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 log(Area) = 0.490 + 2.004 log(Time). What is the predicted area of the circle, in cm2, 4 seconds after the stone is dropped? 49.72 cm? 199.43 cm2 311.89 cm? 1854.10 cm?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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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 log(Area) = 0.490 + 2.004 log(Time). What is the predicted
area of the circle, in cm2, 4 seconds after the stone is dropped?
O 49.72 cm2
199.43 cm2
311.89 cm2
O 1854.10 cm?
Transcribed Image Text: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 log(Area) = 0.490 + 2.004 log(Time). What is the predicted area of the circle, in cm2, 4 seconds after the stone is dropped? O 49.72 cm2 199.43 cm2 311.89 cm2 O 1854.10 cm?
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