ECO 3151 Chapter 3-4: 3151 Solution of Chapter 3 and Chapter 4 home work problems

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1 (p. 106). (i) hsperc is defined so that the smaller it is, the lower the student"s standing in high school. Everything else equal, the worse the student"s standing in high school, the lower is his/her expected college gpa. (ii) just plug these values into the equation: Colgpa = 1. 392 . 0135(20) + . 00148(1050) = 2. 676. (iii) the difference between a and b is simply 140 times the coefficient on sat, because hsperc is the same for both students. So a is predicted to have a score . 00148(140) . 207 higher. (iv) with hsperc fixed, colgpa. Now, we want to find sat such that. = . 5, so . 5 = . 00148( sat) or sat = . 5/(. 00148) 338. Perhaps not surprisingly, a large ceteris paribus difference in sat score almost two and one-half standard deviations is needed to obtain a predicted difference in college gpa or a half a point.

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