b) Show that by using least square estimation, a and ß can be determined respectively as: n (x₁ - x)(y₁ - y) B = Σ(x₁ - x)² i=1 a=y-Bx where Xi and y, are respectively the observed income and trips of household i, x and y are the average income and number of trips among all households, n is the total number of households surveyed. Please include and show all your working steps in detail. i=1

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
Question
b) Show that by using least square estimation, a and ß can be determined respectively as:
n
Σα -
(x; − x)(y; − y)
i=1
В
n
Σ(x₁ - x)²
i=1
a=y-Bx
where x, and y, are respectively the observed income and trips of household i, x and
y are the average income and number of trips among all households, n is the total
number of households surveyed.
Please include and show all your working steps in detail.
Transcribed Image Text:b) Show that by using least square estimation, a and ß can be determined respectively as: n Σα - (x; − x)(y; − y) i=1 В n Σ(x₁ - x)² i=1 a=y-Bx where x, and y, are respectively the observed income and trips of household i, x and y are the average income and number of trips among all households, n is the total number of households surveyed. Please include and show all your working steps in detail.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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