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Author Question: A study of the top MBA programs attempted to predict the average starting salary (in $1000's) of ... (Read 348 times)

Wadzanai

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on: Feb 14, 2020
A study of the top 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 and the average GMAT score of the program's students. The results of a regression analysis based on a sample of 75 MBA programs is shown below:

Least Squares Linear Regression of Salary

Predictor
Variables Coefficient Std Error T P VIF
Constant -203.402 51.6573 -3.94 0.0002 0.0
Gmat 0.39412 0.09039 4.36 0.0000 2.0
Tuition 0.92012 0.17875 5.15 0.0000 2.0

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 and the GMAT score was 675. The results are shown here:

95% confidence interval for E(Y): ($126,610, $136,640)
95% prediction interval for Y: ($90,113, $173,160)

Which of the following interpretations is correct if you want to use the model to estimate Y for a single MBA program?
◦ We are 95% confident that the average of all starting salaries for graduates of all MBA programs that charge $75,000 in tuition and have an average GMAT score of 675 will fall between $90,113 and $173,16,30.
◦ We are 95% confident that the average starting salary for graduates of a single MBA program that charges $75,000 in tuition and has an average GMAT score of 675 will fall between $126,610 and $136,640.
◦ We are 95% confident that the average starting salary for graduates of a single MBA program that charges $75,000 in tuition and has an average GMAT score of 675  will fall between $90,113 and $173,16,30.
◦ We are 95% confident that the average of all starting salaries for graduates of all MBA programs that charge $75,000 in tuition and have an average GMAT score of 675 will fall between $126,610 and $136,640.
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Marked as best answer by Wadzanai on Feb 14, 2020

brittiany.barnes

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Reply #1 on: Feb 14, 2020
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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Abigail Flores

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Reply #2 on: Apr 17, 2021
Thank you


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