0              0                 <NA>    0.000000     -1
## 154            222            223             yaw_belt  -90.450000      1
## 155            224            225         magnet_arm_y  278.500000      1
## 156            226            227         accel_belt_z   30.500000      1
## 157            228            229      total_accel_arm   14.500000      1
## 158            230            231       pitch_dumbbell  -52.500100      1
## 159            232            233      gyros_forearm_z    1.225000      1
## 160            234            235             roll_arm   50.750000      1
## 161            236            237     accel_dumbbell_z -209.500000      1
## 162            238            239     gyros_dumbbell_y   -0.760000      1
## 163            240            241        magnet_belt_x   68.500000      1
## 164            242            243        magnet_belt_z -385.500000      1
## 165            244            245      accel_forearm_x -420.500000      1
## 166              0              0                 <NA>    0.000000     -1
## 167            246            247      total_accel_arm   24.500000      1
## 168            248            249         magnet_arm_y -194.000000      1
## 169            250            251             yaw_belt  -88.100000      1
## 170              0              0                 <NA>    0.000000     -1
## 171              0              0                 <NA>    0.000000     -1
## 172            252            253         magnet_arm_z  392.000000      1
## 173            254            255        pitch_forearm   40.950000      1
## 174              0              0                 <NA>    0.000000     -1
## 175            256            257     gyros_dumbbell_x    0.275000      1
## 176            258            259  total_accel_forearm   27.000000      1
## 177              0              0                 <NA>    0.000000     -1
## 178              0              0                 <NA>    0.000000     -1
## 179            260            261     magnet_forearm_x -600.500000      1
## 180              0              0                 <NA>    0.000000     -1
## 181            262            263              yaw_arm   37.850000      1
## 182              0              0                 <NA>    0.000000     -1
## 183            264            265      accel_forearm_z   -7.500000      1
## 184            266            267         gyros_belt_z    0.040000      1
## 185              0              0                 <NA>    0.000000     -1
## 186            268            269          accel_arm_y  180.000000      1
## 187            270            271         accel_belt_y   65.500000      1
## 188              0              0                 <NA>    0.000000     -1
## 189              0              0                 <NA>    0.000000     -1
## 190              0              0                 <NA>    0.000000     -1
## 191            272            273        pitch_forearm   46.900000      1
## 192            274            275        magnet_belt_y  600.500000      1
## 193            276            277        magnet_belt_x   40.500000      1
## 194              0              0                 <NA>    0.000000     -1
## 195            278            279     gyros_dumbbell_z    0.485000      1
## 196            280            281        magnet_belt_z -310.500000      1
## 197            282            283     magnet_forearm_y  675.500000      1
## 198            284            285      accel_forearm_x   11.000000      1
## 199            286            287             yaw_belt  167.500000      1
## 200            288            289         magnet_arm_y  278.500000      1
## 201            290            291              yaw_arm    1.050000      1
## 202            292            293  total_accel_forearm   46.500000      1
## 203            294            295           pitch_belt  -42.550000      1
## 204              0              0                 <NA>    0.000000     -1
## 205            296            297     magnet_forearm_z  546.500000      1
## 206            298            299          accel_arm_y -129.500000      1
## 207            300            301     gyros_dumbbell_z    0.305000      1
## 208            302            303        magnet_belt_z -320.500000      1
## 209            304            305         gyros_belt_x    0.050000      1
## 210              0              0                 <NA>    0.000000     -1
## 211            306            307            roll_belt  118.000000      1
## 212              0              0                 <NA>    0.000000     -1
## 213              0              0                 <NA>    0.000000     -1
## 214            308            309             roll_arm   91.650000      1
## 215            310            311  total_accel_forearm   45.000000      1
## 216              0              0                 <NA>    0.000000     -1
## 217              0              0                 <NA>    0.000000     -1
## 218              0              0                 <NA>    0.000000     -1
## 219              0              0                 <NA>    0.000000     -1
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## 221              0              0                 <NA>    0.000000     -1
## 222              0              0                 <NA>    0.000000     -1
## 223            312            313    magnet_dumbbell_y  224.000000      1
## 224            314            315        magnet_belt_z -477.000000      1
## 225            316            317     accel_dumbbell_x   82.000000      1
## 226            318            319     accel_dumbbell_x    2.500000      1
## 227            320            321     magnet_forearm_x  -25.500000      1
## 228            322            323          accel_arm_x   26.500000      1
## 229            324            325            roll_belt    0.000000      1
## 230            326            327    magnet_dumbbell_y  333.500000      1
## 231            328            329        roll_dumbbell    2.826544      1
## 232            330            331     total_accel_belt    2.500000      1
## 233            332            333            pitch_arm  -12.360000      1
## 234              0              0                 <NA>    0.000000     -1
## 235              0              0                 <NA>    0.000000     -1
## 236            334            335    magnet_dumbbell_z   14.500000      1
## 237            336            337     magnet_forearm_y  -91.000000      1
## 238              0              0                 <NA>    0.000000     -1
## 239            338            339         accel_belt_z   24.500000      1
## 240            340            341     gyros_dumbbell_y    1.040000      1
## 241              0              0                 <NA>    0.000000     -1
## 242              0              0                 <NA>    0.000000     -1
## 243            342            343            roll_belt    0.650000      1
## 244            344            345          accel_arm_x  -46.500000      1
## 245            346            347         yaw_dumbbell  -10.095825      1
## 246              0              0                 <NA>    0.000000     -1
## 247              0              0                 <NA>    0.000000     -1
## 248              0              0                 <NA>    0.000000     -1
## 249              0              0                 <NA>    0.000000     -1
## 250              0              0                 <NA>    0.000000     -1
## 251              0              0                 <NA>    0.000000     -1
## 252            348            349           pitch_belt   25.400000      1
## 253              0              0                 <NA>    0.000000     -1
## 254              0              0                 <NA>    0.000000     -1
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## 258              0              0                 <NA>    0.000000     -1
## 259              0              0                 <NA>    0.000000     -1
## 260            350            351          gyros_arm_x   -1.610000      1
## 261              0              0                 <NA>    0.000000     -1
## 262            352            353      accel_forearm_z   60.500000      1
## 263              0              0                 <NA>    0.000000     -1
## 264            354            355     total_accel_belt    2.500000      1
## 265              0              0                 <NA>    0.000000     -1
## 266            356            357      gyros_forearm_y   -3.635000      1
## 267              0              0                 <NA>    0.000000     -1
## 268              0              0                 <NA>    0.000000     -1
## 269              0              0                 <NA>    0.000000     -1
## 270              0              0                 <NA>    0.000000     -1
## 271              0              0                 <NA>    0.000000     -1
## 272              0              0                 <NA>    0.000000     -1
## 273              0              0                 <NA>    0.000000     -1
## 274            358            359        magnet_belt_y  552.500000      1
## 275            360            361              yaw_arm  -66.900000      1
## 276            362            363             roll_arm  -12.880000      1
## 277            364            365         gyros_belt_y    0.235000      1
## 278              0              0                 <NA>    0.000000     -1
## 279              0              0                 <NA>    0.000000     -1
## 280            366            367     magnet_forearm_y  767.000000      1
## 281            368            369              yaw_arm  -40.500000      1
## 282            370            371     magnet_forearm_x  314.000000      1
## 283            372            373          gyros_arm_x   -0.915000      1
## 284            374            375      total_accel_arm   30.500000      1
## 285              0              0                 <NA>    0.000000     -1
## 286            376            377        pitch_forearm  -40.600000      1
## 287              0              0                 <NA>    0.000000     -1
## 288            378            379           pitch_belt   17.900000      1
## 289            380            381      accel_forearm_z  -18.500000      1
## 290            382            383      gyros_forearm_z   -0.305000      1
## 291              0              0                 <NA>    0.000000     -1
## 292            384            385     gyros_dumbbell_x   -0.190000      1
## 293            386            387        magnet_belt_x   20.500000      1
## 294            388            389             roll_arm   19.300000      1
## 295            390            391              yaw_arm  -77.250000      1
## 296            392            393      accel_forearm_z  -19.000000      1
## 297            394            395    magnet_dumbbell_y -544.500000      1
## 298              0              0                 <NA>    0.000000     -1
## 299            396            397         gyros_belt_z   -0.295000      1
## 300            398            399    magnet_dumbbell_x -557.500000      1
## 301            400            401         roll_forearm   91.200000      1
## 302            402            403        roll_dumbbell  -86.934694      1
## 303            404            405     gyros_dumbbell_x   -0.020000      1
## 304              0              0                 <NA>    0.000000     -1
## 305              0              0                 <NA>    0.000000     -1
## 306              0              0                 <NA>    0.000000     -1
## 307              0              0                 <NA>    0.000000     -1
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## 309              0              0                 <NA>    0.000000     -1
