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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 rainfall, measured in mm, and the response variable is stream inflow, measured in ML

The observed rainfall interval used to fit the model was 19–33 mm, including both endpoints

\[\text{stream inflow} = 345 + 2\bigl(\text{rainfall}\bigr)\]
(a)1 mark

Substitute 23 mm for rainfall and calculate the predicted stream inflow. Give a whole-number answer

Format: whole number
(b)1 mark

Compare 23 mm with the observed range and name the prediction type

(c)1 mark

Substitute 31 mm for rainfall and calculate the predicted stream inflow. Give a whole-number answer

Format: whole number
(d)1 mark

Compare 31 mm with the observed range and name the prediction type