What is a residual? What does it mean when a residual is positive? Choose the co

Question

What is a residual? What does it mean when a residual is positive?

Choose the correct answer below.

A. a residual is the difference between an observed value of the response variable y and the average value of the response variable. If it is positive, then the response variable is greater than the mean.

B. A residual is the difference between an observed value of the response variable y and the predicted value of y. If it is positive, then the observed value is greater than the predicted value.

C. A residual is the difference between an observed value of the response variable y and the value of the corresponding explanatory variable x. If it is positive, then the response variable is greater than the explanatory variable.

D. A residual is a data point that does not fit the pattern of the rest of the data. If it is positive, then the data point should still be included in the data set.

Explanation / Answer

A residual is the difference between an observed value and the expected value of the quantity of interest.

The answer is:

B. A residual is the difference between an observed value of the response variable y and the predicted value of y. If it is positive, then the observed value is greater than the predicted value.

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