## 310              0              0                 <NA>    0.000000     -1
## 311              0              0                 <NA>    0.000000     -1
## 312            406            407           pitch_belt    1.040000      1
## 313            408            409          gyros_arm_x    1.320000      1
## 314              0              0                 <NA>    0.000000     -1
## 315            410            411         yaw_dumbbell  113.246358      1
## 316            412            413      gyros_forearm_z    1.320000      1
## 317              0              0                 <NA>    0.000000     -1
## 318            414            415     accel_dumbbell_z   -3.500000      1
## 319            416            417         magnet_arm_z  394.500000      1
## 320            418            419         roll_forearm  131.000000      1
## 321            420            421      accel_forearm_y  163.500000      1
## 322            422            423          gyros_arm_z    0.190000      1
## 323              0              0                 <NA>    0.000000     -1
## 324            424            425    magnet_dumbbell_z  192.000000      1
## 325            426            427         magnet_arm_y  264.000000      1
## 326            428            429        pitch_forearm   39.000000      1
## 327            430            431    magnet_dumbbell_y  362.000000      1
## 328            432            433         yaw_dumbbell   12.908844      1
## 329            434            435         magnet_arm_z -346.500000      1
## 330              0              0                 <NA>    0.000000     -1
## 331            436            437            roll_belt  122.500000      1
## 332              0              0                 <NA>    0.000000     -1
## 333              0              0                 <NA>    0.000000     -1
## 334              0              0                 <NA>    0.000000     -1
## 335            438            439          gyros_arm_y   -0.080000      1
## 336            440            441        magnet_belt_x   55.500000      1
## 337            442            443        pitch_forearm   56.600000      1
## 338              0              0                 <NA>    0.000000     -1
## 339              0              0                 <NA>    0.000000     -1
## 340            444            445         roll_forearm  133.500000      1
## 341            446            447          gyros_arm_y   -0.325000      1
## 342            448            449          gyros_arm_y    0.355000      1
## 343            450            451        magnet_belt_y  540.000000      1
## 344            452            453         accel_belt_z -162.000000      1
## 345            454            455     magnet_forearm_y -464.500000      1
## 346            456            457     accel_dumbbell_y   37.500000      1
## 347            458            459            roll_belt  117.500000      1
## 348              0              0                 <NA>    0.000000     -1
## 349            460            461         magnet_arm_y  268.500000      1
## 350              0              0                 <NA>    0.000000     -1
## 351              0              0                 <NA>    0.000000     -1
## 352              0              0                 <NA>    0.000000     -1
## 353              0              0                 <NA>    0.000000     -1
## 354              0              0                 <NA>    0.000000     -1
## 355              0              0                 <NA>    0.000000     -1
## 356            462            463        pitch_forearm   21.200000      1
## 357              0              0                 <NA>    0.000000     -1
## 358            464            465     magnet_forearm_z -109.500000      1
## 359            466            467      accel_forearm_y  241.000000      1
## 360            468            469          accel_arm_x -176.500000      1
## 361            470            471           pitch_belt  -42.550000      1
## 362            472            473              yaw_arm   23.950000      1
## 363            474            475        roll_dumbbell   39.482599      1
## 364            476            477     gyros_dumbbell_y    0.300000      1
## 365              0              0                 <NA>    0.000000     -1
## 366            478            479            pitch_arm   47.950000      1
## 367            480            481         accel_belt_z -160.000000      1
## 368            482            483            pitch_arm   76.850000      1
## 369              0              0                 <NA>    0.000000     -1
## 370            484            485    magnet_dumbbell_z  -16.000000      1
## 371              0              0                 <NA>    0.000000     -1
## 372            486            487          gyros_arm_x   -1.110000      1
## 373            488            489        magnet_belt_z -348.000000      1
## 374            490            491         accel_belt_y   44.500000      1
## 375              0              0                 <NA>    0.000000     -1
## 376              0              0                 <NA>    0.000000     -1
## 377            492            493        magnet_belt_y  541.500000      1
## 378              0              0                 <NA>    0.000000     -1
## 379              0              0                 <NA>    0.000000     -1
## 380            494            495      gyros_forearm_x   -0.575000      1
## 381            496            497    magnet_dumbbell_z -165.500000      1
## 382              0              0                 <NA>    0.000000     -1
## 383              0              0                 <NA>    0.000000     -1
## 384            498            499       pitch_dumbbell   -1.709976      1
## 385              0              0                 <NA>    0.000000     -1
## 386              0              0                 <NA>    0.000000     -1
## 387            500            501      accel_forearm_z   21.500000      1
## 388            502            503         gyros_belt_x    0.105000      1
## 389            504            505    magnet_dumbbell_x -532.500000      1
## 390            506            507          gyros_arm_x   -1.980000      1
## 391            508            509        magnet_belt_x   82.500000      1
## 392              0              0                 <NA>    0.000000     -1
## 393              0              0                 <NA>    0.000000     -1
## 394            510            511     magnet_forearm_y  760.000000      1
## 395              0              0                 <NA>    0.000000     -1
## 396            512            513     magnet_forearm_z  791.000000      1
## 397            514            515      gyros_forearm_z    1.385000      1
## 398              0              0                 <NA>    0.000000     -1
## 399            516            517            pitch_arm  -34.450000      1
## 400              0              0                 <NA>    0.000000     -1
## 401              0              0                 <NA>    0.000000     -1
## 402            518            519      accel_forearm_y  129.000000      1
## 403              0              0                 <NA>    0.000000     -1
## 404            520            521      gyros_forearm_z   -1.090000      1
## 405            522            523      gyros_forearm_y    1.390000      1
## 406              0              0                 <NA>    0.000000     -1
## 407            524            525      total_accel_arm   38.000000      1
## 408            526            527        pitch_forearm    7.035000      1
## 409              0              0                 <NA>    0.000000     -1
## 410            528            529    magnet_dumbbell_z  410.500000      1
## 411            530            531            roll_belt   65.780000      1
## 412            532            533      gyros_forearm_y    2.265000      1
## 413              0              0                 <NA>    0.000000     -1
## 414            534            535          accel_arm_z  -30.500000      1
## 415            536            537     total_accel_belt    3.500000      1
## 416              0              0                 <NA>    0.000000     -1
## 417            538            539     accel_dumbbell_z   34.500000      1
## 418            540            541         magnet_arm_z  136.500000      1
## 419            542            543            roll_belt    1.050000      1
## 420              0              0                 <NA>    0.000000     -1
## 421            544            545          accel_arm_x   34.000000      1
## 422              0              0                 <NA>    0.000000     -1
## 423              0              0                 <NA>    0.000000     -1
## 424              0              0                 <NA>    0.000000     -1
## 425              0              0                 <NA>    0.000000     -1
## 426            546            547        pitch_forearm   -1.605000      1
## 427              0              0                 <NA>    0.000000     -1
## 428              0              0                 <NA>    0.000000     -1
## 429            548            549        magnet_belt_y  626.000000      1
## 430            550            551        magnet_belt_x   38.500000      1
## 431              0              0                 <NA>    0.000000     -1
## 432              0              0                 <NA>    0.000000     -1
## 433            552            553          gyros_arm_z   -0.630000      1
## 434            554            555             roll_arm  142.500000      1
## 435            556            557      total_accel_arm   14.500000      1
## 436            558            559          gyros_arm_y    1.570000      1
## 437            560            561  total_accel_forearm   31.000000      1
## 438            562            563      gyros_forearm_y   -3.695000      1
## 439            564            565           pitch_belt    5.040000      1
## 440              0              0                 <NA>    0.000000     -1
## 441            566            567         magnet_arm_x -110.000000      1
## 442            568            569        pitch_forearm  -22.650000      1
## 443            570            571          accel_arm_y   22.000000      1
## 444            572            573     gyros_dumbbell_x    0.620000      1
## 445            574            575     accel_dumbbell_y  219.500000      1
## 446              0              0                 <NA>    0.000000     -1
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## 448            576            577      gyros_forearm_z   -0.060000      1
