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A large school district is reevaluating its teachers salaries. They have decided to use regression analysis to predict mean teacher salaries at each high school. The researcher uses years of experience and subject matter (Math, science, English, Other) to predict Salary. The raw data is given in the table below; Salary Years Experience Subject 24,265 8 English 27,140 5 English 22,195 2 Math 37,950 15 Science 32,890 11 Other 40,250 14 Math 36,800 9 Math 30,820 6 Science 44,390 21 Math 24,955 2 Science 18,055 1 English 23,690 7 English 48,070 20 Science 42,205 16 Math 24,265 6 Other 27,140 8 Other 36,875 7 Math 37,950 9 Math 32,890 1 English 40,280 4 Science Use excel to analyze the data. Use the following; Y=Dependent Variable; X1= Years of Experience; X2=Math; X3= Science; X4= English A) What is the prediction equation? b) What is the correlation coefficient C) Is the overall model significant? Why? D) What is the coefficient of determination? E) What is the MSE? F) List the P-Value of each independent variable and say whether it is significant to the model or not. Use a 0.05 level of significance. G) What is the predicted mean salary for a gym teacher with 10 years experience?
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