We get the following points from the given table.
(0,63), (12, 104), (20, 137),...,(60,106).
Consider the formula for the rate of change is
[tex]Rate\text{ of change =}\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\text{Let (}x_1,y_1)=(0,60)\text{ and }(x_2,y_2)=(12,104)\text{.}[/tex]The rate of change between (0,60) and (12, 104) is
[tex]Rate\text{ of change =}\frac{104-60}{60-0}=\frac{44}{60}=0.73[/tex]2)
The given correlation coefficient is 0.12.
Recall that correlation coefficient are used to measure the strength of the relationship between two variables.
Correlation coefficient values less than +0.8 or greater than -0.8 are not considered significant.
Given correlation coefficient is 0.12 is less than 0.8.
So this is not significant.
The answer is
There is no evidence of a relationship between age and the amount of time spent for exercise.
