14.4 THE STARTING SALARY CASE StartSal The chairman of the marketing department at a large state university undertakes a study to relate starting salary (y) after graduation for marketing majors to grade point average (GPA) in major courses. To do this, records of seven recent marketing graduates are randomly selected, and the data shown below on the left are obtained. The MINITAB output obtained by fitting a least squares regression line to the data is below on the right. Fitted Line Plot Marketing Starting Salary, y (Thousands of Dollars) StartSal= 14.82 +5.707 GPA Graduate GPA, x 1 3.26 33.8 2 2.60 29.8 3.35 33.5 2.86 30.4 3.82 36.4 2.21 27.6 3.47 35.3 2.0 2.5 3.0 3.5 09 StartSal 4.0 GPA a Find the least squares point estimates b, and b, on the computer output and report their values. Interpret bo and b,. Does the interpretation of b, make practical sense? b Use the least squares line to compute a point estimate of the mean starting salary for all marketing graduates having a grade point average of 3.25 and a point prediction of the starting salary for an individual marketing graduate having a grade point average of 3.25. 34567 StartSal 32 30 28
14.4 THE STARTING SALARY CASE StartSal The chairman of the marketing department at a large state university undertakes a study to relate starting salary (y) after graduation for marketing majors to grade point average (GPA) in major courses. To do this, records of seven recent marketing graduates are randomly selected, and the data shown below on the left are obtained. The MINITAB output obtained by fitting a least squares regression line to the data is below on the right. Fitted Line Plot Marketing Starting Salary, y (Thousands of Dollars) StartSal= 14.82 +5.707 GPA Graduate GPA, x 1 3.26 33.8 2 2.60 29.8 3.35 33.5 2.86 30.4 3.82 36.4 2.21 27.6 3.47 35.3 2.0 2.5 3.0 3.5 09 StartSal 4.0 GPA a Find the least squares point estimates b, and b, on the computer output and report their values. Interpret bo and b,. Does the interpretation of b, make practical sense? b Use the least squares line to compute a point estimate of the mean starting salary for all marketing graduates having a grade point average of 3.25 and a point prediction of the starting salary for an individual marketing graduate having a grade point average of 3.25. 34567 StartSal 32 30 28
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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