The regression equation for water being poured into a large, cone-shaped cistern is the natural log of widehat Volume is equal to negative 1 point 3 2 7 plus 2 point 9 9 3 ln Time What is the predicted volume for a time of 12 seconds?

Substitute 12 for Time: ln(predicted Volume) = −1.327 + 2.993 ln(12) ≈ 6.110. Since this is the natural log of the volume, exponentiate to get predicted Volume = e^6.110 ≈ 450.485 cm³. The predicted volume is 450.485 cm³, choice D.

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