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Author Question: (Situation P) Below are the results of a survey of America's best graduate and professional schools. ... (Read 134 times)

ss2343

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on: Feb 14, 2020
(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, give a practical interpretation of 0 = -92040.
◦ The value has no practical interpretation since a GMAT of 0 is nonsensical and outside the range of the sample data.
◦ We estimate the base SALARY of graduates of a top business school to be -$92,040.
◦ We estimate SALARY to decrease $92,040 for every 1-point increase in GMAT.
◦ We expect to predict SALARY to within 2(92040) = $184,080 of its true value using GMAT in a straight-line model.
Statistics ¦ McClave, Sincich, Tamarack ¦ 12th Edition
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Marked as best answer by ss2343 on Feb 14, 2020

Pswine

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Reply #1 on: Feb 14, 2020
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ss2343

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Reply 2 on: Feb 14, 2020
Wow, this really help

amynguyen1221

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

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