Question: A student needs to type a 50-page report and turn it in within 14 days. They recorded their progress over 10 days using the scatterplot

A student needs to type a 50-page report and turn it in within 14 days. They recorded their progress over 10 days using the scatterplot below. They used a polynomial function p(d) to model the total number of pages, p, typed after d days. They calculated the coefficient of determination to be 0.33. Can they use this model to predict how many pages they will finish in 13 days?

Yes. The model has a moderate fit, and they can safely extrapolate to d=13.

No. The model has a weak fit, and no predictions can be made. The student should consider using an exponential model instead.

No. The model has a moderate fit, and d=13 would be considered an extreme extrapolation value. The student should consider using a linear model instead.

Yes. The model has a moderate fit, and they can use interpolation to predict what happens at d=13.

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