Question

A mom decided to bake cookies for her daughter's class 4th grade class each month. The teacher (who has an interest in statistics) collected data on how many minutes passed (x) versus how many cookies were left on the plate (y). When she performed a least squares regression, she obtained r = -0.87.Interpret the correlation coefficient.

Answer 1

Step-by-step explanation:

Here, we want to interpret the correlation coefficient value

We are comparing how many minutes passed (x) against the number of cookies left on the table (y)

From the value we have, we can see that both indicators have a negative relationship

This shows that there is an inverse realtionship between the two.What this mean is that as one quantity increases, the other decreases.

Now,let us look at how strong the realtionship is

r is suupposed to range between -1 and 1

These are the extremes for positive and negative relationships

The closer to the extremes, the stronger the relationship

As we can see, -0.87 is close to -1

That means, it is a strong relationship

Thuus, we can say that the two quantities are strongly negatively correlated

In other terms, there is a strong negative correlation between them