a. Fit a multiple regression model using all four independent variables. For “made in Japan” variable create an indicator/dummy variable with “not made in Japan” as the reference/baseline group. Provide the equation of the fit line. Interpret the regression model parameters in the context of the problem.
b. What proportion of variability in the dependent variable is explained by the independent variables?
Please do on Excel.
Thanks
using excel we have
SUMMARY OUTPUT | ||||||
Regression Statistics | ||||||
Multiple R | 0.838297 | |||||
R Square | 0.702743 | |||||
Adjusted R Square | 0.671452 | |||||
Standard Error | 2.505461 | |||||
Observations | 43 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 4 | 563.9264 | 140.9816 | 22.45883 | 1.4E-09 | |
Residual | 38 | 238.5387 | 6.277334 | |||
Total | 42 | 802.4651 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 43.99318 | 8.476698 | 5.189896 | 7.33E-06 | 26.833 | 61.15336 |
Length | -0.00387 | 0.044495 | -0.08699 | 0.931133 | -0.09395 | 0.086205 |
width | -0.10644 | 0.139471 | -0.76316 | 0.450077 | -0.38878 | 0.175905 |
weight | -0.00413 | 0.000833 | -4.95462 | 1.53E-05 | -0.00581 | -0.00244 |
made in japan | -1.32279 | 0.814564 | -1.62393 | 0.112659 | -2.97179 | 0.326207 |
estimated mpg= 43.99-0.004 length -0.106 width -0.004 weight -1.323 Made in japan
Interpret the regression model parameters
for one unit increase in length, there is a corresponding 0.004 decrease in mpg.
for one unit increase in width, there is a corresponding 0.106 decrease in mpg.
for one unit increase in weight, there is a corresponding 0.004 decrease in mpg.
if vehicles are made in Japan , there is a corresponding 1.323 decrease in mpg.
Ans b ) 70.27 % variability in the dependent variable is explained by the independent variabl
a. Fit a multiple regression model using all four independent variables. For “made in Japan” variable...
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