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Hick's law states that the time I for a person to choose between n choices is given by the equation: data for a particular person: T = blog(n+1) where b is a constant estimated from data. The table shows

Hick's law states that the time I for a person to choose between n choices is given by the equation: data for a particular person: T = blog(n+1) where b is a constant estimated from data. The table shows

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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Hick's law states that the time T for a person to choose between n choices is given by the equation: T= blog(n+1) where b is a constant estimated from data. The table shows data for a particular person: n (choices) T (seconds) 2 4 8 16 32 64 2.51 3.9 5.57 7.49 8.44 10.83 Using nonlinear regression, it was found that bx5.830 b) Find the residuals for each point. n (choices) 4 8 16 32 64 T (seconds) 2.51 3.9 5.57 7.49 8.44 10.83 residuals c) Calculate the SS,e, for the model. d) Comment on how well the model fits the data.
Transcribed Image Text:Hick's law states that the time T for a person to choose between n choices is given by the equation: T= blog(n+1) where b is a constant estimated from data. The table shows data for a particular person: n (choices) T (seconds) 2 4 8 16 32 64 2.51 3.9 5.57 7.49 8.44 10.83 Using nonlinear regression, it was found that bx5.830 b) Find the residuals for each point. n (choices) 4 8 16 32 64 T (seconds) 2.51 3.9 5.57 7.49 8.44 10.83 residuals c) Calculate the SS,e, for the model. d) Comment on how well the model fits the data.
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