Question

The residuals for data set X and data set Y were calculated and plotted on separate residual plots. If the residuals for data set X do not form a pattern, and the residuals for data set Y form a pattern, what can be concluded?

Answer 1

the residuals for data set X do not form a pattern

Answer 2

X has equal residuals across the regression line where as Y does not show any such property.

Explanation:

We are given that the residuals of data set X were plotted on a residual plot and they did not show any pattern.

Whereas, the residuals of data set y when plotted on a residual plot formed a pattern.

We could say that the residuals of data set X shows homoscedacity that is that is because there was no pattern observed on the residual plot. This means data X has a constant variance and less noise.

On the other hand, we could say that the residuals of data set Y shows hetroscedacity that is that is because there was pattern observed on the residual plot. This means data Y does not have a constant variance which is not a good thing.