Answer :
To solve the problem, let's understand what the y-intercept of a line of best fit represents in the context of this scatter plot.
A line of best fit is used to represent the relationship between two variables in a scatter plot. Here, we're looking at the number of sandwiches eaten and the amount of potato salad eaten (in cups).
The y-intercept of a line in the context of a graph is the point where the line crosses the y-axis, which is when the x-value (in this case, the number of sandwiches eaten) is 0.
In the given scatter plot, the line of best fit starts at the point (0, 2).
This means:
- When the number of sandwiches eaten is 0, the y-value, which represents the amount of potato salad eaten, is 2 cups.
This interpretation is clearly explained in option A:
A. People who do not eat any sandwiches will probably eat about 2 cups of potato salad.
Therefore, in the context of the scatter plot, the y-intercept suggests that if someone does not eat any sandwiches, they are expected to eat approximately 2 cups of potato salad.