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2. A simple linear regression of per capita consumption versus the price of Dr. Schlepper cola in 20 states (n = 20) for 2020 produced

2. A simple linear regression of per capita consumption versus the price of Dr. Schlepper cola in 20 states (n = 20) for 2020 produced the following results: SSYY = 759 (Y - Y hat)2 = 652 a. What are the hypotheses to test whether or not these two variables are linearly related? HO: HA: b. If you use a MODEL test with alpha = 0.05, what is your CRITICAL value? c. Construct the ANOVA table that would accompany the regression model described above. d. What is the value of the CALCULATED value of the test statistic for the MODEL test of part (b)? e. What decision and conclusion apply to your test? f. Based upon your analysis, how many standard deviations away from zero is the estimated correlation coefficient? g. What CRITICAL value would apply if we were testing whether or not rho, the population correlation coefficient, differs from zero? Use alpha = 0.05. (4 pts)

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