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 number 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(pounds) 10 20 16 6 12 18 23 25 Number of employees 6 10 9 5 8 14 13 16 a.Draw a scatter diagram for the data and discuss its shape. b.Using Excel conduct the following regression modules for the data: I.Linear II.Quadratic III.Third degree polynomia lIV.Exponentia lV.Logarithmic VI.Power c.Determine which model is the best and state the reason for your choice.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 number 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(pounds) | 10 | 20 | 16 | 6 | 12 | 18 | 23 | 25 | |
| Number of employees | 6 | 10 | 9 | 5 | 8 | 14 | 13 | 16 |
a.Draw a
b.Using Excel conduct the following regression modules for the data:
I.Linear
II.Quadratic
III.Third degree polynomia
lIV.Exponentia
lV.Logarithmic
VI.Power
c.Determine which model is the best and state the reason for your choice.
d.What percentage of the variation in the number of employees is explained by the regression model chosen?
e.If the company receives 15 pounds of mail, how many employees should be assigned for mail duty?
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