## 449              0              0                 <NA>    0.000000     -1
## 450              0              0                 <NA>    0.000000     -1
## 451            578            579      accel_forearm_x -341.000000      1
## 452              0              0                 <NA>    0.000000     -1
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## 456            580            581        pitch_forearm   12.250000      1
## 457            582            583              yaw_arm  -67.300000      1
## 458            584            585           pitch_belt    5.640000      1
## 459            586            587     gyros_dumbbell_y   -0.235000      1
## 460              0              0                 <NA>    0.000000     -1
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## 462              0              0                 <NA>    0.000000     -1
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## 464            588            589         magnet_arm_x  647.000000      1
## 465              0              0                 <NA>    0.000000     -1
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## 468            594            595          accel_arm_y  -41.500000      1
## 469            596            597      gyros_forearm_x    0.355000      1
## 470            598            599        magnet_belt_z -323.000000      1
## 471            600            601        roll_dumbbell   57.907279      1
## 472            602            603    magnet_dumbbell_y  379.500000      1
## 473              0              0                 <NA>    0.000000     -1
## 474            604            605          accel_arm_x  292.500000      1
## 475            606            607        magnet_belt_z -398.500000      1
## 476            608            609     gyros_dumbbell_x   -0.385000      1
## 477            610            611     magnet_forearm_y  779.000000      1
## 478            612            613      gyros_forearm_z    0.845000      1
## 479              0              0                 <NA>    0.000000     -1
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## 481            614            615      accel_forearm_x  -30.000000      1
## 482            616            617      total_accel_arm    8.500000      1
## 483              0              0                 <NA>    0.000000     -1
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## 485            620            621           pitch_belt  -38.850000      1
## 486              0              0                 <NA>    0.000000     -1
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## 513              0              0                 <NA>    0.000000     -1
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## 515              0              0                 <NA>    0.000000     -1
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## 527            654            655      gyros_forearm_y    2.370000      1
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## 544            666            667          accel_arm_z  -77.000000      1
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## 547            670            671    magnet_dumbbell_x  535.500000      1
## 548              0              0                 <NA>    0.000000     -1
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## 561            686            687     gyros_dumbbell_x    0.475000      1
## 562              0              0                 <NA>    0.000000     -1
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## 582            704            705         accel_belt_x   -9.000000      1
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## 584            708            709         accel_belt_y   10.500000      1
## 585            710            711      gyros_forearm_x   -0.700000      1
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## 590            714            715      accel_forearm_z   29.500000      1
## 591              0              0                 <NA>    0.000000     -1
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## 609            740            741         gyros_belt_z   -0.945000      1
## 610            742            743     gyros_dumbbell_z    0.170000      1
## 611            744            745     magnet_forearm_y 1195.000000      1
## 612              0              0                 <NA>    0.000000     -1
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## 622            756            757         accel_belt_x   18.500000      1
## 623              0              0                 <NA>    0.000000     -1
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## 625            758            759          gyros_arm_z    0.115000      1
## 626              0              0                 <NA>    0.000000     -1
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## 630              0              0                 <NA>    0.000000     -1
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## 634              0              0                 <NA>    0.000000     -1
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## 643              0              0                 <NA>    0.000000     -1
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## 645              0              0                 <NA>    0.000000     -1
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## 654            778            779          accel_arm_x  110.500000      1
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## 668            786            787         magnet_arm_y  103.500000      1
## 669              0              0                 <NA>    0.000000     -1
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## 671            790            791      accel_forearm_z -167.500000      1
## 672              0              0                 <NA>    0.000000     -1
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## 674            794            795    magnet_dumbbell_x -550.000000      1
## 675            796            797     gyros_dumbbell_y    0.015000      1
## 676              0              0                 <NA>    0.000000     -1
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## 683              0              0                 <NA>    0.000000     -1
## 684              0              0                 <NA>    0.000000     -1
## 685              0              0                 <NA>    0.000000     -1
## 686            808            809          accel_arm_y   -8.500000      1
## 687              0              0                 <NA>    0.000000     -1
## 688              0              0                 <NA>    0.000000     -1
## 689            810            811     accel_dumbbell_y  150.500000      1
## 690              0              0                 <NA>    0.000000     -1
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## 694            812            813      gyros_forearm_x    1.025000      1
## 695            814            815         magnet_arm_y  451.000000      1
## 696            816            817    magnet_dumbbell_y  310.000000      1
## 697              0              0                 <NA>    0.000000     -1
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## 699            820            821         magnet_arm_z  555.500000      1
## 700              0              0                 <NA>    0.000000     -1
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## 703            822            823         accel_belt_y   60.000000      1
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## 708            832            833     accel_dumbbell_z   11.000000      1
## 709              0              0                 <NA>    0.000000     -1
## 710            834            835    magnet_dumbbell_z  -33.000000      1
## 711              0              0                 <NA>    0.000000     -1
## 712              0              0                 <NA>    0.000000     -1
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## 714            836            837 total_accel_dumbbell   10.500000      1
## 715            838            839    magnet_dumbbell_z   28.000000      1
## 716            840            841         accel_belt_x   -8.500000      1
## 717            842            843            roll_belt    1.745000      1
## 718              0              0                 <NA>    0.000000     -1
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## 722              0              0                 <NA>    0.000000     -1
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## 724            848            849     magnet_forearm_z  880.500000      1
## 725            850            851           pitch_belt  -43.550000      1
## 726            852            853    magnet_dumbbell_y  266.500000      1
## 727            854            855             roll_arm   88.750000      1
## 728            856            857         accel_belt_y   55.500000      1
## 729            858            859             yaw_belt  154.500000      1
## 730            860            861      total_accel_arm   19.500000      1
## 731            862            863     gyros_dumbbell_z   -0.510000      1
## 732              0              0                 <NA>    0.000000     -1
## 733            864            865     accel_dumbbell_y  -25.500000      1
## 734            866            867           pitch_belt    3.850000      1
## 735            868            869          accel_arm_y  188.500000      1
## 736            870            871         accel_belt_z   29.000000      1
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## 738              0              0                 <NA>    0.000000     -1
## 739            874            875            roll_belt    1.760000      1
## 740              0              0                 <NA>    0.000000     -1
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## 743              0              0                 <NA>    0.000000     -1
## 744            880            881           pitch_belt    0.090000      1
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## 749            884            885         roll_forearm  -34.100000      1
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## 751              0              0                 <NA>    0.000000     -1
## 752              0              0                 <NA>    0.000000     -1
## 753              0              0                 <NA>    0.000000     -1
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## 755              0              0                 <NA>    0.000000     -1
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## 759            890            891        magnet_belt_z -293.500000      1
## 760              0              0                 <NA>    0.000000     -1
## 761            892            893        magnet_belt_x  180.500000      1
## 762            894            895        magnet_belt_x  163.500000      1
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## 764              0              0                 <NA>    0.000000     -1
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## 769              0              0                 <NA>    0.000000     -1
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## 771            898            899     magnet_forearm_x -494.500000      1
