Please provide worked solution to questions 5, 6, 7.

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#* (STR) -0.67* (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 -0.437 -0.434 (0.306) (0.303) (0.300) % English learners > -12.6 median? (Binary, HiEL) (9.8) HIEL X STR D.80 (0.56) % Eligible for free lunch -0.521** -0.582** -0.587** -0.709* * -0.653* (0.077) (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)QUESTION 5 Model (2) in Table 9.2 of Stock and Watson (on page 20 of Lecture Slides 7) regresses TestScore on STR, Percentage of English Learners (English), Percentage of Students with lunch support (Lunch), and logarithm of District Income. Reestimate the regression model by adding the interaction term, English x STR, in Model (2). What is the estimated coeffcient on STR {m decimal places)? QUESTION 6 Using the estimated model in Question 5 that included an interaction term, you test H0: Test Score does not depend on English. What is the pvalue for this test {m decimal places}? QUESTION 7 Using the estimated model in Question 5 that included an interaction term, predict the change in TestScore associated with reducing STR by 2 students at the sample means of the variables on the righthand side. To be specic, you should subtract the tted value of TestScore evaluated at the sample means of the STR, English, Lunch, and District Income from the tted value of TestScore (evaluated at the sample means) but after reducing STR by 2 from its sample mean {t decimal places)