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

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 32EQ
icon
Related questions
Topic Video
Question

Answer all questions with all work

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.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning