a. For the data in Exercise 11.37, test the hypothesis of no true correlation between x an...

a. For the data in Exercise 11.37, test the hypothesis of no true correlation between x and y. Use a one-sided Ha and α = 0.05.

b. Compare the result of this test to the t lest of the slope found in the output.

Exercise 11.37

The output of Exercise 11.9 is reproduced here. Calculate the correlation coefficient ryx from the R-square  value. Should its sign be positive or negative?

Exercise 11.9

As one part of a study of commercial bank branches, data are obtained on the number of independent businesses (x) located in sample zip code areas and the number of bank branches (y) located m these areas. The commercial centers of cities are excluded.

Output (StataQuest) for the analysis of the data is as follows:

a. Plot the data. Does a linear equation relating y to x appear plausible?

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b. Locate the regression equation (with y as the dependent variable).

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c. Interpret the value of  in the context of this problem.

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d. Locate the sample residual standard deviations.