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Predict from a fitted model: interpolation and extrapolation

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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The explanatory variable is time since watering, measured in min, and the response variable is soil moisture reading, measured in sensor units

The observed time since watering interval used to fit the model was 13–25 min, including both endpoints

\[\text{soil moisture reading} = 153 - 3\bigl(\text{time since watering}\bigr)\]
(a)1 mark

Substitute 24 min for time since watering and calculate the predicted soil moisture reading. Give a whole-number answer

Format: whole number
(b)1 mark

Compare 24 min with the observed range and name the prediction type

(c)1 mark

Substitute 21 min for time since watering and calculate the predicted soil moisture reading. Give a whole-number answer

Format: whole number
(d)1 mark

Compare 21 min with the observed range and name the prediction type