4. You study the determinants of attending college. You run a linear probability model: College 0.300+0.050 grades +0.001 faminc-0.005- male +u, = (0.059) (0.005) (0.0005) (0.034) where College is a dummy variable that takes the value of 1 if a person decides to go to college and 0. otherwise. The independent variables include high school grades (1 = worst, 10 best), annual family income ("famine", measured in $1000), and a binary variable indicating male. (a) Use the estimated coefficients to explain how high school grades and family income affect the probability of attending college? Which of these effects are significant at the 1% level? (b) Predict the probability of attending college for a student with the following characteristics: (1) has a grade-4; (2) has a family income = $200,000; (3) female 1=

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