I 1. FILE MCAS. Education reform is one of the most hotly debated subjects on both state and national policymakers\" list of socioeconomic topics. Consider a linear regression model that relates school expenditures and family background to student performance in Massachusetts using 224 school districts. The response variable is the mean score on the MCAS (Massachusetts Comprehensive Assessment System) exam given to 10th graders. Four predictor variables are used: (1) STR is the studenttoteacher ratio in %. (2) TSAL is the average teacher's salary in $10005, (3) INC is the median household income in $10005, and (4) SGL is the percentage of singlerparent households. A portion of the data is shown in the accompanying table. Score STR TSAL INC SGL 22100 19.00 44.01 48.89 4.70 230.67 I730 40.17 43.91 4.60 230.67 19.20 44.79 47.64 5.10 a. For each predictor variable. discuss whether it is likely to have a positive or negat've influence on Score. b. Find the sample regression equation. Are the signs of the slope coefcients as expected? c. What is the predicted score if STR =18, TSAL = 50, INC = 60, and SGL = 5? d. What is the predicted score if everything else is the same as in part c except INC = 80