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College basketball is big business, with coaches' salaries, revenues, and expenses in millions of dollars. The data in the file Colleges-basketball (attached) contains the coaches' salaries and revenues for college basketball at selected schools in a recent year (data extracted from R. Adams, "Pay for Playoffs,"The Wall Street Journal, March 11-12, 2006, pp. P1, P8). You plan to develop a regression model to predict a coach's salary based on revenue.

A) Assuming a linear relationship, use the least-squares method to compute the regression coefficients b0 and b1.
B) Interpret the meaning of the Y intercept, b0, and the slope, b1, in this problem.
C) Use the prediction line developed in (a) to predict the coach's salary for a school that has revenue of $7 million.
D) Compute the coefficient of determination, r2, and interpret its meaning.
E) Perform a residual analysis on your results and evaluate the regression assumptions.
F) At the 0.05 level of significance, is there evidence of a linear relationship between the coach's salary and revenue?
G) Construct a 95% confidence interval estimate of the population slope.

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Solution Summary

A linear relationship using the least-squares methods to compute the regression coefficients are determined.

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Z-score for a College Basketball Game

In N=25 games last season the college basketball team averaged u= 76 points with a standard deviation of o= 6. in their final game of the season, the team scored 89 points. based on this information, the number of points scored in the final games was:

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-far above average
- above average but impossible to describe how much above average
- a little above average

With a population of o= 8 a score of x= 44 corresponds to a z score of z = -0.50, what is the population mean?

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