Use the car data. run a multiple regression analysis to predict mpg using independent variables weight, drive_ratio, horsepower.

mpg weight drive_ratio horsepower
16.9 4.36 2.73 155
15.5 4.054 2.26 142
19.2 3.605 2.56 125
18.5 3.94 2.45 150
30 2.155 3.7 68
27.5 2.56 3.05 95
27.2 2.3 3.54 97
30.9 2.23 3.37 75
20.3 2.83 3.9 103
17 3.14 3.5 125
21.6 2.795 3.77 115
16.2 3.41 3.58 133
20.6 3.38 2.73 105
20.8 3.07 3.08 85
18.6 3.62 2.71 110
18.1 3.41 2.73 120
17 3.84 2.41 130
17.6 3.725 2.26 129
16.5 3.955 2.26 138
18.2 3.83 2.45 135
26.5 2.585 3.08 88
21.9 2.91 3.08 109
34.1 1.975 3.73 65
35.1 1.915 2.97 80
27.4 2.67 3.08 80
31.5 1.99 3.78 71
29.5 2.135 3.05 68
28.4 2.67 2.53 90
28.8 2.595 2.69 115
26.8 2.7 2.84 115
33.5 2.556 2.69 90
34.2 2.2 3.37 70
31.8 2.02 3.7 65
37.3 2.13 3.1 69
30.5 2.19 3.7 78
22 2.815 3.7 97
21.5 2.6 3.64 110
31.9 1.925 3.78 71

a. find the p-value of the overall model. ( input a decimal value; input 0 or 0.0001 if it is smaller than 0.0001 )

b. find the p-value for variable horsepower.