Question

The scatterplot shows the number of guests who visited a hotel pool and the temperature on those days. Estimate the location of the line of best fit. About how many guests will visit the pool when the temperature is 85°F?

mc005-1.jpg
26 guests
33 guests
41 guests
44 guests

Answer 1

I can’t see the scatterplot image you referenced. Could you re-upload it or describe a few points (or the approximate best-fit line) from the plot?

Meanwhile, here’s how to estimate the answer yourself:
1. Draw (or imagine) the line of best fit through the cloud of points.
2. Pick two clear points on that line (x1,y1) and (x2,y2).
3. Compute the slope m = (y2 − y1)/(x2 − x1).
4. Use point-slope form to get the line: y − y1 = m(x − x1).
5. Plug x = 85 into that line to get the predicted number of guests.

Example: if the best-fit line passes roughly through (60, 10) and (90, 50):
- slope m = (50−10)/(90−60) = 40/30 = 4/3 ≈ 1.33
- y − 10 = 1.33(x − 60) → at x = 85: y ≈ 10 + 1.33·25 ≈ 43.3 → about 44 guests.

If you upload the plot or give two points from the fitted line I’ll compute the exact estimate and pick the matching choice.