1 answer

Perform simple linear regression model for gasoline mileage as it depends on horsepower alone. Present a...

Question:

Perform simple linear regression model for gasoline mileage as it depends on horsepower alone. Present a copy of this regression output report.
a.​State (here) this simple linear regression equation.
b.​Overall, is this regression significant? Choose yes or no and explain the reason for your choice.
c.​Comment on the significance of the variable coefficient.
d.​How much of the variation in mpg is fairly represented by this model?
MPG 43.1 19.9 19.2 Horsepower 48 110 105 165 139 103 115 155 142 150 71 76 65 100 84 58 88 92 139 110 90 17.7 18.1 20.3 21.5
MPG 43.1 19.9 19.2 Horsepower 48 110 105 165 139 103 115 155 142 150 71 76 65 100 84 58 88 92 139 110 90 17.7 18.1 20.3 21.5 16.9 ISS 185 27.2 41.5 46.6 23.7 27.2 39.1 28.0 24.0 20.2 20.5 28.0 34.7 36.1 35.7 20.2 23.9 29.9 30.4 36.0 22.6 36.4 27.5 33.7 44.6 32.9 38.0 24.2 38.1 39.4 25.4 31.3 34.1 34.0 31.0 27.4 223 28.0 17.6 34.4 20.6 Weight 16RS 3365 3535 3445 3205 2830 3345 4360 4054 3940 2190 2044 2110 2420 2490 1455 2305 2465 3570 3155 2678 2015 1800 2015 2965 2920 2380 2850 1980 2800 2950 2560 1910 66 80 85 90 65 67 74 110 87 95 75 Transmission manual manual manual manual manual manual automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic manual manual manual manual manual manual manual manual automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic automatic manual manual manual manual manual manual 1850 100 67 120 60 70 116 75 2615 1963 3230 1968 2070 2985 1842 1985 2395 2720 2470 2890 2025 3465 3465 3380 82 80 79 85 105

Answers

1.

Mpg =50.2146 -0. 2367* horsepower

b. F significance = 0.000 < 0.05

Thus the overall regression is significant.

c. The p value for test of significance of regression is 0.00001 which is less than 0.05 thus there is significant relationship betweenbetween mpg and horsepower.

d. The coefficient of determination is 0.6198 thus 61.98% variation in the mpg is explained by the regression equation.

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