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4. Educational researchers desired to find out if a relationship exists between the average SAT verbal score and the average SAT mathematical score. Several states were randomly selected, and their SAT average scores are recorded below. The following quantities have been computed for your convenience: ? x = 3301, ? y = 3352, ? x^2 = 1825683, ? y^2 = 1880574 and ? xy = 1852784. Compute the sample correlation coefficient r = . For testing H0 : ? = 0 vs H1 : ? ? 0, compute the test statistic: Determine the critical values at ? = 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: __

          4. Educational researchers desired to find out if a relationship exists between the average SAT verbal score and the average SAT mathematical score. Several states were randomly selected, and their SAT average scores are recorded below. The following quantities have been computed for your convenience: ? x = 3301, ? y = 3352, ? x^2 = 1825683, ? y^2 = 1880574 and ? xy = 1852784. Compute the sample correlation coefficient r = __. For testing H0 : ? = 0 vs H1 : ? ? 0, compute the test statistic: __ Determine the critical values at ? = 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: __

4. Educational researchers desired to find out if a relationship exists between the average SAT verbal score and the average SAT mathematical score. Several states were randomly selected, and their SAT average scores are recorded below. The following quantities have been computed for your convenience: ? x = 3301, ? y = 3352, ? x^2 = 1825683, ? y^2 = 1880574 and ? xy = 1852784. Compute the sample correlation coefficient r = . For testing H0 : ? = 0 vs H1 : ? ? 0, compute the test statistic: Determine the critical values at ? = 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:

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