Question: for the simple linear regression with y 5 average April temperature and x 5 geographic latitude for 20 U.S. cities. a. Write null and alternative

for the simple linear regression with y 5 average April temperature and x 5 geographic latitude for 20 U.S. cities.

a. Write null and alternative hypotheses for testing whether there is a linear relationship between mean April temperature and latitude. Use proper statistical notation.

b. Use information given in the output to test the hypotheses written in part (a). State a conclusion and give a reason for the conclusion.

c. Using values given in the output, show how to calculate the t-statistic for testing the hypotheses stated in part (a).

d. What is the p-value for testing H0: r 5 0 versus Ha: r Z 0?

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