23.(8 pts) An algebra test is given to students at the beginning of a statistics course....

23.(8 pts) An algebra test is given to students at the beginning of a statistics course. The algebra test scores and the final statistics grades are collected for several randomly selected students and the results are given below. x = Algebra 80 78 75 63 84 y = Statistics 77 92 87 81 68 a. n = _____ r = ___________b0 =________ b1 = _____________ ?bar = __________

b. Test the claim that there is a linear correlation using the Critical Value Approach. c. Find the equation of the regression line. d. Predict the Statistics score when the Algebra score is 47.

Solutions

Expert Solution

n = 5

r = -0. 353

b0 = 112.1181

b1 = - 0.4094

Ybar = 81

Yhat = 112.1181 - 0.4094 X1

Yhat = 112.1181 - 0.4094 * 47 = 92.8763

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