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Using the Excel data set College Distance described here run a regression of completed schooling (ed) on the variables dist, female, bytest, black, Hispanic, incomehi, ownhome, dadcoll, cue80 and stwmf980. (a) The effect on an increase in distance from 1 to 2(10 to 20 miles) would change the expected years of education by how much holding all other factors constant? (three decimal places (b) Re-run the regression in part (a) but use the natural logarithm of ed (In ed) as the dependent variable. The effect on an increase in distance from 1 to 2 (10 to 20 miles) would change the expected years of education by how much holding all other factors constant? % (two decimal places) (c) Re-run the regression in part (a) but add the square of distance to the model (include both dist and dist2). What is the change in expected ed as distance increases from 1 to 2 (10 to 20 miles)? years (three decimal places) Question 2 3.33 pts Continuing with part (c) of Problem 1: Based on your results in part (d) you would conclude that the quadratic in distance is An appropriate functional form because the coefficient on dist2 is statistically significant at the 5% level unnecessary because the coefficient on dist2 is not statistically significant at the 5% level an appropriate functional form because the sum of the coefficients dist and dist2 is larger than the coefficient on dist when entered alone as in part (a). unnecessary because the natural logarithm of dist used in part (b) is superior. Continuing Problem 1: Consider 4 boys, Carlos, Tom, Darnell, and Zhen. Assume that their families all have the same values of dist, bytest, tuition, black, Hispanic, incomehi, ownhome, cue80 and stwm fg80. Further both of Carlos's parent graduated from college; Tom's father graduated from college but not his mother; Darnell's mother graduate from college but not his father, and neither of Zhen's parents graduated from college. Using the model in Problem 1(a) with the added variables momcoll and tuition, answer the following 3 questions. (a) The expected difference in education between Carlos and Zhen is years (three decimal places). (b) The expected difference in education between Carlos and Darnell is years (three decimal places). (c) The expected difference in education between Tom and Darnell is years (three decimal places). OOOOOOO BOOOOO OO OOOOOOOO 05 54 1 female 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 B black 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 D G H hispanic bytest dadcoll momcoll ownhome urban 0 39.15 1 0 1 48.87 0 0 1 0 48.74 0 0 1 1 40.4 0 0 1 0 40.48 0 0 0 0 54.71 0 0 1 0 56.07 0 0 1 0 0 54.85 0 0 1 0 0 64.74 1 0 1 0 0 56.06 0 0 1 0 0 42.22 0 0 1 1 0 