Question

The results of a linear regression are shown below.

y=ax+b
a=-1.15785
b=139.3171772
r=-0.896557832
r^2=0.8038159461
Which phrase best describes the relationship between x and y?
A. Strong negative correlation
B. Strong positive correlation
C. Weak positive correlation
D. Weak negative correlation

Answer 1

Hello!

As we can see, our a value, which would be the coefficient of
`x`, which determines our slope, is negative, meaning that this whole line is negative.

Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.

If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.