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=−0.006x+42.541. A twelfth car weighs 3,425 pounds and gets 12 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? Car Weight_(pounds),_x Miles_per_Gallon,_y 1 3767 21 2 3989 19 3 3534 20 4 3175 22 5 2581 27 6 3736 20 7 2606 26 8 3778 19 9 3313 21 10 2996 26 11 2757 27

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.4: Linear Regression

Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

See similar textbooks

Related questions

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. For these data, the least-squares regression line is y=−0.006x+42.541. A twelfth car weighs 3,425
pounds and gets 12 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?

Car Weight_(pounds),_x Miles_per_Gallon,_y
1 3767 21
2 3989 19
3 3534 20
4 3175 22
5 2581 27
6 3736 20
7 2606 26
8 3778 19
9 3313 21
10 2996 26
11 2757 27

Expert Solution