5 Model (2) in Table 9.2 of Stock and Watson ) regresses TestScore on STR, Percentage...
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5 Model (2) in Table 9.2 of Stock and Watson ) regresses TestScore on STR, Percentage of English Learners (English), Percentage of Students with lunch support (Lunch), and logarithm of District Income. Re-estimate the regression model by adding the interaction term, English x STR, in Model (2). What is the estimated coeffcient on STR (two decimal places)? QUESTION 6 Using the estimated model in Question 5 that included an interaction term, you test Ho: Test Score does not depend on English. What is the p-value for this test (two decimal places)? Example: Test Scores and Class Size Sw Section 9.4 TABLE 9.2 Multiple Regression Estimates of the Student-Teacher Ratio and Test Scores: Data from Massachusetts Dependent variable: average combined English, math, and science test score in the school district, fourth grade; 220 observations. Regressor (1) (2) (3) (4) (5) (6) Student-teacher ratio -1.72** -0.69* -0.64 12.4 -1.02** -0.67 (STR) (0.50) (0.27) (0.27) (14.0) (0.37) (0.27) STR -0.680 (0.737) STR 0.011 (0.013) % English learners -0.411 (0.306) -0.437 -0.434 (0.303) (0.300) % English learners > -12.6 median? (Binary, HiEL) (9.8) HIEL XSTR 0.80 (0.56) % Eligible for free lunch -0.521** (0.077) -0.582** -0.587** -0.709** -0.653** (0.097) (0.104) (0.091) (0.72) District income (logarithm) 16.53** (3.15) District income -3.07 -3.38 -3.87* -3.22 (2.35) (2.49) (2.49) (2.31) District income 0.164 0.174 0.184* 0.165 (0.085) (0.089) (0.090) (0.085) District income -0.0022* -0.0023 -0.0023 -0.0022 (0.0010) (0.0010) (0.0010) (0.0010) Intercept 739.6** 682.4** 744.0** 665.5** 759.9** 747.4** (8.6) (11.5) (21.3) (81.3) (23.2) (20.3) (continued) (Table 9.2 continued) F-Statistics and p-Values Testing Exclusion of Groups of Variables Regressor All STR variables and interactions = 0 STR, STR=0 Income, Income HiEL, HIEL STR SER R (1) (2) (3) (4) (5) (6) 2.86 (0.038) 4.01 (0.020) 0.45 (0.641) 7.74 ( <0.001) 7.75 ( <0.001) 5.85 (0.003) 6.55 (0.002) 1.58 (0.208) 14.64 8.69 8.61 8.63 8.62 8.64 0.063 0.670 0.676 0.675 0.675 0.674 These regressions were estimated using the data on Massachusetts elementary school districts described in Appendix 9.1. Stan- dard errors are given in parentheses under the coefficients, and p-values are given in parentheses under the F-statistics. Individ- ual coefficients are statistically significant at the *5% level or **1% level. 5 Model (2) in Table 9.2 of Stock and Watson ) regresses TestScore on STR, Percentage of English Learners (English), Percentage of Students with lunch support (Lunch), and logarithm of District Income. Re-estimate the regression model by adding the interaction term, English x STR, in Model (2). What is the estimated coeffcient on STR (two decimal places)? QUESTION 6 Using the estimated model in Question 5 that included an interaction term, you test Ho: Test Score does not depend on English. What is the p-value for this test (two decimal places)? Example: Test Scores and Class Size Sw Section 9.4 TABLE 9.2 Multiple Regression Estimates of the Student-Teacher Ratio and Test Scores: Data from Massachusetts Dependent variable: average combined English, math, and science test score in the school district, fourth grade; 220 observations. Regressor (1) (2) (3) (4) (5) (6) Student-teacher ratio -1.72** -0.69* -0.64 12.4 -1.02** -0.67 (STR) (0.50) (0.27) (0.27) (14.0) (0.37) (0.27) STR -0.680 (0.737) STR 0.011 (0.013) % English learners -0.411 (0.306) -0.437 -0.434 (0.303) (0.300) % English learners > -12.6 median? (Binary, HiEL) (9.8) HIEL XSTR 0.80 (0.56) % Eligible for free lunch -0.521** (0.077) -0.582** -0.587** -0.709** -0.653** (0.097) (0.104) (0.091) (0.72) District income (logarithm) 16.53** (3.15) District income -3.07 -3.38 -3.87* -3.22 (2.35) (2.49) (2.49) (2.31) District income 0.164 0.174 0.184* 0.165 (0.085) (0.089) (0.090) (0.085) District income -0.0022* -0.0023 -0.0023 -0.0022 (0.0010) (0.0010) (0.0010) (0.0010) Intercept 739.6** 682.4** 744.0** 665.5** 759.9** 747.4** (8.6) (11.5) (21.3) (81.3) (23.2) (20.3) (continued) (Table 9.2 continued) F-Statistics and p-Values Testing Exclusion of Groups of Variables Regressor All STR variables and interactions = 0 STR, STR=0 Income, Income HiEL, HIEL STR SER R (1) (2) (3) (4) (5) (6) 2.86 (0.038) 4.01 (0.020) 0.45 (0.641) 7.74 ( <0.001) 7.75 ( <0.001) 5.85 (0.003) 6.55 (0.002) 1.58 (0.208) 14.64 8.69 8.61 8.63 8.62 8.64 0.063 0.670 0.676 0.675 0.675 0.674 These regressions were estimated using the data on Massachusetts elementary school districts described in Appendix 9.1. Stan- dard errors are given in parentheses under the coefficients, and p-values are given in parentheses under the F-statistics. Individ- ual coefficients are statistically significant at the *5% level or **1% level.
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Principles Of Econometrics
ISBN: 9781118452271
5th Edition
Authors: R Carter Hill, William E Griffiths, Guay C Lim
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