Question

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game. Estimate the location of the line of best fit. About how many points would Tyler score if he played for 40 minutes?

18 points
22 points
27 points
40 points

Answer 1

I can’t see the scatterplot you’re using. Could you upload the image or list the (minutes, points) coordinates? Then I can draw the best-fit line and compute the 40-minute prediction.

If you want to do it yourself, here’s a quick method:

1. Visually pick two points that lie on the trend line (not necessarily actual data points) — call them (x1,y1) and (x2,y2).
2. Compute the slope: m = (y2 − y1)/(x2 − x1).
3. Write the line in point–slope form: y − y1 = m(x − x1). Solve for y = mx + b.
4. Plug x = 40 into the equation to get the predicted points.

Example: if the trend looks like it goes through (10,12) and (30,24),
- slope m = (24−12)/(30−10) = 12/20 = 0.6
- line: y = 0.6x + 6
- at x = 40: y = 0.6(40) + 6 = 30 → closest choice would be 27.

If you upload the plot or the approximate coordinates of two points on the trend, I’ll calculate the exact prediction and pick the correct multiple-choice answer.