Question
The data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year.
The data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. For these data, the least-squares regression line is y=0.005x+39.133.
A twelfth car weighs 3,425 pounds and gets 13 miles per gallon.(a) Compute the coefficient of determination of the expanded data set. What effect does the addition of the twelfth car to the data set have on
R2?
(b) Is the point corresponding to the twelfth car influential? Is it an outlier?
CarWeight_(pounds),_xMiles_per_Gallon,_y 1 3771 22 2 3981 21 3 3528 22 4 3174 21 5 2582 27 6 3727 20 7 2601 26 8 3774 18 9 3308 20 10 2990 27 11 2754 25
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