1) In 2002, there were 23 states in which more than 50% of high school graduates...

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1) In 2002, there were 23 states in which more than 50% of high school graduates took the SAT test. The following printout gives the regression analysis for predicting SAT Math from SAT Verbal from these 23 states. Predictor Constant Verbal s = 7.457 Coef 185.77 0.6419 St Dev 71.45 0.142 t 2.60 0.017 4.52 0.000 R-sq = 49.3% R-sq (adj) = 46.9% (a) What is the equation of the least-squares regression line for predicting Math SAT score from Verbal SAT score? (b) Determine the slope of the regression line and interpret in the context of the problem. (c) Identify the standard error of the slope of the regression line and interpret it in the context of the problem. (d) Identify the standard error of the residuals and interpret it in the context of the problem. (e) Assuming that the conditions needed for doing inference for regression are present, what are the hypothesis being tested in this problem, what test statistic is used in the analysis, what is its value, and what conclusion would you make concerning the hypothesis? 1) In 2002, there were 23 states in which more than 50% of high school graduates took the SAT test. The following printout gives the regression analysis for predicting SAT Math from SAT Verbal from these 23 states. Predictor Constant Verbal s = 7.457 Coef 185.77 0.6419 St Dev 71.45 0.142 t 2.60 0.017 4.52 0.000 R-sq = 49.3% R-sq (adj) = 46.9% (a) What is the equation of the least-squares regression line for predicting Math SAT score from Verbal SAT score? (b) Determine the slope of the regression line and interpret in the context of the problem. (c) Identify the standard error of the slope of the regression line and interpret it in the context of the problem. (d) Identify the standard error of the residuals and interpret it in the context of the problem. (e) Assuming that the conditions needed for doing inference for regression are present, what are the hypothesis being tested in this problem, what test statistic is used in the analysis, what is its value, and what conclusion would you make concerning the hypothesis?