Question

Scientists examined the activity level of 7 fish at different temperatures. Fish activity was rated on a scale of 0 (no activity) to 100 (maximal activity). The temperature was measured in degrees Celsius. A computer regression printout and a residual plot are provided. Notice that the horizontal axis on the residual plot is labeled “Fitted value,” which means the same thing as “predicted value.”

What is the correlation between temperature and fish activity?

a. 0.95

b. 0.91

c. 0.45

d. –0.91

e. –0.95

Short answer

The correct option is (e)$–0.95$

Step-by-step solution

Given information

$$\begin{gathered} r^2=91\% \\ =0.910 \end{gathered}$$

Explanation

In the column coefficient of the computer output, the slope of the least-squares regression line is the row "Temperature."

$b_1=-3.2167$

The slope is negative, indicating that the variables have a negative relationship, and so the linear correlation coefficient $r$ is negative.

So

Hence, the correct option is (e).