# Question: A tire company has carried out tests in which rolling

A tire company has carried out tests in which rolling resistance (pounds) and inflation pressure (pounds per square inch, or psi) have been measured for psi values ranging from 20 to 45. The regression analysis is summarized in the following Minitab printout:

a. To the greatest number of decimal places in the printout, what is the least-squares regression line?

b. What proportion of the variation in rolling resistance is explained by the regression line?

c. At what level of significance does the slope of the line differ from zero? What type of test did Minitab use in reaching this conclusion?

d. At what level of significance does the coefficient of correlation differ from zero? Compare this with the level found in part (c) and explain either why they are different or why they are the same.

e. Construct the 95% confidence interval for the slope of the population regression line.

a. To the greatest number of decimal places in the printout, what is the least-squares regression line?

b. What proportion of the variation in rolling resistance is explained by the regression line?

c. At what level of significance does the slope of the line differ from zero? What type of test did Minitab use in reaching this conclusion?

d. At what level of significance does the coefficient of correlation differ from zero? Compare this with the level found in part (c) and explain either why they are different or why they are the same.

e. Construct the 95% confidence interval for the slope of the population regression line.

## Relevant Questions

For the ANOVA portion of the printout shown in Exercise 15.85, explain the exact meaning of each number in the “SS” and “F” columns. In exercise A university administrator has collected data on total Scholastic Aptitude Test (SAT) score versus freshman grade point average (GPA) for a sample of students who recently finished their first year at the university. The ...Information like that gained from this database exercise could provide management with useful insights into how respondents form their overall attitude toward a shopping area. For example, management can find out whether ...Given the printout in Exercise 16.15, determine the approximate a. 90% confidence interval for the mean rating on test 4 for units that have been rated at 300, 500, and 400 on the first three tests. b. 90% prediction ...What is the relationship between (a) the results of the hypothesis test examining whether b3 differs significantly from zero at the 0.02 level and (b) the 98% confidence interval for β3?Post your question