Question the-st

3.4 Two-Variable Data & Models - Residuals
0:00

The sterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown. Which of the following is closest to the difference between the y-coordinate of the data point with x equals 1 and the y-value predicted by the line of best fit at x equals 1 ?

The figure presents a sterplot in the x y plane. The numbers 0 through 6, in increments of 1, are indied on the x-axis. The numbers 6 through 12, in increments of 1, are indied on the y-axis. There are 10 data points in the sterplot. The data points begin at the point with coordinates 0 comma 12, and trend downward and to the right. The coordinates of the data points are as follows. Note that all values are approximate.
Point 1. 0, comma 12.
Point 2. 0 point 8, comma 11.
Point 3. 1, comma 12.
Point 4. 1 point 5, comma 10 point 3.
Point 5. 2, comma 10.
Point 6. 2 point 2, comma 9 point 2.
Point 7. 3, comma 9.
Point 8. 3 point 5, comma 8.
Point 9. 3 point 8, comma 8 point 3.
Point 10. 4, comma 7.

A line of best fit is also drawn. The line slants downward and to the right, passing through the point with approximate coordinates 1 comma 11, and the point with approximate coordinates 4 comma 7 point 5.

A.

1

B.

2

C.

5

D.

12

The sterplot shows the relationship between two variables, x and y . A line of best

Hard-difficulty · SAT Math · Two-Variable Data & Models — Residuals. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. The data point with x equals 1 has a y-coordinate of 12. The y-value predicted by the line of best fit at x equals 1 is approximately 11. The difference between the y-coordinate of the data point and the y-value predicted by the line of best fit at x equals 1 is 12 minus 11, or 1.

Choices B and C are incorrect and may result from incorrectly reading the sterplot. Choice D is incorrect. This is the y-coordinate of the data point at x equals 1.