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.”

Which of the following gives a correct interpretation of s in this setting?

a. For every 1°C increase in temperature, fish activity is predicted to increase by 4.785 units.

b. The typical distance of the temperature readings from their mean is about 4.785°C.

c. The typical distance of the activity level ratings from the least-squares line is about 4.785 units.

d. The typical distance of the activity level readings from their mean is about 4.785 units.

e. At a temperature of 0°C, this model predicts an activity level of 4.785 units.

Short answer

The correct option is (c).

Step-by-step solution

Given information

Explanation

The average distance forecast is $4.78505$The actual activity rating from the regression line is$4.78505$ The standard deviation of the residuals represented by the symbol s, and the standard deviation of the residuals indicates the average distance between actual and anticipated values.

Hence, the correct option is (c)