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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 parcel count, measured in parcels, and the response variable is processing time, measured in min.

In the fitted data, parcel count ranged from 51 to 65 parcels, inclusive

\[\text{processing time} = 4 + 3\bigl(\text{parcel count}\bigr)\]
(a)1 mark

What processing time does the model predict when the parcel count is 59 parcels? Give a whole-number answer

Format: whole number
(b)1 mark

Does 59 parcels give an interpolation or an extrapolation?

(c)1 mark

What processing time does the model predict when the parcel count is 62 parcels? Give a whole-number answer

Format: whole number
(d)1 mark

Does 62 parcels give an interpolation or an extrapolation?