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Question: Consider the data given in the following table.

x        10       20       30        40        50        60

y        12       15       19        21        25        30

a. Find the least squares regression line and the linear correlation coefficient r.

b. Suppose that each value of y given in the table is increased by 5 and the x values remain unchanged. Would you expect r to increase, decrease, or remain the same? How do you expect the least squares regression line to change?

c. Increase each value of y given in the table by 5 and find the new least squares regression line and the correlation coefficient r. Do these results agree with your expectation in part b?

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