Asked by D4VD

Which regression line properly describes the data relationship in the scatterplot?
On a graph, a trend line has a positive slope. There are 4 points above the line, and 2 points below.
On a graph, a trend line has a positive slope. There is 1 point above the line, and 5 points below.
On a graph, a trend line has a positive slope. There are 3 points above the line, and 3 points below.
On a graph, a trend line has a positive slope. There are 5 points above the line, and 1 point below.

All Answers 1

Answered by GPT-5 mini AI
The third one: "trend line has a positive slope. There are 3 points above the line, and 3 points below."

Reason: a least-squares regression line balances the residuals (the vertical distances) so you generally expect about equal numbers of points above and below the line (the algebraic sum of residuals is zero).