Problem
A researcher wishes to determine if the number of hours a person exercises depends on their age. The data for the sample are shown below:
|
Age
|
18
|
20
|
24
|
26
|
29
|
33
|
36
|
44
|
44
|
51
|
53
|
|
Hours of Exercise
|
7
|
11
|
8
|
5
|
7
|
4
|
9
|
5
|
1
|
3
|
2
|
1. What is the explanatory variable?
2. What is the response variable?
3. What is the form, strength and direction of this relationship?
4. Calculate the correlation coefficient (r) for the relationship between age and hours of exercise.
5. What proportion of variation in hours of exercise is explained by its relationship with age?
6. Find the equation of the least squares regression line for this relationship.