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A Study of the Top 75 MBA Programs Attempted to Predict

Question 94

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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: Least Squares Linear Regression of Salary

Predictor Variables  Coefficient  Std Error  T  P  Constant 18.184910.33361.760.0826 Size 1.474940.1401710.520.0000\begin{array}{lrrcl}\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\end{array}

R-Squared 0.6027\quad\quad\quad \quad 0.6027 \quad Resid. Mean Square (MSE) 532.986 532.986
Adjusted R-Squared 0.5972 \quad0.5972\quad Standard Deviation 23.0865\quad\quad\quad 23.0865


In addition, we are told that the coefficient of correlation was calculated to be r=0.7763r = 0.7763 . Interpret this result.


A) There is almost no linear relationship between the amount of tuition charged and the average starting salary variables.
B) There is a very weak positive linear relationship between the amount of tuition charged and the average starting salary variables.
C) There is a fairly strong positive linear relationship between the amount of tuition charged and the average starting salary variables.
D) There is a fairly strong negative linear relationship between the amount of tuition charged and the average starting salary variables.

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