## 772              0              0                 <NA>    0.000000     -1
## 773            900            901          accel_arm_x  136.000000      1
## 774              0              0                 <NA>    0.000000     -1
## 775            902            903          gyros_arm_x   -0.275000      1
## 776            904            905         gyros_belt_x   -0.120000      1
## 777            906            907       pitch_dumbbell  -14.698777      1
## 778              0              0                 <NA>    0.000000     -1
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## 790              0              0                 <NA>    0.000000     -1
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## 800              0              0                 <NA>    0.000000     -1
## 801            914            915 total_accel_dumbbell   30.500000      1
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## 803            918            919            roll_belt  -13.140000      1
## 804              0              0                 <NA>    0.000000     -1
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## 809              0              0                 <NA>    0.000000     -1
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## 813              0              0                 <NA>    0.000000     -1
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## 837            944            945      total_accel_arm    7.500000      1
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## 839            948            949       pitch_dumbbell  -25.206800      1
## 840              0              0                 <NA>    0.000000     -1
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## 851              0              0                 <NA>    0.000000     -1
## 852            962            963         magnet_arm_z -549.500000      1
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## 855            968            969    magnet_dumbbell_y  230.000000      1
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## 857              0              0                 <NA>    0.000000     -1
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## 860            972            973          accel_arm_z -125.000000      1
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## 871              0              0                 <NA>    0.000000     -1
## 872            978            979          gyros_arm_z   -0.720000      1
## 873            980            981         accel_belt_y    4.000000      1
## 874            982            983     gyros_dumbbell_x   -0.950000      1
## 875              0              0                 <NA>    0.000000     -1
## 876              0              0                 <NA>    0.000000     -1
## 877            984            985         gyros_belt_z    0.025000      1
## 878              0              0                 <NA>    0.000000     -1
## 879              0              0                 <NA>    0.000000     -1
## 880              0              0                 <NA>    0.000000     -1
## 881              0              0                 <NA>    0.000000     -1
## 882            986            987          accel_arm_y  -54.500000      1
## 883              0              0                 <NA>    0.000000     -1
## 884            988            989           pitch_belt   10.235000      1
## 885              0              0                 <NA>    0.000000     -1
## 886              0              0                 <NA>    0.000000     -1
## 887              0              0                 <NA>    0.000000     -1
## 888              0              0                 <NA>    0.000000     -1
## 889              0              0                 <NA>    0.000000     -1
## 890              0              0                 <NA>    0.000000     -1
## 891              0              0                 <NA>    0.000000     -1
## 892            990            991         gyros_belt_z   -0.035000      1
## 893              0              0                 <NA>    0.000000     -1
## 894            992            993         accel_belt_z -155.500000      1
## 895            994            995 total_accel_dumbbell   17.500000      1
## 896            996            997    magnet_dumbbell_y  221.500000      1
## 897            998            999          accel_arm_y  -21.500000      1
## 898              0              0                 <NA>    0.000000     -1
## 899           1000           1001         magnet_arm_y  385.500000      1
## 900           1002           1003          gyros_arm_x   -1.360000      1
## 901           1004           1005      total_accel_arm   23.000000      1
## 902              0              0                 <NA>    0.000000     -1
## 903              0              0                 <NA>    0.000000     -1
## 904              0              0                 <NA>    0.000000     -1
## 905           1006           1007     accel_dumbbell_z   17.000000      1
## 906              0              0                 <NA>    0.000000     -1
## 907              0              0                 <NA>    0.000000     -1
## 908              0              0                 <NA>    0.000000     -1
## 909           1008           1009      accel_forearm_z -123.000000      1
## 910              0              0                 <NA>    0.000000     -1
## 911              0              0                 <NA>    0.000000     -1
## 912           1010           1011     accel_dumbbell_z -198.000000      1
## 913              0              0                 <NA>    0.000000     -1
## 914              0              0                 <NA>    0.000000     -1
## 915              0              0                 <NA>    0.000000     -1
## 916           1012           1013          accel_arm_y   50.000000      1
## 917           1014           1015        magnet_belt_x   -8.500000      1
## 918              0              0                 <NA>    0.000000     -1
## 919              0              0                 <NA>    0.000000     -1
## 920           1016           1017         magnet_arm_x  367.000000      1
## 921              0              0                 <NA>    0.000000     -1
## 922              0              0                 <NA>    0.000000     -1
## 923              0              0                 <NA>    0.000000     -1
## 924           1018           1019        magnet_belt_y  626.500000      1
## 925           1020           1021         accel_belt_x  -20.500000      1
## 926           1022           1023        magnet_belt_y  579.500000      1
## 927           1024           1025     magnet_forearm_x -256.000000      1
## 928              0              0                 <NA>    0.000000     -1
## 929           1026           1027             yaw_belt  -87.650000      1
## 930           1028           1029     accel_dumbbell_y  163.000000      1
## 931           1030           1031        pitch_forearm   37.300000      1
## 932              0              0                 <NA>    0.000000     -1
## 933              0              0                 <NA>    0.000000     -1
## 934           1032           1033        pitch_forearm   14.490000      1
## 935           1034           1035        magnet_belt_y  632.500000      1
## 936           1036           1037       pitch_dumbbell   31.138198      1
## 937           1038           1039             yaw_belt  165.000000      1
## 938           1040           1041     magnet_forearm_y  708.000000      1
## 939           1042           1043        magnet_belt_y  631.500000      1
## 940              0              0                 <NA>    0.000000     -1
## 941              0              0                 <NA>    0.000000     -1
## 942           1044           1045          gyros_arm_y    1.025000      1
## 943              0              0                 <NA>    0.000000     -1
## 944              0              0                 <NA>    0.000000     -1
## 945           1046           1047           pitch_belt  -41.000000      1
## 946              0              0                 <NA>    0.000000     -1
## 947           1048           1049             yaw_belt    0.895000      1
## 948           1050           1051  total_accel_forearm   30.000000      1
## 949           1052           1053      accel_forearm_y  182.500000      1
## 950           1054           1055         accel_belt_z -162.500000      1
## 951           1056           1057         gyros_belt_z   -0.155000      1
## 952              0              0                 <NA>    0.000000     -1
## 953              0              0                 <NA>    0.000000     -1
## 954           1058           1059            pitch_arm   -0.450000      1
## 955           1060           1061            roll_belt   -0.840000      1
## 956           1062           1063  total_accel_forearm   45.000000      1
## 957           1064           1065        roll_dumbbell   53.427727      1
## 958           1066           1067          accel_arm_z -124.500000      1
## 959              0              0                 <NA>    0.000000     -1
## 960              0              0                 <NA>    0.000000     -1
## 961           1068           1069         accel_belt_y   45.500000      1
## 962              0              0                 <NA>    0.000000     -1
## 963           1070           1071         gyros_belt_z   -0.365000      1
## 964           1072           1073         magnet_arm_x  443.500000      1
## 965           1074           1075          gyros_arm_y    0.170000      1
## 966           1076           1077    magnet_dumbbell_z  -13.500000      1
## 967           1078           1079          gyros_arm_y   -0.490000      1
## 968              0              0                 <NA>    0.000000     -1
## 969              0              0                 <NA>    0.000000     -1
## 970           1080           1081          accel_arm_x -271.000000      1
## 971              0              0                 <NA>    0.000000     -1
## 972              0              0                 <NA>    0.000000     -1
## 973           1082           1083         gyros_belt_y    0.040000      1
## 974              0              0                 <NA>    0.000000     -1
## 975           1084           1085          accel_arm_z  157.000000      1
## 976              0              0                 <NA>    0.000000     -1
## 977              0              0                 <NA>    0.000000     -1
## 978           1086           1087     gyros_dumbbell_y   -0.965000      1
## 979           1088           1089      accel_forearm_z -208.000000      1
## 980              0              0                 <NA>    0.000000     -1
## 981              0              0                 <NA>    0.000000     -1
## 982              0              0                 <NA>    0.000000     -1
## 983              0              0                 <NA>    0.000000     -1
## 984              0              0                 <NA>    0.000000     -1
## 985           1090           1091          gyros_arm_y   -1.115000      1
## 986              0              0                 <NA>    0.000000     -1
## 987              0              0                 <NA>    0.000000     -1
## 988              0              