(Solved): Education reform is one of the most hotly debated subjects on both state and national policy maker ...

Education reform is one of the most hotly debated subjects on both state and national policy makers' 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 explanatory variables are used: (1) STR is the studentto-teacher ratio, (2) TSAL is the average teacher's salary in \( \$ 1,000 \) s, (3) INC is the median household income in \( \$ 1,000 \) s, and (4) SGL is the percentage of single-parent households. A portion of the data is shown in the accompanying table. Click here for the Excel Data File a. For each explanatory variable, discuss whether it is likely to have a positive or negative influence on Score. b-1. Estimate the sample regression equation. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) \begin{tabular}{|l|l|} \hline Predicted Score & \( = \) \\ \hline \end{tabular} \begin{tabular}{l|l|l|l|l} \hline\( + \) & STR & \( + \) & TSAL & \( + \) \\ \hline \end{tabular} \begin{tabular}{l|l|l|l} \hline \( \mathrm{INC} \) & \( + \) & \( \mathrm{SGI} \) \\ \hline \end{tabular} b-2. Are the signs of the slope coefficients as expected? c. What is the predicted score if \( \mathrm{STR}=18, \mathrm{TSAL}=50, \mathrm{INC}=60 \), and \( \mathrm{SGL}=5 \) ? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) d. What is the predicted score if everything else is the same as above except INC \( =80 \) ? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)