Chapter 4.1, Problem 4.1E

(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 amount of time spent studying for a statistics exam. The response variable is the grade on the exam.

(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 thatit is more reasonable to simply explore the relationship between the two variables because both variables affect each other.

(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 thatthe explanatory variable is the inches of rain in the growing season. The response variable is the yield of corn in bushels per acre.

(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 thatit is more reasonable to simply explore the relationship between the two variables.