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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 鈥淔itted value,鈥 which means the same thing as 鈥減redicted value.鈥

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

a. For every 1掳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掳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掳C, this model predicts an activity level of 4.785 units.

Short Answer

Expert verified

The correct option is (c).

Step by step solution

01

Given information

02

Explanation

The average distance forecast is 4.78505The actual activity rating from the regression line is4.78505 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)

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