The graphs show the weekly change in the water level in a rainwater storage tank. Which of the following regression lines would result in the smallest sum of the residuals?


The residual of a plot is the difference between the actual values and the predicted values of the plot.
The regression line that would result in the smallest sum of the residuals is graph (c)
From the list of given options, we can see that the points on the regression lines of graphs (a), (b) and (d) are distant,
While almost all the points of graph (c) are on the regression line.
The closer the points to the regression line, the smaller the residuals.
Hence, the regression line that would result in the smallest sum of the residuals is graph (c)
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