5
QuizMultiple Choice

Transforming to Achieve Linearity — Quiz

Question 5 • Statistical Reasoning

When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is ​​​​​​​ widehat Area is equal to 0 point 0 1 0 plus 3 point 1 4 1 times Time squared What is the predicted area, in cm squared , of the circle 8 seconds after the stone was dropped?

Answer
A
201 point 0 3 cm squared
B
50 point 2 7 cm squared
C
64 point 0 1 cm squared
D
25 point 1 4 cm squared

Explanation

Substitute 8 seconds for Time in the regression equation: predicted area = 0.010 + 3.141(8²). Since 8² = 64, the predicted area is 0.010 + 200. ...

AI-written and checked against the verified answer.

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