Explanation
Correct answer: B.
Choice B is correct. The charity with the greatest percent of total expenses spent on programs is represented by the highest point on the scatterplot; this is the point that has a vertical coordinate slightly less than halfway between and and a horizontal coordinate slightly less than halfway between and . Thus, the charity represented by this point has a total income of about million and spends about of its total expenses on programs. The percent predicted by the line of best fit is the vertical coordinate of the point on the line of best fit with horizontal coordinate million; this vertical coordinate is very slightly more than . Thus, the line of best fit predicts that the charity with the greatest percent of total expenses spent on programs will spend slightly more than on programs. Therefore, the difference between the actual percent () and the prediction (slightly more than ) is slightly less than .
Desmos solution:
Note: The regression predicts the percent at x=3400, and r subtracts it from the actual 92% to find the residual.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. There is no charity represented in the scatterplot for which the difference between the actual percent of total expenses spent on programs and the percent predicted by the line of best fit is as much as .
Choice C
Choice C is incorrect. This choice may result from misidentifying in the scatterplot the point that represents the charity with the greatest percent of total expenses spent on programs.
Choice D
Choice D is incorrect. This choice may result from misidentifying in the scatterplot the point that represents the charity with the greatest percent of total expenses spent on programs.