Chapter 4.1, Problem 4.2E

(a)

To determine

To verify that it is more reasonable to simply explore the variables or to view one of the variable as an explanatory variable and the other as a response variable and in the latter case, which is explanatory and which is response variable.

Explanation of Solution

A response variable is a variable that measures an outcome or result of a study, while an explanatory variable is a variable that we think explains or causes changes in the response variables. Thus, we have in this part that the explanatory variable is the family's income. The response variable is the years of education their eldest child completes.

(b)

To determine

To verify that it is more reasonable to simply explore the variables or to view one of the variable as an explanatory variable and the other as a response variable and in the latter case, which is explanatory and which is response variable.

Explanation of Solution

A response variable is a variable that measures an outcome or result of a study, while an explanatory variable is a variable that we think explains or causes changes in the response variables. Thus, we have in this part that the explanatory variable is the square footage of the house. The response variable is the price of a house.

(c)

To determine

To verify that it is more reasonable to simply explore the variables or to view one of the variable as an explanatory variable and the other as a response variable and in the latter case, which is explanatory and which is response variable.

Explanation of Solution

A response variable is a variable that measures an outcome or result of a study, while an explanatory variable is a variable that we think explains or causes changes in the response variables. Thus, we have in this part that it is more reasonable to simply explore the relationship between the two variables.

(d)

To determine

To verify that it is more reasonable to simply explore the variables or to view one of the variable as an explanatory variable and the other as a response variable and in the latter case, which is explanatory and which is response variable.

Explanation of Solution

A response variable is a variable that measures an outcome or result of a study, while an explanatory variable is a variable that we think explains or causes changes in the response variables. Thus, we have in this part that it is more reasonable to simply explore the relationship between the two variables.