An Academic Advisor Wants to Predict the Typical Starting Salary $$\hat { \beta } _ { 0 } = - 92040 \hat { \beta } 1 = 228 \mathrm {~s} = 3213 r ^ { 2 } = .66 r = .81 \mathrm { df } = 23 \quad t = 6.67$$

Multiple Choice

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.
$$\hat { \beta } _ { 0 } = - 92040 \hat { \beta } 1 = 228 \mathrm {~s} = 3213 r ^ { 2 } = .66 r = .81 \mathrm { df } = 23 \quad t = 6.67$$
Give a practical interpretation of $r = .81$ .

A) We estimate SALARY to increase $81 \%$ for every 1-point increase in GMAT.
B) We can predict SALARY correctly $81 \%$ of the time using GMAT in a straight-line model.
C) There appears to be a positive correlation between SALARY and GMAT.
D) $81 \%$ of the sample variation in SALARY can be explained by using GMAT in a straight-line model.