Given the least-squares regression line, the natural log of widehat Element is equal to 2 point 3 0 5 minus 0 point 1 0 1 times Time , what is the predicted amount of an unstable element, in grams, that is left after 8 years?

Substitute 8 for Time: ln(predicted amount) = 2.305 − 0.101(8) = 1.497. Since the regression predicts the natural log of the amount, exponentiate: predicted amount = e^1.497 ≈ 4.468 grams. The answer is 4.468 grams.

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