Using test data on 43 vehicles, an analyst fitted a regression to predict City MPG (miles per gallon in city driving) using as predictors Length (length of car in inches), Width (width of car in inches), and Weight (weight of car in pounds).

R2 0.682

Adjusted R2 0.658 n 43

R 0.826 k 3

Standard error 2.558 Dependent variable City MPG

ANOVA table

Source SS df MS F p-value

Regression 547.3722 3 182.4574 27.90 8.35E-10

Residual 255.0929 39 6.5408

802.4651 42

Regression output

Variables coefficients standard error t statistics

Intercept 39.4492 8.1678 4.830

Length (in) -0.0016 0.0454 -0.035

Width (in) -0.0463 0.1373 -0.337

Weight (lbs) -0.0043 0.0008 -5.166

1. Referring to the F statistic and its p-value, what do you conclude about its overall fit of this model?

The regression is ? based on the F calc and p-value

1. Do you see evidence that some predictors were helpful?