Mathematics
Mathematics, 09.04.2021 17:00, badpotterchris

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. x (lb) 13 22 14 6 12 18 23 25 y (Number of employees) 5 11 8 5 8 14 13 16 A button hyperlink to the SALT program that reads: Use SALT. Σx = 133; Σy = 80; Σx2 = 2,507; Σy2 = 920; Σxy = 1,496 (a) Find x, y, b, and the equation of the least-squares line. (Round your x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = 16.625 y = 10 b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) % (d) If Healthy Crunch receives 20 pounds of mail, how many employees should be assigned mail duty that day? (Round your answer to two decimal places.) employees

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