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Concept explainers
Choose explanatory and response For the following pairs of variables, identify the response variable and the explanatory variable.
- a. Number of square feet in a house and assessed value of the house.
- b. Political party preference (Democrat, Independent, Republican) and gender.
- c. Annual income and number of years of education.
- d. Number of pounds lost on a diet and type of diet (low-fat, low-carbohydrate).
a.
![Check Mark](/static/check-mark.png)
Find the response and the explanatory variables.
Explanation of Solution
Response variable:
A variable that is changed because of the influence of the explanatory variable is termed as response variable. The other name for response variable is dependent variable.
Explanatory variable:
A variable that can be changed or controlled in an experiment is termed as explanatory variable. The change in the response variable is explained by the explanatory variable.
The given pair of variables are number of square feet in a house and assessed value of the house. Here, the assessed value depends on the number of square feet of the house.
Therefore, the response variable is “assessed value” and the explanatory variable is “square feet”.
b.
![Check Mark](/static/check-mark.png)
Discover the response and the explanatory variables.
Explanation of Solution
The given pair of variables are political party preference and gender. Here, the variable political party depends on the gender.
Therefore, the response variable is “political party” and the explanatory variable is “gender”.
c.
![Check Mark](/static/check-mark.png)
Identify the response and the explanatory variables.
Explanation of Solution
The given pair of variables are annual income and number of years of education. Here, the variable annual income depends on the number of years of education.
Therefore, the response variable is “income” and the explanatory variable is “education”.
d.
![Check Mark](/static/check-mark.png)
Obtain the response and the explanatory variables.
Explanation of Solution
The given pair of variables are number of pounds lost on diet and type of diet. Here, the variable pounds lost depends on the type of diet, which are categorized by low-fat and low-carbohydrate.
Therefore, the response variable is “pounds lost” and the explanatory variable is “type of diet”.
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Chapter 3 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
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