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Author Question: A study of the top 75 MBA programs attempted to predict the average starting salary (in $1000s) of ... (Read 456 times)

NguyenJ

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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 18.1849 10.3336 1.76 0.0826
Size 1.47494 0.14017 10.52 0.0000

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

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?
◦ 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.
◦ 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.
◦ 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.
◦ 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.


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Marked as best answer by NguyenJ on Feb 14, 2020

mochi09

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