Chapter 3: Q 2. (page 171)

Teenagers and corn yield Identify the explanatory variable and the response variable for the following relationships, if possible. Explain your reasoning.
a. The height and arm span of a sample of $50$ teenagers.
b. The yield of corn in bushels per acre and the amount of rain in the growing season.

Short Answer

Expert verified

Part (a) Because a teenager's arms spread is influenced by his or her height.

Part (b) Because the amount of rain has an impact on maize productivity.

Step by step solution

Part (a) Step 1: Given information

Corn yields and teenagers For the following relationships, identify the explanatory variable and the response variable.

Part (a) Step 2: Explanation

The arm breadth and height of $50$ teens are presented as variables.

The height is the explanatory variable, and the arm span is the response variable. Because a teenager's arms spread is influenced by his or her height.

Part (b) Step 1: Explanation

"The amount of rain in the growing season and the yield of maize in bushels per acre" are the variables presented.

The amount of rain is the explanatory variable, while the response variable is corn yield. Because the amount of rain has an impact on maize productivity.