0                 <NA>    0.000000     -1
## 989              0              0                 <NA>    0.000000     -1
## 990              0              0                 <NA>    0.000000     -1
## 991              0              0                 <NA>    0.000000     -1
## 992           1092           1093      accel_forearm_y  311.500000      1
## 993              0              0                 <NA>    0.000000     -1
## 994           1094           1095         accel_belt_x   48.500000      1
## 995              0              0                 <NA>    0.000000     -1
## 996           1096           1097 total_accel_dumbbell   16.500000      1
## 997              0              0                 <NA>    0.000000     -1
## 998              0              0                 <NA>    0.000000     -1
## 999              0              0                 <NA>    0.000000     -1
## 1000             0              0                 <NA>    0.000000     -1
## 1001             0              0                 <NA>    0.000000     -1
## 1002             0              0                 <NA>    0.000000     -1
## 1003             0              0                 <NA>    0.000000     -1
## 1004             0              0                 <NA>    0.000000     -1
## 1005             0              0                 <NA>    0.000000     -1
## 1006          1098           1099              yaw_arm  114.000000      1
## 1007             0              0                 <NA>    0.000000     -1
## 1008             0              0                 <NA>    0.000000     -1
## 1009             0              0                 <NA>    0.000000     -1
## 1010             0              0                 <NA>    0.000000     -1
## 1011             0              0                 <NA>    0.000000     -1
## 1012             0              0                 <NA>    0.000000     -1
## 1013             0              0                 <NA>    0.000000     -1
## 1014             0              0                 <NA>    0.000000     -1
## 1015          1100           1101     gyros_dumbbell_z    0.485000      1
## 1016          1102           1103         roll_forearm  133.000000      1
## 1017          1104           1105         accel_belt_y   71.500000      1
## 1018          1106           1107    magnet_dumbbell_x -592.500000      1
## 1019             0              0                 <NA>    0.000000     -1
## 1020          1108           1109     accel_dumbbell_x   26.000000      1
## 1021          1110           1111     gyros_dumbbell_y   -0.480000      1
## 1022          1112           1113              yaw_arm   81.500000      1
## 1023          1114           1115         gyros_belt_y   -0.080000      1
## 1024             0              0                 <NA>    0.000000     -1
## 1025             0              0                 <NA>    0.000000     -1
## 1026          1116           1117         magnet_arm_y  457.000000      1
## 1027             0              0                 <NA>    0.000000     -1
## 1028          1118           1119        magnet_belt_y  633.000000      1
## 1029             0              0                 <NA>    0.000000     -1
## 1030             0              0                 <NA>    0.000000     -1
## 1031             0              0                 <NA>    0.000000     -1
## 1032          1120           1121         accel_belt_x  -15.500000      1
## 1033             0              0                 <NA>    0.000000     -1
## 1034          1122           1123        roll_dumbbell   59.700535      1
## 1035          1124           1125      gyros_forearm_y   -0.045000      1
## 1036             0              0                 <NA>    0.000000     -1
## 1037          1126           1127    magnet_dumbbell_x -261.500000      1
## 1038          1128           1129     gyros_dumbbell_y    0.420000      1
## 1039             0              0                 <NA>    0.000000     -1
## 1040             0              0                 <NA>    0.000000     -1
## 1041             0              0                 <NA>    0.000000     -1
## 1042          1130           1131          gyros_arm_x    3.885000      1
## 1043          1132           1133         magnet_arm_x  500.000000      1
## 1044          1134           1135         accel_belt_y   33.000000      1
## 1045          1136           1137     accel_dumbbell_z    5.500000      1
## 1046          1138           1139     accel_dumbbell_y   80.000000      1
## 1047             0              0                 <NA>    0.000000     -1
## 1048             0              0                 <NA>    0.000000     -1
## 1049             0              0                 <NA>    0.000000     -1
## 1050             0              0                 <NA>    0.000000     -1
## 1051             0              0                 <NA>    0.000000     -1
## 1052             0              0                 <NA>    0.000000     -1
## 1053          1140           1141      gyros_forearm_z    0.350000      1
## 1054             0              0                 <NA>    0.000000     -1
## 1055             0              0                 <NA>    0.000000     -1
## 1056          1142           1143         gyros_belt_x    0.145000      1
## 1057             0              0                 <NA>    0.000000     -1
## 1058             0              0                 <NA>    0.000000     -1
## 1059             0              0                 <NA>    0.000000     -1
## 1060             0              0                 <NA>    0.000000     -1
## 1061          1144           1145    magnet_dumbbell_x -448.000000      1
## 1062             0              0                 <NA>    0.000000     -1
## 1063             0              0                 <NA>    0.000000     -1
## 1064             0              0                 <NA>    0.000000     -1
## 1065          1146           1147     accel_dumbbell_x  -50.000000      1
## 1066             0              0                 <NA>    0.000000     -1
## 1067             0              0                 <NA>    0.000000     -1
## 1068             0              0                 <NA>    0.000000     -1
## 1069             0              0                 <NA>    0.000000     -1
## 1070          1148           1149         magnet_arm_z  405.000000      1
## 1071          1150           1151         accel_belt_z -157.000000      1
## 1072             0              0                 <NA>    0.000000     -1
## 1073             0              0                 <NA>    0.000000     -1
## 1074          1152           1153     gyros_dumbbell_z    0.190000      1
## 1075          1154           1155         gyros_belt_y   -0.015000      1
## 1076          1156           1157         magnet_arm_z  216.000000      1
## 1077          1158           1159           pitch_belt  -42.050000      1
## 1078          1160           1161      accel_forearm_z   36.000000      1
## 1079          1162           1163      accel_forearm_x  -71.500000      1
## 1080          1164           1165      accel_forearm_x -159.000000      1
## 1081          1166           1167          accel_arm_z -259.000000      1
## 1082          1168           1169      accel_forearm_x  102.500000      1
## 1083             0              0                 <NA>    0.000000     -1
## 1084          1170           1171          gyros_arm_y   -0.145000      1
## 1085             0              0                 <NA>    0.000000     -1
## 1086             0              0                 <NA>    0.000000     -1
## 1087             0              0                 <NA>    0.000000     -1
## 1088             0              0                 <NA>    0.000000     -1
## 1089             0              0                 <NA>    0.000000     -1
## 1090             0              0                 <NA>    0.000000     -1
## 1091             0              0                 <NA>    0.000000     -1
## 1092          1172           1173         magnet_arm_y  311.500000      1
## 1093             0              0                 <NA>    0.000000     -1
## 1094          1174           1175           pitch_belt  -41.900000      1
## 1095             0              0                 <NA>    0.000000     -1
## 1096             0              0                 <NA>    0.000000     -1
## 1097             0              0                 <NA>    0.000000     -1
## 1098             0              0                 <NA>    0.000000     -1
## 1099          1176           1177         gyros_belt_x    0.110000      1
## 1100          1178           1179     gyros_dumbbell_y    0.120000      1
## 1101             0              0                 <NA>    0.000000     -1
## 1102             0              0                 <NA>    0.000000     -1
## 1103             0              0                 <NA>    0.000000     -1
## 1104             0              0                 <NA>    0.000000     -1
## 1105          1180           1181         gyros_belt_z   -0.395000      1
## 1106          1182           1183             roll_arm   71.050000      1
## 1107             0              0                 <NA>    0.000000     -1
## 1108          1184           1185     gyros_dumbbell_y   -0.185000      1
## 1109             0              0                 <NA>    0.000000     -1
## 1110             0              0                 <NA>    0.000000     -1
## 1111             0              0                 <NA>    0.000000     -1
## 1112             0              0                 <NA>    0.000000     -1
## 1113             0              0                 <NA>    0.000000     -1
## 1114             0              0                 <NA>    0.000000     -1
## 1115          1186           1187          accel_arm_x  208.000000      1
## 1116             0              0                 <NA>    0.000000     -1
## 1117             0              0                 <NA>    0.000000     -1
## 1118             0              0                 <NA>    0.000000     -1
## 1119             0              0                 <NA>    0.000000     -1
## 1120             0              0                 <NA>    0.000000     -1
## 1121             0              0                 <NA>    0.000000     -1
## 1122             0              0                 <NA>    0.000000     -1
## 1123          1188           1189     gyros_dumbbell_z   -0.535000      1
## 1124          1190           1191        roll_dumbbell   78.424436      1
## 1125          1192           1193    magnet_dumbbell_z  125.000000      1
## 1126             0              0                 <NA>    0.000000     -1
## 1127             0              0                 <NA>    0.000000     -1
## 1128             0              0                 <NA>    0.000000     -1
## 1129             0              0                 <NA>    0.000000     -1
## 1130          1194           1195     accel_dumbbell_y  154.000000      1
## 1131          1196           1197         roll_forearm  159.000000      1
## 1132          1198           1199        roll_dumbbell   81.143332      1
## 1133          1200           1201     magnet_forearm_y  712.000000      1
## 1134          1202           1203     gyros_dumbbell_x   -0.210000      1
## 1135             0              