The comprehensive Test of Basic Skills (CTBS) is used by school districts 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 is the regression analysis of the data.

Dependent variable is: Reading CTBS

R-squared=79.2% R-squared (adjusted) = 78.1%

s=6.574 with 20-2=28 degrees of freedom

a) What is the estimate for true y-intercept? Interpret this value.

b) What is the estimate of the true slope? Interpret this value

c) What is the estimate for the true standard deviation of the regression? Interpret this value.

d) What is the standard error of the slope? Interpret this value.

Source Sum of Squares df Mean Square F-ratio Regression 2969.3 1 2969.3 68.7 Residual 777.905 18 43.2169 Variable Coefficient s.e. of coefficient t-ratio prob. Constant 5.23273 5.971 0.876 0.3924 Math CTBS 0.865835 0.1045 8.29