61.18 0 1 1 0 59.85 0 0 1 0 58.77 1 0 1 1 53.72 1 1 1 0 61.52 0 0 1 0 52.53 0 0 1 45.01 0 0 1 0 57.71 0 0 1 59.36 1 1 1 50.93 0 0 1 0 0 59.56 1 0 1 0 0 58.46 1 1 1 0 0 55.7 0 0 0 0 0 60.81 0 0 1 1 0 406 0 0 1 0 0 49.99 0 0 1 0 0 59.69 0 0 1 0 0 60.33 0 0 1 0 0 60.14 1 0 1 0 0 68.58 1 1 1 0 0 42.61 0 0 1 0 0 58.66 1 0 1 0 0 58.14 0 0 1 0 0 58.95 0 0 1 0 0 49.37 0 0 1 0 47 25 0 1 0 0 0 61 03 1 0 0 0 54.35 0 0 0 0 0 68.12 1 1 1 0 0 70.1 1 0 1 0 0 58.61 0 0 0 0 48.57 0 0 1 0 0 51.11 0 0 1 0 39.41 0 0 1 0 0 54.98 1 0 1 1 0 41.59 1 1 0 0 55.32 0 0 1 0 1 42.23 0 0 1 0 62 0 0 1 0 1 49.65 0 0 0 0 0 44.96 0 0 1 0 37.31 0 0 1 0 0 39.87 0 0 1 0 0 56.44 0 0 1 1 0 42.65 0 0 1 K M N cueBD stwmfg dist tuition ed incomehi 1 8.09 0.2 0.88915 12 1 1 62 8.09 0.2 0.88915 12 1 62 8.09 02 0.88915 12 1 62 8.09 0.2 0.88915 12 1 56 8 09 04 0.88915 13 0 1 5.6 8.09 0.4 0.88915 12 0 72 8.85 0.4 0.84988 13 0 0 72 8.85 0.4 0.84988 15 0 1 5.9 8.09 3 0.88915 13 0 1 5.9 8.09 30.88915 15 0 1 5.9 8.09 3 0.88915 12 1 1 5.9 8.09 3 0.88915 14 1 0 72 8.85 0.1 0.84988 15 0 0 72 8.85 0.1 0.84988 17 1 0 72 8.85 0.1 0.84988 14 0 0 72 8.85 0.1 0.84988 15 0 0 72 8.85 0.1 0.84988 12 1 0 72 8.85 0.1 0.84988 12 0 0 72 8.85 0.1 0.84988 16 0 0 72 8.85 0.1 0.84988 16 1 0 7.04 0.5 0.903 13 0 0 7.7 7.04 0.903 14 1 0 7.7 7.04 0.5 0.903 13 0 0 7.7 7.04 0.5 0.903 16 0 0 77 7.04 0.5 0 903 15 0 0 8 85 0.9 0.84988 12 0 0 5.4 8.85 0.9 0.84988 12 0 1 5.1 8.85 0.5 0.84988 15 0 1 5.1 8.85 0.5 0.84988 16 0 1 5.1 8.85 0.5 0.84988 12 1 1 5.1 8.85 0.5 0.84988 16 1 1 5.1 8.85 0.5 0.84988 12 0 1 5.1 8.85 0.5 0.84988 16 1 1 5.1 8.85 0.5 0.84988 14 0 1 5.1 8.85 0.5 0.84988 16 0 1 54 8.85 02 0.84988 17 0 1 54 8.85 02 0 84988 16 0 0 8.09 0.6 0.88915 14 1 0 62 8.09 0.6 0.88915 15 1 0 6.2 8.09 0.6 0.88915 15 1 0 62 8.09 0.6 0.88915 17 1 0 6.2 0.6 0.88915 15 0 0 62 8.09 0.6 0.88915 12 0 6.2 8.09 0.6 0.88915 12 0 8.09 0.6 0.88915 15 0 72 7.04 0.1 0.903 16 0 7.04 0.1 0.903 12 0 72 7.04 01 0903 13 0 72 7.04 0.1 0.903 12 0 72 7.04 0.1 0 903 16 0 72 7.04 0.1 0.903 15 0 72 7.04 0.1 0.903 12 0 72 7.04 0.1 0.903 12 0 72 7.04 0.1 0.903 12 0 5.4 8.85 0.1 0.84988 16 0 5.4 8.85 0.1 0.84988 12 62 8.09 988 SSS DO 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 OOOOO 0 0 0 0 0 0 0 15 12 15 13 16 12 12 16 16 15 12 14 12 18 14 15 12 12 0 0 0 0 0 5.4 5.4 5.4 54 5.5 5.5 5.5 5.5 5.5 5.5 5.5 6.9 6.9 6.9 6.5 6.5 7.7 7.7 7.7 7.7 44 4.4 0 0 0 0 0 8.85 8.85 8.85 8.85 8.09 8.09 8.09 8 09 8.09 8.09 8.09 704 7.04 7.04 8.09 8.09 7.04 7.04 7.04 7.04 8.09 8.09 8.09 8.09 8.09 8.09 8.09 8.09 0 0 0 0 0 0 0 0 0 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60.05 38.32 65.87 44 65 57.74 60.38 62.77 59.73 57.06 58.02 54.74 46 28 60.4 53.21 60.93 48 44 45 31 60.22 56.42 62 27 51.84 57.55 57.62 57.5 65.31 50.62 51.23 