The graph shows a logistic regression model for rabbit population data.
The given value is:
r^2=0.94
An r^2value close to 1means the model fits the data well. Since 0.94is close to 1, the regression model is a strong fit.
However, extrapolation should still be done carefully. Extrapolation means using the model to predict values outside the observed data range.
From the scatterplot, the data values appear to run roughly from about:
x=4 " to " x=20
A reasonable extrapolation range should stay close to the observed data. The interval:
x=0 " to " x=24
extends slightly beyond the data on both sides, so it is more reasonable than the much wider interval:
x=-4 " to " x=28
The statements saying extrapolation is not appropriate because r^2 < 1or because r^2 > 0.7are not valid interpretations.
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