4. 12ed. MBS 11.45 page 629 use Minitab 11.45 State Math SAT Scores. Refer to the SPSS simple linear regression relating y = average state SAT Math score SATMAT in 2011 with x = average state SAT Math score in 2001, Exercise 11.15 (p. 614). a. Give the null and alternative hypotheses for determin- ing whether a positive linear relationship exists be- tween y and x. b. Locate the p-value of the test on the SPSS printout. Interpret the result if a = .05. c. Find a 95% confidence interval for the slope, B. Interpret the result. SPSS Output for Exercise 11.15 Coefficients Standardized Unstandardized Coefficients Coefficients Model B Std. Error Beta Sig Constant) -97.414 26.668 -3.653 001 MATH2001 1.188 050 959 23.830 000 a. Dependent Variable: MATH2011