0                 <NA>    0.000000     -1
## 1136          1204           1205              yaw_arm   29.800000      1
## 1137             0              0                 <NA>    0.000000     -1
## 1138             0              0                 <NA>    0.000000     -1
## 1139          1206           1207         yaw_dumbbell  -91.727078      1
## 1140             0              0                 <NA>    0.000000     -1
## 1141             0              0                 <NA>    0.000000     -1
## 1142             0              0                 <NA>    0.000000     -1
## 1143          1208           1209             yaw_belt  167.500000      1
## 1144             0              0                 <NA>    0.000000     -1
## 1145             0              0                 <NA>    0.000000     -1
## 1146             0              0                 <NA>    0.000000     -1
## 1147             0              0                 <NA>    0.000000     -1
## 1148             0              0                 <NA>    0.000000     -1
## 1149             0              0                 <NA>    0.000000     -1
## 1150          1210           1211    magnet_dumbbell_x -550.000000      1
## 1151          1212           1213          gyros_arm_y    0.985000      1
## 1152             0              0                 <NA>    0.000000     -1
## 1153             0              0                 <NA>    0.000000     -1
## 1154             0              0                 <NA>    0.000000     -1
## 1155             0              0                 <NA>    0.000000     -1
## 1156             0              0                 <NA>    0.000000     -1
## 1157          1214           1215         magnet_arm_x -189.000000      1
## 1158          1216           1217    magnet_dumbbell_y  278.000000      1
## 1159          1218           1219          gyros_arm_z    0.945000      1
## 1160             0              0                 <NA>    0.000000     -1
## 1161             0              0                 <NA>    0.000000     -1
## 1162          1220           1221      accel_forearm_z   10.500000      1
## 1163             0              0                 <NA>    0.000000     -1
## 1164             0              0                 <NA>    0.000000     -1
## 1165             0              0                 <NA>    0.000000     -1
## 1166          1222           1223      accel_forearm_x -177.000000      1
## 1167             0              0                 <NA>    0.000000     -1
## 1168             0              0                 <NA>    0.000000     -1
## 1169          1224           1225        magnet_belt_y  584.000000      1
## 1170          1226           1227      total_accel_arm   29.000000      1
## 1171             0              0                 <NA>    0.000000     -1
## 1172             0              0                 <NA>    0.000000     -1
## 1173             0              0                 <NA>    0.000000     -1
## 1174             0              0                 <NA>    0.000000     -1
## 1175             0              0                 <NA>    0.000000     -1
## 1176             0              0                 <NA>    0.000000     -1
## 1177             0              0                 <NA>    0.000000     -1
## 1178             0              0                 <NA>    0.000000     -1
## 1179          1228           1229      accel_forearm_y   96.500000      1
## 1180             0              0                 <NA>    0.000000     -1
## 1181             0              0                 <NA>    0.000000     -1
## 1182             0              0                 <NA>    0.000000     -1
## 1183             0              0                 <NA>    0.000000     -1
## 1184             0              0                 <NA>    0.000000     -1
## 1185             0              0                 <NA>    0.000000     -1
## 1186          1230           1231     accel_dumbbell_z -203.500000      1
## 1187          1232           1233          accel_arm_z  148.500000      1
## 1188          1234           1235    magnet_dumbbell_x -236.000000      1
## 1189             0              0                 <NA>    0.000000     -1
## 1190          1236           1237          gyros_arm_z   -0.135000      1
## 1191             0              0                 <NA>    0.000000     -1
## 1192          1238           1239         yaw_dumbbell  -70.675238      1
## 1193             0              0                 <NA>    0.000000     -1
## 1194             0              0                 <NA>    0.000000     -1
## 1195          1240           1241        magnet_belt_z -300.000000      1
## 1196             0              0                 <NA>    0.000000     -1
## 1197             0              0                 <NA>    0.000000     -1
## 1198             0              0                 <NA>    0.000000     -1
## 1199             0              0                 <NA>    0.000000     -1
## 1200             0              0                 <NA>    0.000000     -1
## 1201          1242           1243             yaw_belt  -88.050000      1
## 1202             0              0                 <NA>    0.000000     -1
## 1203             0              0                 <NA>    0.000000     -1
## 1204             0              0                 <NA>    0.000000     -1
## 1205             0              0                 <NA>    0.000000     -1
## 1206             0              0                 <NA>    0.000000     -1
## 1207             0              0                 <NA>    0.000000     -1
## 1208             0              0                 <NA>    0.000000     -1
## 1209             0              0                 <NA>    0.000000     -1
## 1210          1244           1245         magnet_arm_z  442.500000      1
## 1211             0              0                 <NA>    0.000000     -1
## 1212          1246           1247         magnet_arm_z  569.500000      1
## 1213             0              0                 <NA>    0.000000     -1
## 1214             0              0                 <NA>    0.000000     -1
## 1215          1248           1249             roll_arm   72.650000      1
## 1216             0              0                 <NA>    0.000000     -1
## 1217             0              0                 <NA>    0.000000     -1
## 1218          1250           1251          accel_arm_z   86.500000      1
## 1219          1252           1253             roll_arm  -13.950000      1
## 1220             0              0                 <NA>    0.000000     -1
## 1221          1254           1255        magnet_belt_x  170.000000      1
## 1222             0              0                 <NA>    0.000000     -1
## 1223          1256           1257      accel_forearm_z -165.500000      1
## 1224             0              0                 <NA>    0.000000     -1
## 1225             0              0                 <NA>    0.000000     -1
## 1226             0              0                 <NA>    0.000000     -1
## 1227          1258           1259        pitch_forearm   49.400000      1
## 1228             0              0                 <NA>    0.000000     -1
## 1229             0              0                 <NA>    0.000000     -1
## 1230          1260           1261         magnet_arm_y  436.000000      1
## 1231          1262           1263            roll_belt    0.000000      1
## 1232             0              0                 <NA>    0.000000     -1
## 1233             0              0                 <NA>    0.000000     -1
## 1234          1264           1265     accel_dumbbell_y  197.000000      1
## 1235             0              0                 <NA>    0.000000     -1
## 1236             0              0                 <NA>    0.000000     -1
## 1237             0              0                 <NA>    0.000000     -1
## 1238             0              0                 <NA>    0.000000     -1
## 1239          1266           1267  total_accel_forearm   28.500000      1
## 1240             0              0                 <NA>    0.000000     -1
## 1241          1268           1269         magnet_arm_y  -79.500000      1
## 1242             0              0                 <NA>    0.000000     -1
## 1243             0              0                 <NA>    0.000000     -1
## 1244             0              0                 <NA>    0.000000     -1
## 1245          1270           1271         magnet_arm_z  469.000000      1
## 1246             0              0                 <NA>    0.000000     -1
## 1247             0              0                 <NA>    0.000000     -1
## 1248             0              0                 <NA>    0.000000     -1
## 1249          1272           1273         gyros_belt_x   -0.025000      1
## 1250          1274           1275        magnet_belt_z -300.500000      1
## 1251             0              0                 <NA>    0.000000     -1
## 1252          1276           1277          gyros_arm_z    1.060000      1
## 1253             0              0                 <NA>    0.000000     -1
## 1254             0              0                 <NA>    0.000000     -1
## 1255             0              0                 <NA>    0.000000     -1
## 1256             0              0                 <NA>    0.000000     -1
## 1257             0              0                 <NA>    0.000000     -1
## 1258             0              0                 <NA>    0.000000     -1
## 1259             0              0                 <NA>    0.000000     -1
## 1260          1278           1279          yaw_forearm  164.500000      1
## 1261          1280           1281        roll_dumbbell   52.985287      1
## 1262          1282           1283      total_accel_arm   36.500000      1
## 1263          1284           1285 total_accel_dumbbell    2.500000      1
## 1264          1286           1287         gyros_belt_y   -0.010000      1
## 1265             0              0                 <NA>    0.000000     -1
## 1266             0              0                 <NA>    0.000000     -1
## 1267          1288           1289         magnet_arm_z  481.500000      1
## 1268             0              0                 <NA>    0.000000     -1
## 1269             0              0                 <NA>    0.000000     -1
## 1270             0              0                 <NA>    0.000000     -1
## 1271             0              0                 <NA>    0.000000     -1
## 1272             0              0                 <NA>    0.000000     -1
## 1273             0              0                 <NA>    0.000000     -1
## 1274          1290           1291          gyros_arm_y   -0.225000      1
## 1275          1292           1293      gyros_forearm_y    3.365000      1
## 1276          1294           1295    magnet_dumbbell_z   61.000000      1
## 1277          1296           1297     gyros_dumbbell_y    0.040000      1
## 1278          1298           1299    magnet_dumbbell_z   59.000000      1
## 1279             0              0                 <NA>    0.000000     -1
## 1280             0              0                 <NA>    0.000000     -1
## 1281             0              0                 <NA>    0.000000     -1
## 1282             0              