What is the expected average total SAT score for a state with average teacher sa

Question

What is the expected average total SAT score for a state with average teacher salary of $30,000 and 50% of eligible students taking the SAT?

Regression Analysis: Avg. Tot. Score versus Avg. Salary, %Takers Model Summary 32422 32 33.6877 80.56% 79.73% 78 . 08% Coefficients Term Constant Avg. Salary eef...SE Caef T-Value P-Value VIF 31.9 1.03 30.99 2.12 987.9 0.000 2.18 Take r 3 -2.779 0.228-12.16 0.000 1.61 Prediction for Avg. Tot. Score Variable Avg. Salary Setting 40 50 Take r 3 Fit SE Fit 95% CI 95% PI 936181.£s34430 (923.418, 948.945) (867.219, 1005.14)

Explanation / Answer

The regression model is

y=987.9 +2.18(avg sal) - 2.779 (takers)

Now average teacher salary of $30,000 and 50% of eligible students taking the SAT

y=987.9 +2.18(avg sal) - 2.779 (takers)

y=987.9 +2.18(30000) - 2.779 (50)

y=66248.95

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