Question

Irina plotted the number of participants in a summer camp program on a coordinate plane to create the following scatterplot. Which graph shows the line of best fit for this scatterplot?

Answer 1

I don't see the scatterplot or the answer choices. Could you upload the plot (or the four candidate graphs)?

If you want to pick the line yourself, here are clear steps you can use to decide which graph is the best fit:

1. Determine the overall trend (increasing or decreasing) — the line should follow that direction.
2. Place the line so roughly half the points are above it and half below it (this balances vertical residuals).
3. Make sure the line passes through the “middle” of the cloud of points, not necessarily through any particular point.
4. Check endpoints: the line should go through the central tendency of the points at the left and the right of the cloud.
5. Quick check for candidate lines: count how many points lie above and below each candidate; prefer the one with the most balanced counts and with the smallest-looking vertical distances overall.

If you post the image or the four candidate graphs, I’ll pick the best one and explain why.