Question

A 2-column table with 10 rows. The first column is labeled x with entries 0.5, 1, 1, 1.5, 2, 2, 2.5, 3.5, 3.5, 4. The second column is labeled y with entries 1, 1, 2, 3, 2, 5, 4, 5, 6, 7. A graph shows the horizontal axis numbered 1 to 4 and the vertical axis numbered 1 to 7. A line increases from 0 to 4.
The regression calculator shows the relationship between the hours Devin spent playing a video game, x, and the levels he achieved, y.

Which number of hours can be used to make an extrapolation of the level he could achieve?

2
3
4
5

Answer 1

Extrapolation involves making predictions about values outside the range of the data provided. In your data, the values for \( x \) (the hours Devin spent playing) range from 0.5 to 4. Since you are interested in predicting levels for the number of hours played, you'll need to choose a value for \( x \) that is outside this range.

The values of \( x \) given are: 0.5, 1, 1, 1.5, 2, 2, 2.5, 3.5, 3.5, 4.

The options you provided are:

- 2 (within the range)
- 3 (within the range)
- 4 (within the range)
- 5 (outside the range)

Since 5 is the only value that exceeds the maximum of 4 hours in your dataset, it can be used for extrapolation.

So, the correct answer is 5 hours.