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One use of a regression line is :

  • A.To determine if any x values are outliers
  • B.To determine if any y values are outliers
  • C.To determine if a change in x causes a change in y
  • D.To estimate the change in y for a one-unit change in x

Answer: D

One use of a regression line is to estimate the change in y for a one-unit change in x.

In the fitted line \(\hat{y} = a + bx\), the slope b is the estimated average change in y for each one-unit increase in x, and the line is used to predict y from x.

A regression line does not by itself establish cause and effect, since association is not causation. Outliers are detected by examining residuals and data plots, not by the line alone.

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