Question

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

Explanation:

Step1: Understand extrapolation

Extrapolation is using a regression model to predict outside the range of the original data.

Step2: Check the range of \(x\)

The range of \(x\) in the data is \(0.14995\leq x\leq4.35\).

Step3: Analyze each option

• For \(x = 2\), \(2\) is within \(0.14995\leq x\leq4.35\) (interpolation).
• For \(x = 3\), \(3\) is within \(0.14995\leq x\leq4.35\) (interpolation).
• For \(x = 4\), \(4\) is within \(0.14995\leq x\leq4.35\) (interpolation).
• For \(x = 5\), \(5>4.35\), so it is outside the range of the original data (extrapolation).

Answer:

5