Chapter 3, Problem 3.1AYK

a.

To determine

To explain: Whether it is appropriate to find the relationship that exists between the two variables. If so, identify the explanatory and response variables.

Explanation of Solution

Given:

The provided statement is, “The amount of calories consumed by a person per day and percent of body fat of that person”

In this case, the study on the number of the calories consumed by a person can be used to find the percent of body fat of that person. In this case the relationship exists between two variables. Thus, the explanatory and response variables are calories consumed by one person and person’s percentage body fat.

b.

To determine

To explain: Whether it is appropriate to find the relationship that exists between the two variables. If so, identify the explanatory and response variables.

Explanation of Solution

Given:

The provided statement is, “The weight in kilograms and height in centimeters of a person”

In this case, the study height of a person can be used to explain the weight of that person. In this case the relationship exists between two variables. Thus, the explanatory and response variables are height and weight respectively.

c.

To determine

To explain: Whether it is appropriate to find the relationship that exists between the two variables. If so, identify the explanatory and response variables.

Explanation of Solution

Given:

The provided statement is, “Inches of rain in the growing season and the yield of corn in bushels per acre”

In this case, the inches of rain that fall in growing season could have effect on the yields of corn per acre. In this case the relationship exists between two variables. Thus, the explanatory and response variables are the inches of rain that fall in growing season and yield of corn in bushels per acre.

d.

To determine

To explain: Whether it is appropriate to find the relationship that exists between the two variables. If so, identify the explanatory and response variables.

Explanation of Solution

Given:

The provided statement is, “A person’s leg length and arm length in centimeters.

In this case, both the provided variables could be response and explanatory variables. Thus, there is no specific explanatory and response variable in this case.