A researcher examines the factors that influence student performance. She gathers data on 224 school districts in Massachusetts. The response variable is the students’ mean score on a standardized test (Score). She uses four explanatory variables in her analysis: the student-to-teacher ratio (STR), the average teacher’s salary (TSAL), the median household income (INC), and the percentage of single family households (SGL). A portion of the data is shown in the accompanying table; the entire data set, labeled MCAS, can be found on the text website.

a. Estimate: Score = β0 + β1STR + β2TSAL + β3INC + β4SGL + and show the regression results in a well-formatted table.
b. Evaluate the potential problems of multicollinearity and changing variability in this regressionmodel.

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TSAL INC Score STR (%) (in $1,000s) (in $1,000s) SGL (%) 227.00 19.00 44.01 48.89 4.70 230.67 17.90 40.17 43.91 4.60 230.67 19.20 44.79 47.64 5.10