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Question 45/49
The scatterplot shows data on the usage of a computer ' s CPU over time. The graphed regression function has an r^2value of 0.25.

What is the appropriate range of x-values for extrapolation?

What is the appropriate range of x-values for extrapolation?
Correct Answer: C
The value r^2measures how well a regression model fits the data.
Here:
r^2=0.25
This is a low r^2value, meaning the model explains only about:
25%
of the variation in the data.
That indicates a weak fit. When a model has a weak fit, using it for extrapolation is not reliable because predictions outside the data range may be very inaccurate.
Since:
0.25 < 0.3
the best conclusion is that extrapolation is not appropriate because the regression model does not fit the data well enough.
Therefore, the correct answer is:
# ( " C " )
Here:
r^2=0.25
This is a low r^2value, meaning the model explains only about:
25%
of the variation in the data.
That indicates a weak fit. When a model has a weak fit, using it for extrapolation is not reliable because predictions outside the data range may be very inaccurate.
Since:
0.25 < 0.3
the best conclusion is that extrapolation is not appropriate because the regression model does not fit the data well enough.
Therefore, the correct answer is:
# ( " C " )
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