Question: Marketing: Coupons Each box of Healthy Crunch breakfast cereal contains a coupon entitling you to a free package of garden seeds. At the Healthy Crunch home office, they use the weight of incoming mail to determine how many of their employees are to be assigned to collecting coupons and mailing out seed packages on a given day. (Healthy Crunch has a policy of answering all its mail on the day it is received.) Let x = weight of incoming mail and y = number of employees required to process the mail in one working day. A random sample of 8 days gave the following data:

1. Draw a scatter diagram.
2. Find the equation of the least-squares line, and plot the line on the scatter diagram of part (a).
3. Find the correlation coefficient \(r\). Find the coefficient of determination \(r^{2}\). What percentage of variation in \(y\) is explained by the variation in \(x\) and the least squares model?
4. If Healthy Crunch receives \(15 \mathrm{lb}\) of mail, how many employees should be assigned mail duty?

\(\Sigma x=131 ; \Sigma y=81 ; \Sigma x^{2}=2435 ; \Sigma y^{2}=927 ; \Sigma x y=1487\)

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