Which of the following statements concerning the residuals (disturbance terms) in linear regression modeling discussed in DS 303 is true? To receive credit, check ALL that apply. The sum of the residuals is always 0. The sample standard deviation of the residuals is called regression standard error. We assume that the residuals have the same variability. The value of a residual is the difference between an observed value of the response and the predicted value of the response that one would obtain from the least-squares regression equation.
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The sum of the residuals is always 0: This is true because the least-squares regression line minimizes the sum of the squared residuals, and the positive and negative residuals cancel each other out. So, the sum of the residuals is 0. Show more…
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