A Study of the Top 75 MBA Programs Attempted to Predict

Multiple Choice

A study of the top 75 MBA programs attempted to predict the average starting salary (in $1000's) of graduates of the program based on the amount of tuition (in $1000's) charged by the program. The results of a simple linear regression analysis are shown below:
$$\begin{array}{l}\text { Least Squares Linear Regression of Salary }\\\begin{array} { l r c c l } \text { Predictor } & & & & \\\text { Variables } & \text { Coefficient } & \text { Std Error } & \text { T } & \text { P } \\\text { Constant } & 18.1849 & 10.3336 & 1.76 & 0.0826 \\\text { Size } & 1.47494 & 0.14017 & 10.52 & 0.0000 \\& & & \\\text { R-Squared } & 0.6027 & \text { Resid. Mean Square (MSE) } & 532.986 \\\text { Adjusted R-Squared } &0.5972 & \text { Standard Deviation } & 23.0865\end{array}\end{array}$$
The model was then used to create 95% confidence and prediction intervals for y and for E(Y) when the tuition charged by the MBA program was $75,000. The results are shown here:
95% confidence interval for E(Y) : ($123,390, $134,220)
95% prediction interval for Y: ($82,476, $175,130)

Which of the following interpretations is correct if you want to use the model to predict Y for a single MBA programs?

A) We are 95% confident that the average of all starting salaries for graduates of all MBA programs that charge $75,000 in tuition will fall between $82,476 and $175,130.
B) We are 95% confident that the average starting salary for graduates of a single MBA program that charges $75,000 in tuition will fall between $82,476 and $175,130.
C) We are 95% confident that the average starting salary for graduates of a single MBA program that charges $75,000 in tuition will fall between $123,390 and $134,220.
D) We are 95% confident that the average of all starting salaries for graduates of all MBA programs that charge $75,000 in tuition will fall between $123,390 and $134,220.