A scatterplot of $\frac { 1 } { \sqrt { y } }$ vs. x shows a strong positive linear pattern. It is probably true that
A) accurate predictions can be made for Y even if extrapolation is involved.
B) the residuals plot for regression of Y on X shows a curved pattern.
C) large values of X are associated with large values of Y.
D) the correlation between X and Y is near +1.0.
E) the scatterplot of Y vs X also shows a linear pattern.

Question

Quizplus · Accepted Answer

The transformation $\frac{1}{\sqrt{y}}$ vs. x showing a linear pattern suggests that the original relationship between Y and X is non-linear, likely curved.

A Scatterplot Of 1y\frac { 1 } { \sqrt { y } }y​1​

A Scatterplot Of $\frac { 1 } { \sqrt { y } }$