Question

A residual is Multiple Choice the difference between the mean of Y and its actual value....

A residual is

Multiple Choice

  • the difference between the mean of Y and its actual value.

  • the difference between the regression prediction of Y and its actual value.

  • None of the options are correct.

  • the difference between the mean of Y conditional on X and the unconditional mean.

  • the difference between the sum of squared errors before and after X is used to predict Y.

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Answer #1

A residual is:

The difference between the regression prediction of y and its actual value.

Explanation : the above option for residual isthing but the definition of residual.Residual is denoted by e = predicted y - actual y.Reisdual is a error that is not explained by regression line.

We can see the residuals in regression as , the vertical distance between the regression line and given observations lie above and below the line.

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