Question

A scatter plot is shown below. A line of best fit passes through point A and another point
in the data set.

Use the drop-down menus to describe through which additional point the line of best fit
passes and use that line to determine the approximate value for y when x = 9.

y

10

9

8

7

6

BO

5

4

3

2

A

1

1

0

1 2 3 4 5 6 7 8 9 10

X

Click the arrows to choose an answer from each menu.

A line of best fit passes through point A and point
A point on this line would have a y-value between

Choose ...

Choose ...

4

when x = 9.

Answer 1

To answer your question accurately, I need more specific details about the scatter plot, particularly the locations of point A and another point on the line of best fit, as well as the general trend of the data. However, since I can't see the actual scatter plot, I'll guide you through the reasoning.

1. **Identifying the additional point**: You mentioned that the line of best fit passes through point A and another point in the data set. If you can identify another point on the line visually, that would be your answer for the dropdown menu.

2. **Estimating the y-value when x = 9**: Generally, you would look at the scatter plot to see where your line of best fit would intersect the vertical line at x = 9. You would then determine the approximate y-value from that intersection.

For example, if the (x, y) coordinates for point A are (x_A, y_A) and you find that when you extend the line of best fit to x = 9, you closely intersect a y-value of, say, 6, you would select:
- "A line of best fit passes through point A and point (another identified point)."
- "A point on this line would have a y-value between 5 and 7 when x = 9."

Substituting the desired options based on what you observe would give you the appropriate answer.

If you have specific coordinates or descriptions of the scatter plot, I would be happy to help you analyze those!