0                 <NA>    0.000000     -1
## 1283             0              0                 <NA>    0.000000     -1
## 1284          1300           1301     magnet_forearm_z  546.500000      1
## 1285          1302           1303      accel_forearm_y  395.000000      1
## 1286             0              0                 <NA>    0.000000     -1
## 1287             0              0                 <NA>    0.000000     -1
## 1288             0              0                 <NA>    0.000000     -1
## 1289             0              0                 <NA>    0.000000     -1
## 1290          1304           1305            roll_belt  126.000000      1
## 1291             0              0                 <NA>    0.000000     -1
## 1292          1306           1307          accel_arm_y  -94.000000      1
## 1293          1308           1309     gyros_dumbbell_z   -0.215000      1
## 1294             0              0                 <NA>    0.000000     -1
## 1295             0              0                 <NA>    0.000000     -1
## 1296             0              0                 <NA>    0.000000     -1
## 1297          1310           1311      accel_forearm_x -255.500000      1
## 1298             0              0                 <NA>    0.000000     -1
## 1299             0              0                 <NA>    0.000000     -1
## 1300             0              0                 <NA>    0.000000     -1
## 1301             0              0                 <NA>    0.000000     -1
## 1302          1312           1313    magnet_dumbbell_z  -92.000000      1
## 1303          1314           1315             roll_arm   40.850000      1
## 1304             0              0                 <NA>    0.000000     -1
## 1305             0              0                 <NA>    0.000000     -1
## 1306             0              0                 <NA>    0.000000     -1
## 1307             0              0                 <NA>    0.000000     -1
## 1308             0              0                 <NA>    0.000000     -1
## 1309             0              0                 <NA>    0.000000     -1
## 1310             0              0                 <NA>    0.000000     -1
## 1311             0              0                 <NA>    0.000000     -1
## 1312             0              0                 <NA>    0.000000     -1
## 1313          1316           1317          yaw_forearm -177.500000      1
## 1314             0              0                 <NA>    0.000000     -1
## 1315             0              0                 <NA>    0.000000     -1
## 1316          1318           1319         gyros_belt_z   -0.450000      1
## 1317          1320           1321        magnet_belt_y  640.500000      1
## 1318             0              0                 <NA>    0.000000     -1
## 1319             0              0                 <NA>    0.000000     -1
## 1320          1322           1323        magnet_belt_x   54.500000      1
## 1321          1324           1325          accel_arm_z  -74.500000      1
## 1322          1326           1327         magnet_arm_y  441.500000      1
## 1323          1328           1329        magnet_belt_y  634.000000      1
## 1324             0              0                 <NA>    0.000000     -1
## 1325             0              0                 <NA>    0.000000     -1
## 1326          1330           1331             roll_arm   55.150000      1
## 1327          1332           1333      gyros_forearm_z   -0.075000      1
## 1328          1334           1335      gyros_forearm_z    0.140000      1
## 1329             0              0                 <NA>    0.000000     -1
## 1330             0              0                 <NA>    0.000000     -1
## 1331          1336           1337      accel_forearm_x   56.000000      1
## 1332             0              0                 <NA>    0.000000     -1
## 1333             0              0                 <NA>    0.000000     -1
## 1334             0              0                 <NA>    0.000000     -1
## 1335             0              0                 <NA>    0.000000     -1
## 1336          1338           1339        roll_dumbbell   28.741895      1
## 1337          1340           1341         roll_forearm  133.500000      1
## 1338          1342           1343         yaw_dumbbell  140.751685      1
## 1339             0              0                 <NA>    0.000000     -1
## 1340          1344           1345        magnet_belt_x    8.500000      1
## 1341             0              0                 <NA>    0.000000     -1
## 1342             0              0                 <NA>    0.000000     -1
## 1343             0              0                 <NA>    0.000000     -1
## 1344             0              0                 <NA>    0.000000     -1
## 1345             0              0                 <NA>    0.000000     -1
##      prediction
## 1          <NA>
## 2          <NA>
## 3          <NA>
## 4          <NA>
## 5          <NA>
## 6          <NA>
## 7          <NA>
## 8          <NA>
## 9             E
## 10         <NA>
## 11         <NA>
## 12         <NA>
## 13         <NA>
## 14         <NA>
## 15         <NA>
## 16         <NA>
## 17         <NA>
## 18         <NA>
## 19         <NA>
## 20         <NA>
## 21         <NA>
## 22            E
## 23            A
## 24            E
## 25            B
## 26            B
## 27            E
## 28         <NA>
## 29            E
## 30         <NA>
## 31         <NA>
## 32         <NA>
## 33         <NA>
## 34         <NA>
## 35         <NA>
## 36         <NA>
## 37         <NA>
## 38         <NA>
## 39         <NA>
## 40         <NA>
## 41         <NA>
## 42         <NA>
## 43         <NA>
## 44         <NA>
## 45         <NA>
## 46         <NA>
## 47         <NA>
## 48         <NA>
## 49         <NA>
## 50         <NA>
## 51         <NA>
## 52         <NA>
## 53         <NA>
## 54         <NA>
## 55         <NA>
## 56         <NA>
## 57         <NA>
## 58         <NA>
## 59         <NA>
## 60            E
## 61            B
## 62            D
## 63            E
## 64            E
## 65         <NA>
## 66         <NA>
## 67         <NA>
## 68            B
## 69         <NA>
## 70            E
## 71            D
## 72            B
## 73         <NA>
## 74            C
## 75         <NA>
## 76            D
## 77            A
## 78         <NA>
## 79         <NA>
## 80         <NA>
## 81         <NA>
## 82         <NA>
## 83         <NA>
## 84            B
## 85         <NA>
## 86         <NA>
## 87            C
## 88         <NA>
## 89         <NA>
## 90         <NA>
## 91         <NA>
## 92         <NA>
## 93         <NA>
## 94         <NA>
## 95         <NA>
## 96         <NA>
## 97         <NA>
## 98         <NA>
## 99         <NA>
## 100        <NA>
## 101        <NA>
## 102        <NA>
## 103        <NA>
## 104        <NA>
## 105        <NA>
## 106           A
## 107        <NA>
## 108           E
## 109        <NA>
## 110           B
## 111           A
## 112        <NA>
## 113           B
## 114           C
## 115           B
## 116        <NA>
## 117           D
## 118        <NA>
## 119        <NA>
## 120           B
## 121           A
## 122        <NA>
## 123        <NA>
## 124        <NA>
## 125        <NA>
## 126           B
## 127           C
## 128        <NA>
## 129        <NA>
## 130           C
## 131           B
## 132           A
## 133        <NA>
## 134        <NA>
## 135           A
## 136        <NA>
## 137        <NA>
## 138        <NA>
## 139        <NA>
## 140           B
## 141        <NA>
## 142        <NA>
## 143           B
## 144           B
## 145        <NA>
## 146        <NA>
## 147        <NA>
## 148        <NA>
## 149        <NA>
## 150        <NA>
## 151           B
## 152        <NA>
## 153           A
## 154        <NA>
## 155        <NA>
## 156        <NA>
## 157        <NA>
## 158        <NA>
## 159        <NA>
## 160        <NA>
## 161        <NA>
## 162        <NA>
## 163        <NA>
## 164        <NA>
## 165        <NA>
## 166           E
## 167        <NA>
## 168        <NA>
## 169        <NA>
## 170           D
## 171           E
## 172        <NA>
## 173        <NA>
## 174           B
## 175        <NA>
## 176        <NA>
## 177           B
## 178           B
## 179        <NA>
## 180           E
## 181        <NA>
## 182           E
## 183        <NA>
## 184        <NA>
## 185           B
## 186        <NA>
## 187        <NA>
## 188           C
## 189           D
## 190           C
## 191        <NA>
## 192        <NA>
## 193        <NA>
## 194           D
## 195        <NA>
## 196        <NA>
## 197        <NA>
## 198        <NA>
## 199        <NA>
## 200        <NA>
## 201        <NA>
## 202        <NA>
## 203        <NA>
## 204           B
## 205        <NA>
## 206        <NA>
## 207        <NA>
## 208        <NA>
## 209        <NA>
## 210           A
## 211        <NA>
## 212           D
## 213           B
## 214        <NA>
## 215        <NA>
## 216           E
## 217           A
## 218           A
## 219           B
## 220           B
## 221           E
## 222           E
## 223        <NA>
## 224        <NA>
## 225        <NA>
## 226        <NA>
## 227        <NA>
## 228        <NA>
## 229        <NA>
## 230        <NA>
## 231        <NA>
## 232        <NA>
## 233        <NA>
## 234           E
## 235           B
## 236        <NA>
## 237        <NA>
## 238           B
## 239        <NA>
## 240        <NA>
## 241           E
## 242           E
## 243        <NA>
## 244        <NA>
## 245        <NA>
## 246           B
## 247           E
## 248           B
## 249           E
## 250           B
## 251           A
## 252        <NA>
## 253           C
## 254           B
## 255           D
## 256           C
## 257           B
## 258           D
## 259           A
## 260        <NA>
## 261           C
## 262        <NA>
## 263           B
## 264        <NA>
## 265           A
## 266        <NA>
## 267           B
## 268           B
## 269           A
## 270           C
## 271           D
## 272           C
## 273           D
## 274        <NA>
## 275        <NA>
## 276        <NA>
## 277        <NA>
## 278           B
## 279           E
## 280        <NA>
## 281        <NA>
## 282        <NA>
## 283        <NA>
## 284        <NA>
## 285           A
## 286        <NA>
## 287           A
## 288        <NA>
## 289        <NA>
## 290        <NA>
## 291           A
## 292        <NA>
## 293        <NA>
## 294        <NA>
## 295        <NA>
## 296        <NA>
## 297        <NA>
## 298           B
## 299        <NA>
## 300        <NA>
## 301        <NA>
## 302        <NA>
## 303        <NA>
## 304           A
## 305           B
## 306           B
## 307           A
## 308           D
## 309           B
## 310           A
## 311           D
## 312        <NA>
## 313        <NA>
## 314           D
## 315        <NA>
## 316        <NA>
## 317           B
## 318        <NA>
## 319        <NA>
## 320        <NA>
## 321        <NA>
## 322        <NA>
## 323           C
## 324        <NA>
## 325        <NA>
## 326        <NA>
## 327        <NA>
## 328        <NA>
## 329        <NA>
## 330           E
## 331        <NA>
## 332           E
## 333           B
## 334           A
## 335        <NA>
## 336        <NA>
## 337        <NA>
## 