You have data on a large group of college students Here are

You have data on a large group of college students. Here are four pairs of variables measured on these students. For each pair, is it more reasonable to simply explore the relationship between the two variables, or to view one of the variables as an explanatory variable and the other as a response variable? In the latter case, which is the explanatory variable, and which is the response variable? (For each answer, select all that apply.)

(a) number of lectures attended in your statistics course and grade on the final exam for the course

1. Grade on the final exam is the explanatory variable.

2. Number of lectures attended is the response variable.

3. Number of lectures attended is the explanatory variable.

4. Grade on the final exam is the response variable.

5. Explore the relationship between the two variables.

(b) number of hours per week spent exercising and calories burned per week

1. Explore the relationship between the two variables.

2. Calories burned per week is the response variable.

3. Number of hours per week spent exercising is the explanatory variable.

4. Number of hours per week spent exercising is the response variable.

5. Calories burned per week is the explanatory variable.

(c) hours per week spent online using Facebook and grade point average

1. Hours per week spent online using Facebook is the response variable.

2. Grade point average is the response variable.

3. Grade point average is the explanatory variable.

4. Hours per week spent online using Facebook is the explanatory variable.

5. Explore the relationship between the two variables.

(d) hours per week spent online using Facebook and IQ

Solution

a) The Number of lectures attended is the explanatory variable. and Grade on the final exam is the response variable.

So option 3, 4 are correct.

The more the students attend the lecturers the better will be their grades, So grades depend directly on Number of lectures attended

b) Since as the number of hours per week spent exercising increase the calories burned per week also increases

So to find the number of calroies burnt, we need to know how many hours excersis has been done

So

2. Calories burned per week is the response variable.

3. Number of hours per week spent exercising is the explanatory variable.

are correct

c) As more hours per week are spent online using Facebook, the grade point average decreases

So

2. Grade point average is the response variable.

4. Hours per week spent online using Facebook is the explanatory variable.

are correct

d) since IQ decreases as hours per week spent online using Facebook increases.

So

1. IQ is the response variable.

5. Hours per week spent online using Facebook is the explanatory variable

are correct