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?