Among the many attributes of cars that impact fuel efficiency, the ability to accelerate from 0-to-60 MPH is rarely discussed. Download the data set that follows. Then run a regression analysis predicting fuel efficiency, as measured by MPG, based on Acceleration time as a predictor. Your results will be used in the next several problems.

Multiple R 0.420288912

R Square 0.17664277

Adjusted R Square 0.174563585

Standard Error 7.101097755

Observations 398

Anova:

Df SS MS F Significance F

Regression. 1 4284.042 4284.042 84.9577 1.82309E-18

Ressidual 396 19968.53 50.42559

Coefficients Standard Error Tstat P-value

Intercepts 4.969793004 2.043208 2.432348 0.015443

Acceleration 1.191204529 0.129236 9.21725 1.82E-18

Lower 95% Upper 95%. Lower 95% Upper 95%

Intercept 0.952902244 8.986683765 0.952902244 8.98668376

Acceleration 0.937129242 1.445279816 0.937129242 1.44527982

1. Using only the confidence interval approach, at= 0.05, the conclusion about the1hypothesis test is:
2. What is the 90% confidence interval around1?
3. How are the degrees of freedom error computed?
4. At = 0.05, is the overall model significant?
5. What is your decision about the null hypothesis for the overall model?
6. Ifxis increased by one unit, how much doesy-hat increase?
7. Predict the value ofy-hat given acceleration is 10.75.