Which line is a linear model for the data?

Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. The vertical axis is labeled Variable B. Points are plotted at (one, two), (two, nine), (three, five), (four, seven), (five, three), (six, eight), (seven, six), (eight, seven), (nine, ten). A line is drawn through point (one, two) and point (nine, ten).

Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. The vertical axis is labeled Variable B. Points are plotted at (one, two), (two, nine), (three, five), (four, seven), (five, three), (six, eight), (seven, six), (eight, seven), (nine, ten). A line is drawn through point (three, five) and point (five, three).

Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. The vertical axis is labeled Variable B. Points are plotted at (one, two), (two, nine), (three, five), (four, seven), (five, three), (six, eight), (seven, six), (eight, seven), (nine, ten). A line is drawn through point (one, two) and point (three, ten).

Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. The vertical axis is labeled Variable B. Points are plotted at (one, two), (two, nine), (three, five), (four, seven), (five, three), (six, eight), (seven, six), (eight, seven), (nine, ten). A line is drawn through point (six, eight) and point (eight, seven).

Once we determine that a set of data is linear using the correlation coefficient, we can use the regression line to make predictions. As we learned above, a regression line is a line that is closest to the data in the scatter plot, which means that only one such line is a best fit for the data.

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