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

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.

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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