(5.50) The data set ntchsal\" gives the mean Mathematics SAT score and mean sala
ID: 3203796 • Letter: #
Question
(5.50) The data set ntchsal" gives the mean Mathematics SAT score and mean salary of teachers in each of the 50 states and the District of Columbia in 2013.21 The correlation between mean Mathematics SAT score and mean teacher salary is -0.2782. Data Set eBook Step 1: Fill in the blanks. The least-squares line for predicting mean Mathematics SAT score from mean teacher salary(TeachSal) is: MathSAT Answer 1 Answer 2 (Teach Sal). T" Round Answer 1 to one decimal place and Answer 2 to 5 decimal places. For each additional dollar of average teacher salary in a state, the average Math SAT score is expected to go down about Answer 3 points. Round Answer 3 to three decimal places. Answer 1 Answer 22 Answer 3 Step 2: Is it reasonable to conclude that states can increase the mean Mathematics SAT score in their state by reducing teacher salaries? (Hint: Which states have the highest and lowest mean Mathematics SAT scores? Which scores have the highest and lowest cost of living?) O No O YesExplanation / Answer
Using Minitab Output:
Regression Analysis: MathSAT versus Avg. teacher salaries 2013
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 7944 7944 4.11 0.048
Avg. teacher salaries 2013 1 7944 7944 4.11 0.048
Error 49 94698 1933
Total 50 102642
Model Summary
S R-sq R-sq(adj) R-sq(pred)
43.9615 7.74% 5.86% 1.70%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 616.6 40.1 15.37 0.000
Avg. teacher salaries 2013 -0.001480 0.000730 -2.03 0.048 1.00
Regression Equation
MathSAT = 616.6 - 0.001480 Avg. teacher salaries 2013
Answer 1- 616.6
Answer 2- 0.001480
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.