The director of graduate studies at a large college of business would like to predict the grade

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The director of graduate studies at a large college of business would like to predict the grade point average (GPA) of students in an MBA program based on Graduate Management Admission Test (GMAT) score. A sample of 20 students who have completed two years in the program is selected. The results are stored in GPIGMAT.
a. Construct a scatter plot and, 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 GPA for a student with a GMAT score of 600.
d. Determine the coefficient of determination, r2, and interpret its meaning in this problem.
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 GMAT score and GPA?
g. Construct a 95% confidence interval estimate of the mean GPA of students with a GMAT score of 600 and a 95% prediction interval of the GPA for a particular student with a GMAT score of 600.
h. Construct a 95% confidence interval estimate of the population slope.
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Basic Business Statistics Concepts And Applications

ISBN: 9780132168380

12th Edition

Authors: Mark L. Berenson, David M. Levine, Timothy C. Krehbiel

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