Question

4. Educational researchers desired to find out if a relationship exists between the av- erage SAT verbal score and the average SAT mathematical score. Several states were randomly selected, and their SAT average scores are recorded below. The fol- Table 1: SAT Scores X: Verbal 526 504 594 585 503 589 Y: Math 530 522 606 588 517 589 lowing quantities have been computed for your convenience: x = 3301, y 3352, 2x = 1825683, y2 = 1880574 and Dry = 1852784. Compute the sample correlation coefficient = I For testing Ho: p=0 vs Hipo, compute the test statistici Determine the critical values at a 0.05: Is the population correlation coefficient significantly different from zero? Compute the estimated regression line (least squares estimate), the intercept a = and the slope b = Predict the SAT math score when the verbal score is 550:

Answer 1