This question is related to simple linear regression In simp

This question is related to simple linear regression. In simple linear regression, the goal is to determine if there is a linear change in the _______ variable based on a change in the ______ variable. The dependent variable will always be a ________ variable. If a negative relationship is found, this means that as the independent variable _______, the dependent variable _______. (Select the correct answer from the choices below to correctly fill in the blank words. PLEASE EXPLAIN ANSWER!!

A. dependent, independent, categorical, increases, decreases

B. independent, dependent, categorical, increases, decreases

C. independent, dependent, categorical, decreases, increases

C. dependent, independent, numerical, increases, decreases

D. dependent, independent, numerical, decreases, increases

E. independent, dependent, numerical, decreases, increases

Solution

This question is related to simple linear regression. In simple linear regression, the goal is to determine if there is a linear change in the dependent variable based on a change in the independent variable. The dependent variable will always be a numerical variable. If a negative relationship is found, this means that as the independent variable increases , the dependent variable decreases. (Select the correct answer from the choices below to correctly fill in the blank words.

PLEASE EXPLAIN ANSWER!!

A. dependent, independent, categorical, increases, decreases

B. independent, dependent, categorical, increases, decreases

C. independent, dependent, categorical, decreases, increases

C. dependent, independent, numerical, increases, decreases

D. dependent, independent, numerical, decreases, increases

E. independent, dependent, numerical, decreases, increases

Answer C

In simple linear regression the dependent variable is a numerical continuous variable.

simple linear regression we are estimating that when there is a change in independent variable, what is the corresponding change in the dependent variable.

With the negative regression, the relation between the variables is inverse. When there is a increase in independent variable, there is decrease in the dependent variable.