ieh of the following statements is true? a) About 95.3% of the variation in tread depth is explained by the regression on miles. b) According to the least-squares regression line, the groove depth of a new tire (driven 0 miles) is predicted to be 360.64 mils. Oc) According to the least-squares regression line, we would predict a decrease in groove depth of 11.39 mils for each 1000 miles driven on a tire. d) All of the above.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 2ECP
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17. In a study, nine tires of a particular brand were driven on a track under identical
conditions. Each tire was driven a particular controlled distance (measured in
thousands of miles), and afterward the tread depthlvas measured. Tread depth is
measured in "mils." Here, 1 mil is 0.001 inch. The least-squares regression line was
computed, and added to a scatterplot of these data. On the plot, one data point is
marked with an "X". This data point will be referenced in Question 15.
ENG
* 4)
Tread Depth (Mils)
Transcribed Image Text:Listen 17. In a study, nine tires of a particular brand were driven on a track under identical conditions. Each tire was driven a particular controlled distance (measured in thousands of miles), and afterward the tread depthlvas measured. Tread depth is measured in "mils." Here, 1 mil is 0.001 inch. The least-squares regression line was computed, and added to a scatterplot of these data. On the plot, one data point is marked with an "X". This data point will be referenced in Question 15. ENG * 4) Tread Depth (Mils)
Attempt 1
The equation of the least-squares regression line is:
Tread Depth = 360.64 - 11.39x (thousands of miley)
Also, 2
= 0.953.
Which of the following statements is true?
a) About 95.3% of the variation in tread depth is explained by the regression on miles.
O b) According to the least-squares regression line, the groove depth of a new tire (driven
0 miles) is predicted to be 360.64 mils.
c) According to the least-squares regression line, we would predict a decrease in groove
depth of 11.39 mils for each 1000 miles driven on a tire.
d) All of the above.
Transcribed Image Text:Attempt 1 The equation of the least-squares regression line is: Tread Depth = 360.64 - 11.39x (thousands of miley) Also, 2 = 0.953. Which of the following statements is true? a) About 95.3% of the variation in tread depth is explained by the regression on miles. O b) According to the least-squares regression line, the groove depth of a new tire (driven 0 miles) is predicted to be 360.64 mils. c) According to the least-squares regression line, we would predict a decrease in groove depth of 11.39 mils for each 1000 miles driven on a tire. d) All of the above.
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