Each box of Healthy Crunch breakfast cereal contains a coupon entitling you to a free package of

Question:

Each box of Healthy Crunch breakfast cereal contains a 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 (in pounds) and y = number of employees required to process the mail in one working day. A random sample of 8 days gave the following data:

Complete parts (a) through (c), given ˆ‘x = 131, ˆ‘y = 81, ˆ‘x2 = 2435, ˆ‘Sy2 = 927, and ˆ‘xy = 1487.
(a) Draw a scatter diagram for the data.

(c) Find the sample correlation coefficient r and the coefficient of determination r2. What percentage of variation in y is explained by the least-squares model?
(d) If Healthy Crunch receives 15 pounds of mail, how many employees should be assigned mail duty that day?

Coupon
A coupon or coupon payment is the annual interest rate paid on a bond, expressed as a percentage of the face value and paid from issue date until maturity. Coupons are usually referred to in terms of the coupon rate (the sum of coupons paid in a...