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1. After graduation ceremonies at a university, six graduates were asked whether

ID: 3121682 • Letter: 1

Question

1. After graduation ceremonies at a university, six graduates were asked whether they were in favor of (identified by 1) or against (identified by 0) abortion. Some information about these graduates is shown below

Graduate Sex Age Abortion Issue Class Rank

Marissa F 24 1 1

Jason M 22 1 2

Wendy F 41 0 3

Edward M 38 0 20

Jennifer F 25 1 4

Tim M 19 0 8

a. How many elements are in the data set?

b. How many variables are in the data set?

c. How many observations are in the data set?

d. Which of the above variables (Sex, Age, Abortion Issue, Class rank) are categorical and which are quantitative variables?

e. Are arithmetic operations appropriate for the variable "abortion issue"?

2. Forty shoppers were asked if they preferred the weight of a can of soup to be 6 ounces, 8 ounces, or 10 ounces. Below you are given their responses.

6 6 6 10 8 8 8 10 6 6

10 10 8 8 6 6 6 8 6 6

8 8 8 10 8 8 6 10 8 6

6 8 8 8 10 10 8 10 8 6

a. Construct a frequency distribution and graphically represent the frequency distribution.

b. Construct a relative frequency distribution and graphically represent the relative frequency distribution

The following data represent the daily supply (y in thousands of units) and the unit price (x in dollars) for a product.

Daily Supply (y) Unit Price (x)

5 2

7 4

9 8

12 5

10 7

13 8

16 16

16 6

a. Compute and interpret the sample covariance for the above data.

b. Compute the standard deviation for the daily supply.

c. Compute the standard deviation for the unit price.

d. Compute and interpret the sample correlation coefficient.

Explanation / Answer

(2)

Below is the frequency table

Weight Frequency Relative Frequency 6 13 0.3333 8 17 0.4359 10 9 0.2308