Question

I'm needing help with Correlationsand Causation.You might have to zoom in to see the photo butthere's questions similar to this that I can't seemto understand.A research doctor is studying patients to determine if there is acorrelation between age and the amount of time a patientexercises each week. She studies 500 patients from variousage groups, records the data, and finds that the correlationcoefficient is 0.12.What can she conclude about the relationship between aperson's age and the amount of time he or she spendsexercising each week?Please help.

Answer 1

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

`Rate\text{ of change =}(y_2-y_1)/(x_2-x_1)`
`\text{Let (}x_1,y_1)=(0,60)\text{ and }(x_2,y_2)=(12,104)\text{.}`

The rate of change between (0,60) and (12, 104) is

`Rate\text{ of change =}(104-60)/(60-0)=(44)/(60)=0.73`

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.