Multiple Choice Question

Question

The scatter plot below shows how the number of posters sold each day at a museum is related to the cost per poster.

The museum manager drew the line of best fit on the scatter plot. Which statement BEST interprets the meaning of the y-intercept of the line of best fit?

A.
For each $1 increase in the price of the posters, about 1 fewer poster is sold.

B.
If the posters cost $40 each, the number sold is about 0.

C.
For each $1 increase in the price of the posters, about 1 more poster is sold.

D.
If the posters are free, about 40 posters are given away.

Answer 1

To interpret the y-intercept of the line of best fit in the context of the given scatter plot, we need to understand that the y-intercept represents the value of the dependent variable (number of posters sold) when the independent variable (cost per poster) is zero.

Given this understanding, the correct interpretation would likely be that if the cost of the posters is $0 (or free), then we could estimate the number of posters sold, which is represented by the y-intercept.

Thus, the BEST interpretation of the y-intercept is:

D. If the posters are free, about 40 posters are given away.