A statistician is employed by a car industry. They wish to establish the relationship between a set predictors and an outcome variable, which is mpg (miles per gallon) in this case. The original datas is a data frame of 32 observations and 11 variables. Below is a snippet of the dataset. 4 Mazda RX4 Mazda RX4 Wag Datsun 710 4 4 1 Hornet 4 Drive 3 1 3 Hornet Sportabout Valiant mpg cyl disp hp drat wt qsec vs am gear carb 21.0 6 160.0 110 3.90 2.620 16.46 0 1 21.0 6 160.0 110 3.90 2.875 17.02 0 1 22.8 4 108.0 93 3.85 2.320 18.61 1 1 21.4 6 258.0 110 3.08 3.215 19.44 10 18.7 8 360.0 175 3.15 3.440 17.02 00 18.1 6 225.0 105 2.76 3.460 20.22 14.3 8 360.0 245 3.21 3.570 15.84 24.4 4 146.7 62 3.69 3.190 20.00 22.8 4 140.8 95 3.92 3.150 22.90 19.2 6 167.6 123 3.92 3.440 18.30 10 6 167.6 123 3.92 3.440 18.90 1 0 10 3 Duster 360 00 3 Merc 240D 10 4 Merc 230 10 Merc 280 4 Merc 280C 17.8 4 15088 P 775 & 190 3 07 4 070 17 2142244

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A statistician is employed by a car industry. They wish to establish the relationship between a set of
predictors and an outcome variable, which is mpg (miles per gallon) in this case. The original dataset
is a data frame of 32 observations and 11 variables. Below is a snippet of the dataset.
Mazda RX4
mpg cyl disp hp drat wt qsec vs am gear carb
6 160.0 110 3.90 2.620 16.46 01 4
4
21.0
21.0
6 160.0 110 3.90 2.875 17.02
01 4
4
Mazda RX4 Wag
Datsun 710
4 108.0 93 3.85 2.320 18.61
11
4
1
Hornet 4 Drive
3
Hornet Sportabout
22.8
21.4
18.7
18.1
14.3
3
6 258.0 110 3.08 3.215 19.44 10
8 360.0 175 3.15 3.440 17.02 00
6 225.0 105 2.76 3.460 20.22 10
8 360.0 245 3.21 3.570 15.84 00
Valiant
3
Duster 360
3
4
Merc 240D
24.4 4 146.7 62 3.69 3.190 20.00 1 0
4 140.8 95 3.92 3.150 22.90
4
Merc 230
10
4
22.8
19.2
6 167.6 123 3.92
3.440 18.30
1
4
Merc 280
Merc 280C
17.8
6 167.6 123 3.92 3.440 18.90 1
4
16.4
3 3
Merc 450SE
Merc 450SL
Merc 450SLC
8 275.8 180 3.07 4.070 17.40 00
8 275.8 180 3.07 3.730 17.60 0 0
15.2 8 275.8 180 3.07 3.780 18.00 00
17.3
3
3
The forward method for selecting the optimal set of predictors can use the AIC or
BIC. Describe the model selection method, including the definition of the AIC
and BIC.
000
Transcribed Image Text:A statistician is employed by a car industry. They wish to establish the relationship between a set of predictors and an outcome variable, which is mpg (miles per gallon) in this case. The original dataset is a data frame of 32 observations and 11 variables. Below is a snippet of the dataset. Mazda RX4 mpg cyl disp hp drat wt qsec vs am gear carb 6 160.0 110 3.90 2.620 16.46 01 4 4 21.0 21.0 6 160.0 110 3.90 2.875 17.02 01 4 4 Mazda RX4 Wag Datsun 710 4 108.0 93 3.85 2.320 18.61 11 4 1 Hornet 4 Drive 3 Hornet Sportabout 22.8 21.4 18.7 18.1 14.3 3 6 258.0 110 3.08 3.215 19.44 10 8 360.0 175 3.15 3.440 17.02 00 6 225.0 105 2.76 3.460 20.22 10 8 360.0 245 3.21 3.570 15.84 00 Valiant 3 Duster 360 3 4 Merc 240D 24.4 4 146.7 62 3.69 3.190 20.00 1 0 4 140.8 95 3.92 3.150 22.90 4 Merc 230 10 4 22.8 19.2 6 167.6 123 3.92 3.440 18.30 1 4 Merc 280 Merc 280C 17.8 6 167.6 123 3.92 3.440 18.90 1 4 16.4 3 3 Merc 450SE Merc 450SL Merc 450SLC 8 275.8 180 3.07 4.070 17.40 00 8 275.8 180 3.07 3.730 17.60 0 0 15.2 8 275.8 180 3.07 3.780 18.00 00 17.3 3 3 The forward method for selecting the optimal set of predictors can use the AIC or BIC. Describe the model selection method, including the definition of the AIC and BIC. 000
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