Question

Which r-value represents the strongest correlation? –0.83 –0.67 0.48 0.79

Answer 1

Answer:

–0.83

Step-by-step explanation:

An r-value, or correlation coefficient, tells us the strength of the correlation in a linear regression.  This number ranges from -1 to 1; -1 is a perfect linear fit for a decreasing set of data, while 1 is a perfect linear fit for an increasing set of data.

The closer the r-value is to either -1 or 1, the stronger the correlation is.

The two negative numbers we have are -0.83 and -0.67.  The first one, -0.83, is 0.17 away from -1.  -0.67, on the other hand, is 0.33 away from -1.  The two positive numbers we have are 0.48 and 0.79.  The first one, 0.48, is 0.52 away from 1.  The second one, 0.79, is 0.21 away from 1.  The one that is closest to the perfect fit is -0.83, since it is only 0.17 away from a perfect fit.

Answer 2

It's -0.83. It has the highest absolute value, which means it has the strongest correlation. It's a strong negative correlation.