What is the correlation coefficient for the data shown in the table?

r =

The correct answer is:

-1.

Explanation:

When we graph this data, we can see it seems to form a straight line. To check this, we find the slope of the data using the formula

Using the first two points, we have:

Checking the next two points, we have:

Since the slope is the same between successive pairs of points, this is a linear data set.

This means the linear regression will go through every point, and will be a perfect fit. The correlation coefficient, r, of a data set is 1 if it is a perfect positive fit and -1 if it is a perfect negative fit; since the slope is decreasing, this is a negative correlation, and since it fits perfectly, it is -1.

ok

step-by-step explanation:

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