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Author Question: (Situation P) Below are the results of a survey of America's best graduate and professional schools. ... (Read 231 times)

Beheh

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(Situation P)  Below are the results of a survey of America's best graduate and professional schools.  The top 25 business schools, as determined by reputation, student selectivity, placement success, and graduation rate, are listed in the table.  For each school, three variables were measured: (1) GMAT score for the typical incoming student; (2) student acceptance rate (percentage accepted of all students who applied); and (3) starting salary of the typical graduating student.

SchoolGMATAcc. RateSalary
1.Harvard64415.0%             $63,000
2.Stanford66510.260,000
3.Penn64419.455,000
4.Northwestern64022.654,000
5.MIT65021.357,000
6.Chicago63230.055,269
7.Duke63018.253,300
8.Dartmouth64913.452,000
9.Virginia63023.055,269
10.Michigan62032.453.300
11.Columbia63537.152,000
12.Cornell64814.950,700
13.CMU63031.252,050
14.UNC62515.450,800
15.Cal-Berkeley63424.750,000
16.UCLA64020.751,494
17.Texas61228.143,985
18.Indiana60029.044,119
19.NYU61035.053,161
20.Purdue59526.843,500
21.USC61031.949,080
22.Pittsburgh60533.043,500
23.Georgetown61731.745,156
24.Maryland59328.142,925
25.Rochester60535.944,499

The academic advisor wants to predict the typical starting salary of a graduate at a top business school using GMAT score of the school as a predictor variable.  A simple linear regression of SALARY versus GMAT using the 25 data points in the table are shown below.
-----------------------------------------------------------------------
β0 = -92040    1 = 228     s = 3213     r2 = .66     r = .81    df = 23     t = 6.67
-----------------------------------------------------------------------


For the situation above, which of the following is not an assumption required for the simple linear regression analysis to be valid?
◦ The errors of predicting SALARY have a mean of 0.
◦ SALARY is independent of GMAT.
◦ The errors of predicting SALARY are normally distributed.
◦ The errors of predicting SALARY have a variance that is constant for any given value of GMAT.


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Marked as best answer by Beheh on Feb 14, 2020

ndhahbi

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Beheh

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Reply 2 on: Feb 14, 2020
Excellent


bigcheese9

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Reply 3 on: Yesterday
Great answer, keep it coming :)

 

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