Question

5. The following are the average 2000 and 2002 math SAT scores in a sample of states. 1400 1200 1000 800 600 200 FIGURE 12.7 A histogram of heights. State 2002 523 517 518 577 580 486 473 528 506 599 500 500 510 508 (a) Find the estimated regression line. (b) Does it indicate a regression to the mean?

Answer 1

Data State SAT 2000 ISAT 2002 523 523 Rizona 518 517 California Indiana 501 503 Missouri 577 580 486 Florida 473 527 528 Virginia 500 506 Wisconsin 597 599 Texas 500 500 510 Vermont 508 Mean 523.7523. Q Find the estimated regression line The 2002 SAT scores were taken as Dependent Variable and 2000 SAT scores were taken The ANOVA output for the model check is provided below MS F SignificanceF Regression 1 12767.1 12767.05584 516.25 0.000000015 24.73051945 Residual 8 197.844 (Less than 0.05) Total 9 12964.9 Q b Does it indicate a regression to the mean The coefficient of correlation "r" is 0.999 100(1-r) is equal to 100 (.001) 0.1 which means the regression to mean is zero.