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Chapter 3: Q 58. (page 193)

Do heavier people burn more energy? Refer to Exercises 54and 56For the regression you performed earlier, r2=0.768 and s=95.08 Explain what each of these values means in this setting.

Short Answer

Expert verified

About 76.8%of the variation between the variable has been explained by the regression line. The predicted values are expected to differ by about 95.08from the actual values.

Step by step solution

01

Given information

r2=0.768ands=95.08

02

Concept

A regression line is a straight line that depicts the change in a response variable y when an explanatory variable xchanges. By putting this x into the equation of the line, you may use a regression line to predict the value of yfor any value of x

03

Explanation

The value of r2, in this case, is 0.768, which means that the straight-line relationship between Yand X accounts for around 76.8%of the variation in Vis. s=95.08 is the standard deviation.

When utilizing the regression line, the standard deviation measures the average size of the prediction errors (residuals). When compared to metabolic rate, the residuals=95.08 do not reveal too much prediction error.

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