a. Is there an association? Write appropriate hypotheses.

b.Are the assumptions for regression satisfied? Explain.

c. What do you conclude?

4. Student progress The Comprehensive Test of Basic Skills (CTBS) is used by school district to assess student progress. Two of the areas tested are math and reading. A random sample of student results was reviewed to determine if there is an association between math and reading scores on the CTBS. Here are the scatterplot, the residuals plot, a histogram of the residuals, and the regression analysis of the data. Use this information to analyze the association between the math and reading scores on the CTBS. Dependent variable is: Reading CTBS No Selector R squared = 79.2$ R squared (adjusted ) = 78. 18 s = 6.574 with 20 - 2 = 18 degrees of freedom Source Sum of Squares df Mean Square F-ratio Regression 2969.3 2969.3 68.7 Residual 777.905 18 43.2169 Variable Coefficient s.e. of Coeff t-ratio prob Constant 5.23273 5.971 0.876 0.3924 Math CTBS 0.865835 0. 1045 8.29 1 0.0001 10 75 + 15.0+ 8 60 7.5 6 45 0 0-0 03 -0903 30 I-OC0-MOT 2 -7.5 30 45 60 75 30 45 60 - 15.0 15.0 Math CTBS predicted residuals