Assessing the "goodness" of a regression line involves considering several aspects ofthe fit. Consider the characteristics below. How does each contribute to anassessment of fit?
That is, for each characteristic, what about the given characteristicwould indicate that the regression line is "good"?
a) The shape of the scatter plotb) The correlation coefficientc) The standard deviation of the residualsd) The coefficient of determination

Question

Assessing the "goodness" of a regression line involves considering several aspects ofthe fit. Consider the characteristics below. How does each contribute to anassessment of fit?
 That is, for each characteristic, what about the given characteristicwould indicate that the regression line is "good"?
a) The shape of the scatter plotb) The correlation coefficientc) The standard deviation of the residualsd) The coefficient of determination

Quizplus · Accepted Answer

The Answer is a) Points on the graph lined up in a pattern that is consistently increasing or decreasing, rather than curved.
b) Values of r that are close to -1 or 1.
c) Small value of the standard deviation of the residuals (close to zero).
d) Value o f r2 close to 1.

Assessing the "Goodness" of a Regression Line Involves Considering Several