A consumer organization wants to develop a regression model to predict gasoline​mileage​ (as measured by miles​ per​ gallon) based on the horsepower of​ the​ car’s engine and the weight of the​ car​ (in​pounds).

A consumer organization wants to develop a regression model to predict gasoline​mileage​ (as measured by miles​ per​ gallon) based on the horsepower of​ the​ car’s engine and the weight of the​ car​ (in​pounds). A sample of 25 recent car models​was​ selected, with the results recorded in the accompanying table.
Variable Coefficient Std Error tstat ​p-value Lower​ 95%Upper​ 95%
Intercept 0.00282 0.05667 0.05 0.9608 -0.11471 0.12035
Horsepower-0.71635 0.03717 -19.27 0.0000 -0.79344 -0.63926
Weight -0.11854 0.08734 -1.36 0.1885 -0.29968 0.0626

At the 0.05 level of​ significance, determine whether each independent variable makes a significant contribution​ (individually) to the regression model.
Can we prove that there a relationship between mileage and​ horsepower?

*No.Do not reject the null. There is insufficient enough evidence to conclude that the slope of horsepower is not 0.

Yes. Reject the null. There is enough evidence to conclude that the slope of horsepower is not 0.

Can we prove that there a relationship between mileage and​ weight?

No. Do not reject the null. There is insufficient enough evidence to conclude that the slope of weight is not 0.

Yes.Reject the null. There is enough evidence to conclude that the slope of weight is not 0.

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