Question

The scatterplot below shows the relationship between Algebra I final exam scores and Physics final exam scores.

A scatter plot is shown with data points showing a strong positive relationship. The x-values of the data points extend from 60 to 100, and the y-values of the data points extend from 70 to 100.

Which of these statements are true? Choose all that are correct.

A.
The association between the variables appears to be proportional.

B.
A line of best fit cannot be approximated because the relationship is not linear.

C.
An appropriate line of best fit is
y
=
0.75
x
+
25
.

D.
An appropriate line of best fit has a y-intercept of 50.

E.
The relationship is linear.

F.
The relationship is negative.

Answer 1

Correct answers: C and E.

Reasoning:
- The scatter shows a strong positive, roughly linear relationship, so E is true and F is false.
- A proportional relationship would pass through the origin (0,0); this data does not, so A is false.
- Because the pattern is linear, a line of best fit can be approximated, so B is false.
- The proposed line y = 0.75x + 25 gives y = 70 at x = 60 and y = 100 at x = 100, matching the data range and is an appropriate fit (C true).
- A y-intercept of 50 would not match the plotted points (D false).