Question

Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked if good grades, athletic ability, or be

Two-way tables
ANSWERED
asked 2021-05-18

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. \(\begin{array} {lc} & \text{Grade} \ \text {Whatis mostimportant? What is most important? ‚Äč } & \begin{array}{l|c|c|c|c} & \text { 4th grade } & \text { 5th grade } & \text { 6th grade } & \text { Total } \\ \hline \text { Grades } & 49 & 50 & 69 & 168 \\ \hline \text { Athletic } & 24 & 36 & 38 & 98 \\ \hline \text { Popular } & 19 & 22 & 28 & 69 \\ \hline \text { Total } & 92 & 108 & 135 & 335 \end{array} \ \end{array}\) Identify the explanatory and response variables in this context.

Answers (1)

2021-05-19
A response variable (or dependent variable) is 4 variable that measures an outcomeor result ofa study, while an explanatory variable (or independent variable) is a variable that we think explains or causes changes in the response variables.
We expect that students in different grades might find different things most important as students in 6th grade might find grades more important than students in 4th grade.
This then implies that grade is the explanatory variable and what is more important is the response variable.
0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours

Relevant Questions

asked 2020-10-19

Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. This two-way table summarizes the survey data. 

\(\begin{array} {|c|} & Grade \ Most important & \begin{array}{l|c|c|c|c} & \begin{array}{c} 4 \mathrm{th} \ grade \end{array} & \begin{array}{c} 5 \mathrm{th} \ \text { grade } \end{array} & \begin{array}{c} 6 \mathrm{th} \ grade \end{array} & Total \\ \hline Grades & 49 & 50 & 69 & 168 \\ \hline Athletic & 24 & 36 & 38 & 98 \\ \hline Popular & 19 & 22 & 28 & 69 \\ \hline Total & 92 & 108 & 135 & 335 \end{array} \ \end{array}\)

 Suppose we select one of these students at random. What's the probability that: The student is a sixth grader or a student who rated good grades as important?

asked 2021-08-13

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. What is most important?
\(\begin{array}{l|c|c|c|c} & \text { 4th grade } & \text { 5th grade } & \text { 6th grade } & \text { Total } \\ \hline \text { Grades } & 49 & 50 & 69 & 168 \\ \hline \text { Athletic } & 24 & 36 & 38 & 98 \\ \hline \text { Popular } & 19 & 22 & 28 & 69 \\ \hline \text { Total } & 92 & 108 & 135 & 335 \end{array}\)
Identify the explanatory and response variables in this context.

asked 2021-07-20
Researchers carried our 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.
asked 2021-02-09
Researchers carried out a survey of fourth-, fifth- and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data.
\(\begin{array}{c|c} & 4th\ grade & 5th\ grade & 6th\ grade &Total \\ \hline Grades &49&50&69&168\\ Athletic &24&36&38&98\\ Popular\ &19&22&28&69\\ \hline Total & 92 & 108 & 135 &335 \end{array}\)
Suppose we select one of these students at random. What's the probability of each of the following? The student is not a sixth-grader and did not rate good grades as important.
...