Each box of one brand of breakfast cereal contains a coupon entitling purchasers to a free package of vegetable seeds. At the home office, they use the weight of the incoming mail to determine the 2number of employees to be assigned to collecting coupons and sending out seed packages each day. (The company policy is that all mail received will be answered the same day.) Following is the data for a random sample of 8 days: Weight of Mail (pounds) 11 20 16 6 12 18   23 25                     Number of Employees 6 10 9 5 8 14   13 16   Draw a scatter diagram for the data and discuss its shape. Using Excel, conduct the following regression modules for the data: Linear Quadratic Third Degree Polynomial Exponential Logarithmic Power Determine which model is the best and state the reason for your choice What percentage of the variation in the number of employees its explained by the regression model chosen? If the company receives 15 pounds of mail, how many employees should be assigned for mail duty?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Each box of one brand of breakfast cereal contains a coupon entitling purchasers to a free package of vegetable seeds.

At the home office, they use the weight of the incoming mail to determine the 2number of employees to be assigned to collecting coupons and sending out seed packages each day.

(The company policy is that all mail received will be answered the same day.)

Following is the data for a random sample of 8 days:

Weight of Mail (pounds)

11

20

16

6

12

18

 

23

25

 

 

 

 

 

 

 

 

 

 

Number of Employees

6

10

9

5

8

14

 

13

16

 

  • Draw a scatter diagram for the data and discuss its shape.
  • Using Excel, conduct the following regression modules for the data:
  • Linear
  • Quadratic
  • Third Degree Polynomial
  • Exponential
  • Logarithmic
  • Power
  • Determine which model is the best and state the reason for your choice
  • What percentage of the variation in the number of employees its explained by the regression model chosen?
  • If the company receives 15 pounds of mail, how many employees should be assigned for mail duty?
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