Question

Question
A biology student is investigating the claim that the temperature can be predicted by counting cricket chirps. She has collected the data in the table below and came up with the regression equation T=42.2 +0.21r
Would using this model to predict the temperature for 100 chirps per minute be an example of interpolation or extrapolation? Explain.



(1 point)
Responses

Using the model to predict the temperature for a chirp rate of 100 chips per minute is interpolation because 100 chirps per minute is inside the range of the values of r in the data set.
Using the model to predict the temperature for a chirp rate of 100 chips per minute is interpolation because 100 chirps per minute is inside the range of the values of r in the data set.

Using the model to predict the temperature for a chirp rate of 100 chirps per minute is interpolation because 100 chirps per minute is outside the range of the values of r in the data set.
Using the model to predict the temperature for a chirp rate of 100 chirps per minute is interpolation because 100 chirps per minute is outside the range of the values of r in the data set.

Using the model to predict the temperature for a chirp rate of 100 chirps per minute is extrapolation because 100 chirps per minute is outside the range of the values of r in the data set.
Using the model to predict the temperature for a chirp rate of 100 chirps per minute is extrapolation because 100 chirps per minute is outside the range of the values of r in the data set.

Using the model to predict the temperature for a chirp rate of 100 chirps per minute is extrapolation because 100 chirps per minute is inside the range of the values of r in the data set.
Using the model to predict the temperature for a chirp rate of 100 chirps per minute is extrapolation because 100 chirps per minute is inside the range of the values of r in the data set.
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Answer 1

Using the model to predict the temperature for a chirp rate of 100 chirps per minute is extrapolation because 100 chirps per minute is outside the range of the values of r in the data set. Extrapolation involves extending the model predictions beyond the range of the data, which can introduce more uncertainty compared to interpolation.