53.55 48 52 43.41 57.5 51.32 36 37 43.8 45.14 63.26 5132 44 23 42.93 47.6 56.47 64 69 62.35 48.96 40 28 44 66 65.46 37.81 66.95 55 64 51.28 52.78 64.6 61.73 50.81 44.46 41.58 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 8.09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0.84988 0.1 0.84988 0.1 0.84988 0.1 0.84988 1.5 0.88915 1.5 0.88915 1.5 0.88915 1.5 0.88915 15 0.88915 1.5 0.88915 1.5 0.88915 2 0 903 2 0.903 2 0.903 1.5 0.88915 1.5 0.88915 2 0.903 2 0.903 2 0.903 2 0.903 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 1.2 1.38568 12 1.38568 12 1.38568 1.2 1.38568 1.2 1.38568 12 1 38568 12 1.38568 0.1 0.88915 0.1 0.88915 0.1 0.88915 0.1 0.88915 0.1 0.88915 2.5 1.11201 2.5 1.11201 2.5 1.11201 25 1.11201 25 111201 2.5 1.11201 25 1.11201 3.5 0.88915 3.5 0.88915 3.5 0.88915 3.5 0.88915 1.9 0.88915 1.9 0.88915 5 1.11201 4.4 75 7.5 7.5 7.5 75 7.5 7.5 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.3 5.3 5.3 5.3 5.3 6.1 6.1 6.1 6.1 6.1 6.1 6.1 6.5 6.5 6.5 6.5 5.4 5.4 13.5 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 17 18 16 12 12 16 14 15 14 12 14 14 15 12 12 12 16 17 12 12 12 13 16 16 12 12 12 12 12 16 16 16 14 16 16 16 12 12 0 0 0 0 0 0 0 0 8.09 8.09 7.09 7.09 7.09 7.09 7.09 7.09 709 8.09 8.09 8.09 8.09 8.09 7.69 7.69 7.69 7.69 7.69 7.69 7.69 8.09 8.09 8.09 8.09 8.09 8.09 7.69 0 1 0 DO 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 OOO 0 Using the Excel data set College Distance described here run a regression of completed schooling (ed) on the variables dist, female, bytest, black, Hispanic, incomehi, ownhome, dadcoll, cue80 and stwmf980. (a) The effect on an increase in distance from 1 to 2(10 to 20 miles) would change the expected years of education by how much holding all other factors constant? (three decimal places (b) Re-run the regression in part (a) but use the natural logarithm of ed (In ed) as the dependent variable. The effect on an increase in distance from 1 to 2 (10 to 20 miles) would change the expected years of education by how much holding all other factors constant? % (two decimal places) (c) Re-run the regression in part (a) but add the square of distance to the model (include both dist and dist2). What is the change in expected ed as distance increases from 1 to 2 (10 to 20 miles)? years (three decimal places) Question 2 3.33 pts Continuing with part (c) of Problem 1: Based on your results in part (d) you would conclude that the quadratic in distance is An appropriate functional form because the coefficient on dist2 is statistically significant at the 5% level unnecessary because the coefficient on dist2 is not statistically significant at the 5% level an appropriate functional form because the sum of the coefficients dist and dist2 is larger than the