Question

what is the correlation coefficient of the linear fit of data shown below, to the nearest hundredth?
a. -0.95
b. 1.00
c. -1.00
d. 0.95

Explanation:

Step1: Observe data trend

The data points show a strong positive - linear trend.

Step2: Recall correlation coefficient range

The correlation coefficient $r$ ranges from - 1 to 1. A perfect positive linear relationship has $r = 1$, a perfect negative linear relationship has $r=-1$, and no linear relationship has $r = 0$.

Step3: Eliminate incorrect options

Options A and C are for negative correlations, so they can be eliminated. Since the points do not form a perfect straight - line (a perfect fit), $r
eq1$. So option B is also incorrect.

Answer:

D. 0.95