2
QuizMultiple Choice

Transforming to Achieve Linearity — Quiz

Question 2 • Statistical Reasoning

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 that is left after 6 years?

Answer
A
5 point 4 6 8 grams
B
1 point 6 9 9 grams
C
8 point 3 6 5 grams
D
0 point 5 3 gram

Explanation

Substitute 6 for Time: the predicted natural log of the amount is 2.305 − 0.101(6) = 1.699. Since the model gives the natural log of the amount, undo the logarithm by calculating e^1.699 ≈ 5.468 grams. The predicted amount is 5.468 grams, choice A.

AI-written and checked against the verified answer.

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