Question

researchers carried out a survey of fourth - fifth - and sixth - grade students in michigan. students were asked if good grades, athletic ability, or being popular was most important to them. the two - way table summarizes the survey data.
(a) identify the explanatory and response variables in this context
what is most important?
grade
4th grade
5th grade
6th grade
total
grades
49
50
69
168
athletic
24
36
38
98
popular
19
22
28
69
total
92
108
135
335
your answer

Explanation:

Step1: Understand the concepts

An explanatory variable is the independent variable, and the response variable is the dependent variable. In this context, grade level is likely the explanatory variable as it might influence the importance of other factors. The importance of good grades, being popular, or having athletic ability is the response variable.

Step2: Analyze the table

We look at how the values (number of students) change with respect to grade (explanatory) and the three factors (response).

Answer:

Explanatory variable: Grade. Response variables: Popular, Athletic, Grades.