Solve the problem. An academic advisor wants to predict the typical starting salary of a graduate at a top business school using the GMAT score of the school as a predictor variable. A simple linear regression of SALARY versus GMAT using 25 data points is shown below. Po = -92040 51 = 228 s = 3213 r? = .66 r = .81 df = 23 t = 6.67 Give a practical interpretation of r = .81. O We estimate SALARY to increase 81% for every 1-point increase in GMAT. O We can predict SALARY correctly 81% of the time using GMAT in a straight-line model. O 81% of the sample variation in SALARY can be explained by using GMAT in a straight-line model. O There appears to be a positive correlation between SALARY and GMAT.

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Solve the problem.
An academic advisor wants to predict the typical starting salary of a graduate at a top business school using the GMAT score of the school
as a predictor variable. A simple linear regression of SALARY versus GMAT using 25 data points is shown below.
So = -92040 s1 = 228 s = 3213 r² = .66 r = .81 df = 23 t = 6.67
Give a practical interpretation of r = .81.
O We estimate SALARY to increase 81% for every 1-point increase in GMAT.
O We can predict SALARY correctly 81% of the time using GMAT in a straight-line model.
81% of the sample variation in SALARY can be explained by using GMAT in a straight-line model.
O There appears to be a positive correlation between SALARY and GMAT.
Transcribed Image Text:Solve the problem. An academic advisor wants to predict the typical starting salary of a graduate at a top business school using the GMAT score of the school as a predictor variable. A simple linear regression of SALARY versus GMAT using 25 data points is shown below. So = -92040 s1 = 228 s = 3213 r² = .66 r = .81 df = 23 t = 6.67 Give a practical interpretation of r = .81. O We estimate SALARY to increase 81% for every 1-point increase in GMAT. O We can predict SALARY correctly 81% of the time using GMAT in a straight-line model. 81% of the sample variation in SALARY can be explained by using GMAT in a straight-line model. O There appears to be a positive correlation between SALARY and GMAT.
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