# Question

In considering whether to implement a program where selected entering freshmen would be required to take a precalculus refresher course before moving on to calculus, a university’s business college has given mathematical proficiency tests to a sample of entering freshmen. The college hopes to use this score and the Scholastic Aptitude Test (SAT) quantitative score in predicting how well a student would end up scoring on the standardized final exam in calculus later in his or her studies. Data are available for a sample of nine entering freshmen, and their scores are shown here.

a. From these data, obtain the multiple regression equation estimating calculus final exam score on the basis of the other two variables; then determine and interpret the approximate 90% confidence interval for the mean calculus final exam score for entering freshmen who score 70 on the math proficiency test and 500 on the quantitative portion of the SAT.

b. Determine the 90% prediction interval for the calculus final exam score for an entering freshman who scored 70 on the math proficiency test and 500 on the quantitative portion of the SAT.

a. From these data, obtain the multiple regression equation estimating calculus final exam score on the basis of the other two variables; then determine and interpret the approximate 90% confidence interval for the mean calculus final exam score for entering freshmen who score 70 on the math proficiency test and 500 on the quantitative portion of the SAT.

b. Determine the 90% prediction interval for the calculus final exam score for an entering freshman who scored 70 on the math proficiency test and 500 on the quantitative portion of the SAT.

## Answer to relevant Questions

For the multiple regression equation obtained in Exercise 16.11, determine the approximate a. 95% confidence interval for the mean number of new visitors for clubs using a 5-column-inch ad and offering an $80 discount. b. ...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? Information describing 98 of the top automobile dealership groups in the United States is provided in computer database file DEALERS. For each group, the data include (1) total group revenue during 1999, (2) the number of ...For the regression equation obtained in Exercise 16.19, analyze the residuals by (a) Constructing a histogram, (b) Utilizing the normal probability plot, and (c) Plotting the residuals versus each of the independent ...A safety researcher has measured the speed of automobiles passing his vantage point near an interstate highway. He has also recorded the number of occupants and whether the driver was wearing a seat belt. The data are shown ...Post your question

0