(Situation P) Below Are the Results of a Survey of America's

question 26

Short Answer

(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. $$\begin{array} { l l l l l } & \text { School } & \text { GMAT } & \text { Acc. Rate } & \text { Salary } \\\hline \text { 1. } & \text { Harvard } & 644 & 15.0 \% & \$ 63,000 \\\text { 2. } & \text { Stanford } & 665 & 10.2 & 60,000 \\\text { 3. } & \text { Penn } & 644 & 19.4 & 55,000 \\\text { 4. } & \text { Northwestern } & 640 & 22.6 & 54,000 \\\text { 5. } & \text { MIT } & 650 & 21.3 & 57,000 \\\text { 6. } & \text { Chicago } & 632 & 30.0 & 55,269 \\\text { 7. } & \text { Duke } & 630 & 18.2 & 53,300 \\\text { 8. } & \text { Dartmouth } & 649 & 13.4 & 52,000 \\\text { 9. } & \text { Virginia } & 630 & 23.0 & 55,269 \\\text { 10. } & \text { Michigan } & 620 & 32.4 & 53.300 \\\text { 11. } & \text { Columbia } & 635 & 37.1 & 52,000 \\\text { 12. } & \text { Cornell } & 648 & 14.9 & 50,700 \\\text { 13. } & \text { CMU } & 630 & 31.2 & 52,050 \\\text { 14. } & \text { UNC } & 625 & 15.4 & 50,800 \\\text { 15. } & \text { Cal-Berkeley } & 634 & 24.7 & 50,000 \\\text { 16. } & \text { UCLA } & 640 & 20.7 & 51,494 \\\text { 17. } & \text { Texas } & 612 & 28.1 & 43,985 \\\text { 18. } & \text { Indiana } & 600 & 29.0 & 44,119 \\\text { 19. } & \text { NYU } & 610 & 35.0 & 53,161 \\\text { 20. } & \text { Purdue } & 595 & 26.8 & 43,500 \\\text { 21. } & \text { USC } & 610 & 31.9 & 49,080 \\\text { 22. } & \text { Pittsburgh } & 605 & 33.0 & 43,500 \\\text { 23. } & \text { Georgetown } & 617 & 31.7 & 45,156 \\\text { 24. } & \text { Maryland } & 593 & 28.1 & 42,925 \\\text { 25. } & \text { Rochester } & 605 & 35.9 & 44,499\end{array}$$ 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. $$\beta _ { 0 } = - 92040 \quad \hat { \beta } _ { 1 } = 228 \quad s = 3213 \quad r ^ { 2 } = .66 \quad r = .81 \quad \mathrm { df } = 23 \quad t = 6.67$$
-For the situation above, write the equation of the probabilistic model of interest. A) Salary $= \beta _ { 0 } + \beta _ { 1 }$ (GMAT)
B) Salary $= \beta _ { 0 } + \beta _ { 1 } ($ GMAT $) + \epsilon$
C) GMAT $= \beta _ { 0 } + \beta _ { 1 }$ (SALARY)
D) GMAT $= \beta _ { 0 } + \beta _ { 1 } ($ SALARY $) + \epsilon$

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Definitions:

Excludable

A characteristic of a good or service that means it can be limited to only paying customers or those who meet certain criteria.

Market Demand

The total quantity of a good or service that all consumers in a market are willing and able to purchase at various prices.

Individual Demand Curves

Graphical representations showing the relationship between the price of a good and the quantity demanded by an individual consumer, holding other factors constant.

Public Goods

Goods that are non-excludable and non-rivalrous, meaning they can be used by anyone and one person's use does not reduce its availability to others.