1.The administrator of a school board was analyzing the average mathematics test scores in the schools under her control.She wondered whether the dramatic differences in mathematics test scores among the schools was related to the percentage of teachers in each school who had Maths degrees, the mean age of the Maths teachers and the average annual income of the Maths teachers.She took a random sample of 40 schools and produced the following Excel output.

following Excel output. SUMMARY OUTPUT Regression Statistics Multiple R 0.597 R Square 0.857 Adjusted R Square 0.3 03 Standard Error 7.724 Heading 1 Observations 40 df SS MS F Significance F Regression 3 1192.732 397.577 6.663 3E-04 Residual 36 2148.058 59.668 Total 39 3340.791 Coefficients Standard Error t Stat P-value Intercept 32.367 7.278 4.901 2E-05 Math Degree 0.201 0.069 3.543 0.001 Age 0.216 0.185 1.321 0.388 Income 0.102 0.152 0.872 0.004