338           D
## 339           B
## 340        <NA>
## 341        <NA>
## 342        <NA>
## 343        <NA>
## 344        <NA>
## 345        <NA>
## 346        <NA>
## 347        <NA>
## 348           B
## 349        <NA>
## 350           B
## 351           C
## 352           D
## 353           A
## 354           E
## 355           B
## 356        <NA>
## 357           C
## 358        <NA>
## 359        <NA>
## 360        <NA>
## 361        <NA>
## 362        <NA>
## 363        <NA>
## 364        <NA>
## 365           D
## 366        <NA>
## 367        <NA>
## 368        <NA>
## 369           A
## 370        <NA>
## 371           A
## 372        <NA>
## 373        <NA>
## 374        <NA>
## 375           C
## 376           A
## 377        <NA>
## 378           A
## 379           B
## 380        <NA>
## 381        <NA>
## 382           A
## 383           C
## 384        <NA>
## 385           A
## 386           B
## 387        <NA>
## 388        <NA>
## 389        <NA>
## 390        <NA>
## 391        <NA>
## 392           A
## 393           B
## 394        <NA>
## 395           A
## 396        <NA>
## 397        <NA>
## 398           B
## 399        <NA>
## 400           A
## 401           B
## 402        <NA>
## 403           A
## 404        <NA>
## 405        <NA>
## 406           D
## 407        <NA>
## 408        <NA>
## 409           C
## 410        <NA>
## 411        <NA>
## 412        <NA>
## 413           D
## 414        <NA>
## 415        <NA>
## 416           B
## 417        <NA>
## 418        <NA>
## 419        <NA>
## 420           B
## 421        <NA>
## 422           E
## 423           C
## 424           E
## 425           D
## 426        <NA>
## 427           B
## 428           C
## 429        <NA>
## 430        <NA>
## 431           A
## 432           E
## 433        <NA>
## 434        <NA>
## 435        <NA>
## 436        <NA>
## 437        <NA>
## 438        <NA>
## 439        <NA>
## 440           B
## 441        <NA>
## 442        <NA>
## 443        <NA>
## 444        <NA>
## 445        <NA>
## 446           E
## 447           B
## 448        <NA>
## 449           C
## 450           E
## 451        <NA>
## 452           D
## 453           B
## 454           E
## 455           D
## 456        <NA>
## 457        <NA>
## 458        <NA>
## 459        <NA>
## 460           C
## 461           B
## 462           C
## 463           B
## 464        <NA>
## 465           E
## 466        <NA>
## 467        <NA>
## 468        <NA>
## 469        <NA>
## 470        <NA>
## 471        <NA>
## 472        <NA>
## 473           E
## 474        <NA>
## 475        <NA>
## 476        <NA>
## 477        <NA>
## 478        <NA>
## 479           A
## 480           B
## 481        <NA>
## 482        <NA>
## 483           B
## 484        <NA>
## 485        <NA>
## 486           C
## 487           D
## 488           E
## 489           C
## 490        <NA>
## 491        <NA>
## 492        <NA>
## 493        <NA>
## 494           C
## 495        <NA>
## 496           A
## 497        <NA>
## 498           A
## 499           B
## 500           A
## 501           B
## 502           A
## 503           B
## 504           A
## 505        <NA>
## 506           E
## 507        <NA>
## 508           D
## 509        <NA>
## 510           A
## 511           B
## 512        <NA>
## 513           B
## 514        <NA>
## 515           C
## 516           B
## 517        <NA>
## 518           A
## 519        <NA>
## 520           B
## 521           A
## 522           B
## 523        <NA>
## 524        <NA>
## 525           B
## 526        <NA>
## 527        <NA>
## 528        <NA>
## 529        <NA>
## 530           B
## 531           E
## 532           A
## 533           E
## 534           B
## 535        <NA>
## 536           C
## 537           D
## 538           D
## 539           B
## 540           B
## 541           C
## 542        <NA>
## 543        <NA>
## 544        <NA>
## 545           B
## 546        <NA>
## 547        <NA>
## 548           E
## 549           A
## 550           B
## 551        <NA>
## 552           E
## 553        <NA>
## 554        <NA>
## 555           B
## 556        <NA>
## 557        <NA>
## 558        <NA>
## 559           C
## 560        <NA>
## 561        <NA>
## 562           B
## 563        <NA>
## 564        <NA>
## 565        <NA>
## 566           D
## 567           E
## 568           B
## 569        <NA>
## 570           B
## 571           A
## 572        <NA>
## 573           C
## 574        <NA>
## 575           C
## 576           C
## 577           B
## 578           E
## 579           B
## 580        <NA>
## 581        <NA>
## 582        <NA>
## 583        <NA>
## 584        <NA>
## 585        <NA>
## 586           B
## 587        <NA>
## 588           D
## 589           E
## 590        <NA>
## 591           A
## 592        <NA>
## 593        <NA>
## 594           A
## 595        <NA>
## 596           B
## 597        <NA>
## 598           D
## 599        <NA>
## 600        <NA>
## 601        <NA>
## 602           A
## 603           B
## 604        <NA>
## 605        <NA>
## 606        <NA>
## 607        <NA>
## 608        <NA>
## 609        <NA>
## 610        <NA>
## 611        <NA>
## 612           B
## 613           A
## 614           A
## 615           B
## 616        <NA>
## 617           A
## 618        <NA>
## 619        <NA>
## 620        <NA>
## 621        <NA>
## 622        <NA>
## 623           B
## 624           C
## 625        <NA>
## 626           E
## 627           D
## 628        <NA>
## 629        <NA>
## 630           A
## 631        <NA>
## 632        <NA>
## 633        <NA>
## 634           A
## 635           B
## 636           D
## 637           C
## 638           C
## 639           D
## 640           A
## 641        <NA>
## 642        <NA>
## 643           B
## 644        <NA>
## 645           D
## 646           C
## 647           D
## 648           A
## 649           D
## 650        <NA>
## 651           D
## 652           B
## 653           A
## 654        <NA>
## 655           D
## 656        <NA>
## 657        <NA>
## 658           B
## 659           D
## 660           D
## 661           E
## 662        <NA>
## 663           E
## 664           B
## 665           E
## 666           C
## 667           E
## 668        <NA>
## 669           C
## 670        <NA>
## 671        <NA>
## 672           A
## 673        <NA>
## 674        <NA>
## 675        <NA>
## 676           E
## 677           D
## 678        <NA>
## 679        <NA>
## 680        <NA>
## 681        <NA>
## 682        <NA>
## 683           B
## 684           E
## 685           A
## 686        <NA>
## 687           B
## 688           C
## 689        <NA>
## 690           D
## 691           C
## 692           C
## 693           B
## 694        <NA>
## 695        <NA>
## 696        <NA>
## 697           B
## 698        <NA>
## 699        <NA>
## 700           E
## 701           B
## 702           D
## 703        <NA>
## 704        <NA>
## 705        <NA>
## 706        <NA>
## 707        <NA>
## 708        <NA>
## 709           E
## 710        <NA>
## 711           B
## 712           B
## 713           D
## 714        <NA>
## 715        <NA>
## 716        <NA>
## 717        <NA>
## 718           A
## 719        <NA>
## 720           A
## 721        <NA>
## 722           D
## 723           C
## 724        <NA>
## 725        <NA>
## 726        <NA>
## 727        <NA>
## 728        <NA>
## 729        <NA>
## 730        <NA>
## 731        <NA>
## 732           D
## 733        <NA>
## 734        <NA>
## 735        <NA>
## 736        <NA>
## 737        <NA>
## 738           D
## 739        <NA>
## 740           D
## 741        <NA>
## 742        <NA>
## 743           E
## 744        <NA>
## 745           D
## 746           B
## 747           A
## 748        <NA>
## 749        <NA>
## 750        <NA>
## 751           A
## 752           D
## 753           C
## 754        <NA>
## 755           E
## 756           B
## 757           C
## 758           C
## 759        <NA>
## 760           C
## 761        <NA>
## 762        <NA>
## 763        <NA>
## 764           A
## 765           C
## 766           B
## 767           A
## 768           B
## 769           C
## 770           D
## 771        <NA>
## 772           A
## 773        <NA>
## 774           A
## 775        <NA>
## 776        <NA>
## 777        <NA>
## 778           C
## 779           D
## 780           B
## 781           A
## 782           D
## 783           E
## 784           E
## 785           B
## 786           B
## 787           C
## 788           E
## 789        <NA>
## 790           C
## 791        <NA>
## 792           E
## 793           D
## 794           C
## 795           D
## 796           E
## 797           D
## 798        <NA>
## 799           E
## 800           D
## 801        <NA>
## 802        <NA>
## 803        <NA>
## 804           A
## 805           B
## 806           E
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Predicting in-sample error:

predictionsB1 <- predict(modFitB1, myTesting, type = "class")

Using confusion Matrix to test results:

confusionMatrix(predictionsB1, as.factor(myTesting$classe))
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    A    B    C    D    E
##          A 2231    8    0    0    0
##          B    0 1508    8    0    0
##          C    0    2 1358   18    2
##          D    0    0    2 1266    5
##          E    1    0    0    2 1435
## 
## Overall Statistics
##                                           
##                Accuracy : 0.9939          
##                  95% CI : (0.9919, 0.9955)
##     No Information Rate : 0.2845          
##     P-Value [Acc > NIR] : < 2.2e-16       
##                                           
##                   Kappa : 0.9923          
##                                           
##  Mcnemar's Test P-Value : NA              
## 
## Statistics by Class:
## 
##                      Class: A Class: B Class: C Class: D Class: E
## Sensitivity            0.9996   0.9934   0.9927   0.9844   0.9951
## Specificity            0.9986   0.9987   0.9966   0.9989   0.9995
## Pos Pred Value         0.9964   0.9947   0.9841   0.9945   0.9979
## Neg Pred Value         0.9998   0.9984   0.9985   0.9970   0.9989
## Prevalence             0.2845   0.1935   0.1744   0.1639   0.1838
## Detection Rate         0.2843   0.1922   0.1731   0.1614   0.1829
## Detection Prevalence   0.2854   0.1932   0.1759   0.1622   0.1833
## Balanced Accuracy      0.9991   0.9961   0.9946   0.9917   0.9973

Decision on which Prediction Model to Use:

Random Forest algorithm performed better than Decision Trees. Accuracy for Random Forest model was Accuracy : 0.9939 (95% CI: (0.9919, 0.9955)) compared to Decision Tree model with Accuracy : 0.7241 (95% CI: (0.714, 0.7339)). The Random Forests model is choosen. The expected out-of-sample error is estimated at 0.005, or 0.5%.

Submission

Here is the final outcome based on the Prediction Model 2 (Random Forest) applied against the Testing dataset

# predict outcome levels on the original Testing data set using Random Forest algorithm

predictfinal <- predict(modFitB1, testing, type="class")
predictfinal
##  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 
##  B  A  B  A  A  E  D  B  A  A  B  C  B  A  E  E  A  B  B  B 
## Levels: A B C D E