Rohen decided to collect data to determine if the size of a student's home and the student's age are correlated. He determined the data to have a correlation coefficient of 0.02. What does this r value indicate?

A correlation coefficient of 0.02 indicates that the data are not correlated.

Explanation:

The correlation coefficient is a number between - 1 and 1, inclusive, which measures how good is the association of a collection of data and whether it is a positive correlation or a negative one.

Naming r the value of the correlation coefficient you can say:

| r | ≤ 1

If r = 1, the correlation is perfect and positive, meaning that the data are linearly correlated and when one variable increases the other also increase. if r = - 1, the correlation is perfect and negative, meaning that the data are linearly correlated and when one variable increases the other decreases. A correlation coefficient close to zero means that the variables are not correlated at all.

In general, you can tell that a correlation greater than 0.8 is generally described as strong, and a correlation less than 0.5 is generally described as weak.

0.02 is very cloes to zero and tells that there is no linear relationship between the two variables.

It has no correlation