coefficient on dist when entered alone as in part (a). unnecessary because the natural logarithm of dist used in part (b) is superior. Continuing Problem 1: Consider 4 boys, Carlos, Tom, Darnell, and Zhen. Assume that their families all have the same values of dist, bytest, tuition, black, Hispanic, incomehi, ownhome, cue80 and stwm fg80. Further both of Carlos's parent graduated from college; Tom's father graduated from college but not his mother; Darnell's mother graduate from college but not his father, and neither of Zhen's parents graduated from college. Using the model in Problem 1(a) with the added variables momcoll and tuition, answer the following 3 questions. (a) The expected difference in education between Carlos and Zhen is years (three decimal places). (b) The expected difference in education between Carlos and Darnell is years (three decimal places). (c) The expected difference in education between Tom and Darnell is years (three decimal places). OOOOOOO BOOOOO OO OOOOOOOO 05 54 1 female 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 B black 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 D G H hispanic bytest dadcoll momcoll ownhome urban 0 39.15 1 0 1 48.87 0 0 1 0 48.74 0 0 1 1 40.4 0 0 1 0 40.48 0 0 0 0 54.71 0 0 1 0 56.07 0 0 1 0 0 54.85 0 0 1 0 0 64.74 1 0 1 0 0 56.06 0 0 1 0 0 42.22 0 0 1 1 0 61.18 0 1 1 0 59.85 0 0 1 0 58.77 1 0 1 1 53.72 1 1 1 0 61.52 0 0 1 0 52.53 0 0 1 45.01 0 0 1 0 57.71 0 0 1 59.36 1 1 1 50.93 0 0 1 0 0 59.56 1 0 1 0 0 58.46 1 1 1 0 0 55.7 0 0 0 0 0 60.81 0 0 1 1 0 406 0 0 1 0 0 49.99 0 0 1 0 0 59.69 0 0 1 0 0 60.33 0 0 1 0 0 60.14 1 0 1 0 0 68.58 1 1 1 0 0 42.61 0 0 1 0 0 58.66 1 0 1 0 0 58.14 0 0 1 0 0 58.95 0 0 1 0 0 49.37 0 0 1 0 47 25 0 1 0 0 0 61 03 1 0 0 0 54.35 0 0 0 0 0 68.12 1 1 1 0 0 70.1 1 0 1 0 0 58.61 0 0 0 0 48.57 0 0 1 0 0 51.11 0 0 1 0 39.41 0 0 1 0 0 54.98 1 0 1 1 0 41.59 1 1 0 0 55.32 0 0 1 0 1 42.23 0 0 1 0 62 0 0 1 0 1 49.65 0 0 0 0 0 44.96 0 0 1 0 37.31 0 0 1 0 0 39.87 0 0 1 0 0 56.44 0 0 1 1 0 42.65 0 0 1 K M N cueBD stwmfg dist tuition ed incomehi 1 8.09 0.2 0.88915 12 1 1 62 8.09 0.2 0.88915 12 1 62 8.09 02 0.88915 12 1 62 8.09 0.2 0.88915 12 1 56 8 09 04 0.88915 13 0 1 5.6 8.09 0.4 0.88915 12 0 72 8.85 0.4 0.84988 13 0 0 72 8.85 0.4 0.84988 15 0 1 5.9 8.09 3 0.88915 13 0 1 5.9 8.09 30.88915 15 0 1 5.9 8.09 3 0.88915 12 1 1 5.9 8.09 3 0.88915 14 1 0 72 8.85 0.1 0.84988 15 0 0 72 8.85 0.1 0.84988 17 1 0 72 8.85 0.1 0.84988 14 0 0 72 8.85 0.1 0.84988 15 0 0 72 8.85 0.1 0.84988 12 1 0 72 8.85 0.1 0.84988 12 0 0 72 8.85 0.1 0.84988 16 0 0 72 8.85 0.1 0.84988 16 1 0 7.04 0.5 0.903 13 0 0 7.7 7.04 0.903 14 1 0 7.7 7.04 0.5 0.903 13 0 0 7.7 7.04 0.5 0.903 16 0 0 77 7.04 0.5 0 903 15 0 0 8 85 0.9 0.84988 12 0 0 5.4 8.85 0.9 0.84988 12 0 1 5.1 