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

Question

Quizplus · Accepted Answer

If the scatterplot of $\frac { 1 } { \sqrt { y } }$ vs. x shows a strong positive linear pattern, it suggests that the relationship between Y and X is not linear, and transforming Y was necessary to achieve linearity. Therefore, the residuals plot for regression of Y on X would likely show a curved pattern, indicating non-linearity.

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

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