91影视

The table represents the model with different predictor variables along with the respective P-values,\({R^2}\), Adjusted\({R^2}\)and the regression equations.

A Honda Civic weighs 2740 lb, it has an engine displacement of 1.8 L, and its highway fuel consumption is 36 mi/gal.

The city fuel consumption is predicted using seven different models as stated in the table. With reference to exercise 11, the best regression equation is:

\(CITY = - 3.15 + 0.819\;HWY\), as it has maximum value for R-squared and adjusted R-squared measure and there is no significant increase in the measure with the additional variable in the study.

The best predicted value of city fuel consumption is given as,

\(\begin{array}{c}{\rm{CITY}} = - 3.15 + 0.819\left( {36} \right)\\ = 26.334\end{array}\)

Thus, the best predicted value of city fuel consumption is 26.3 mi/gal.

A predicted value is a good estimate as the model chosen for prediction has a high value of R-squared and adjusted R-squared measurement.

Thus, the predicted value is likely to be a good estimate because of lower P-value (0.0000) and optimal adjusted\({R^2}\)value (0.920).

The predicted value may not be accurate as the number of observations taken for prediction is only 21, which is relatively low.