8.85 0.5 0.84988 15 0 1 5.1 8.85 0.5 0.84988 16 0 1 5.1 8.85 0.5 0.84988 12 1 1 5.1 8.85 0.5 0.84988 16 1 1 5.1 8.85 0.5 0.84988 12 0 1 5.1 8.85 0.5 0.84988 16 1 1 5.1 8.85 0.5 0.84988 14 0 1 5.1 8.85 0.5 0.84988 16 0 1 54 8.85 02 0.84988 17 0 1 54 8.85 02 0 84988 16 0 0 8.09 0.6 0.88915 14 1 0 62 8.09 0.6 0.88915 15 1 0 6.2 8.09 0.6 0.88915 15 1 0 62 8.09 0.6 0.88915 17 1 0 6.2 0.6 0.88915 15 0 0 62 8.09 0.6 0.88915 12 0 6.2 8.09 0.6 0.88915 12 0 8.09 0.6 0.88915 15 0 72 7.04 0.1 0.903 16 0 7.04 0.1 0.903 12 0 72 7.04 01 0903 13 0 72 7.04 0.1 0.903 12 0 72 7.04 0.1 0 903 16 0 72 7.04 0.1 0.903 15 0 72 7.04 0.1 0.903 12 0 72 7.04 0.1 0.903 12 0 72 7.04 0.1 0.903 12 0 5.4 8.85 0.1 0.84988 16 0 5.4 8.85 0.1 0.84988 12 62 8.09 988 SSS DO 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 OOOOO 0 0 0 0 0 0 0 15 12 15 13 16 12 12 16 16 15 12 14 12 18 14 15 12 12 0 0 0 0 0 5.4 5.4 5.4 54 5.5 5.5 5.5 5.5 5.5 5.5 5.5 6.9 6.9 6.9 6.5 6.5 7.7 7.7 7.7 7.7 44 4.4 0 0 0 0 0 8.85 8.85 8.85 8.85 8.09 8.09 8.09 8 09 8.09 8.09 8.09 704 7.04 7.04 8.09 8.09 7.04 7.04 7.04 7.04 8.09 8.09 8.09 8.09 8.09 8.09 8.09 8.09 0 0 0 0 0 0 0 0 0 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60.05 38.32 65.87 44 65 57.74 60.38 62.77 59.73 57.06 58.02 54.74 46 28 60.4 53.21 60.93 48 44 45 31 60.22 56.42 62 27 51.84 57.55 57.62 57.5 65.31 50.62 51.23 53.55 48 52 43.41 57.5 51.32 36 37 43.8 45.14 63.26 5132 44 23 42.93 47.6 56.47 64 69 62.35 48.96 40 28 44 66 65.46 37.81 66.95 55 64 51.28 52.78 64.6 61.73 50.81 44.46 41.58 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 8.09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.1 0.84988 0.1 0.84988 0.1 0.84988 0.1 0.84988 1.5 0.88915 1.5 0.88915 1.5 0.88915 1.5 0.88915 15 0.88915 1.5 0.88915 1.5 0.88915 2 0 903 2 0.903 2 0.903 1.5 0.88915 1.5 0.88915 2 0.903 2 0.903 2 0.903 2 0.903 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 0.5 0.88915 1.2 1.38568 12 1.38568 12 1.38568 1.2 1.38568 1.2 1.38568 12 1 38568 12 1.38568 0.1 0.88915 0.1 0.88915 0.1 0.88915 0.1 0.88915 0.1 0.88915 2.5 1.11201 2.5 1.11201 2.5 1.11201 25 1.11201 25 111201 2.5 1.11201 25 1.11201 3.5 0.88915 3.5 0.88915 3.5 0.88915 3.5 0.88915 1.9 0.88915 1.9 0.88915 5 1.11201 4.4 75 7.5 7.5 7.5 75 7.5 7.5 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.3 5.3 5.3 5.3 5.3 6.1 6.1 6.1 6.1 6.1 6.1 6.1 6.5 6.5 6.5 6.5 5.4 5.4 13.5 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 17 18 16 12 12 16 14 15 14 12 14 14 15 12 12 12 16 17 12 12 12 13 16 16 12 12 12 12 12 16 16 16 14 16 16 16 12 12 0 0 0 0 0 0 0 0 8.09 8.09 7.09 7.09 7.09 7.09 7.09 7.09 709 8.09 8.09 8.09 8.09 8.09 7.69 7.69 7.69 7.69 7.69 7.69 7.69 8.09 8.09 8.09 8.09 8.09 8.09 7.69 0 1 0 DO 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 OOO 0