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.
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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).
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).
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