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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman