Statistics Homework Solutions
Problem
#10602

Regression: Multiple Choice Questions

Which one of the following statements concerning the regression line is true?
a. There is a positive linear relationship between the two variables.
b. The slope is greater that 1.
c. The intercept is at or near 30.
d. Vehicles with larger wheelbases have the worst fuel economy.

The slope of the regression line, b1, is at or near which of the following values?
a. -0.3
b. 0
c. 0.3
d. 3

The intercept of the regression line, b0, is at or near which of the following values?
a. 20
b. 30
c. 60
d. 160

Juanita Douglas just bought a new red SUV that has a wheelbase of 115 inches. What overall fuel economy can she expect to obtain?
a. 28 mpg
b. 25 mpg
c. 20 mpg
d. 15 mpg

Attached file(s):
Attachments
Qs_7 thru 10.doc  View File

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Qs_7 thru 10.doc
Use the following information:

A consumer research company collected data for 16 models of sport
utility vehicles of various sizes. The research team measured the
overall fuel economy and the distance between their front and rear axles
(wheelbase) of each vehicle. The scatter plot and line of best fit is
shown in the diagram below.

Which one of the following statements concerning the regression line
is true?

a. There is a positive linear relationship between the two variables.

b. The slope is greater that 1.

c. The intercept is at or near 30.

d. Vehicles with larger wheelbases have the worst fuel economy.

The slope of the regression line, b1, is at or near which of the
following values?

a. –0.3

b. 0

c. 0.3

d. 3

The intercept of the regression line, b0, is at or near which of the
following values?

a. 20

b. 30

c. 60

d. 160

Juanita Douglas just bought a new red SUV that has a wheelbase of 115
inches. What overall fuel economy can she expect to obtain?

a. 28 mpg

b. 25 mpg

c. 20 mpg

d. 15 mpg



Solution Summary

This solution looks at four multiple choice questions regarding regression: properties of a regression line, slope, intercept and prediction.

Solution
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