A researcher has estimated a linear model to study the effect of weekly household income x, (in $100) on weekly household expenditure on food y, (in $). Using a i i sample of size N = 40, she found that = 83.42 + 10.21x,, R²=0.384 i (43.41) (2.09) and N Σ(y₁ - y)² = 500,000 and the sample mean of x, is 19.605. Then, i=1 i N * Σ 6-5) 2= 58,000 i=1 Oc. O d. N i=1 N i=1 (-y)² = 96,000 i (-y)²=192,000 N i=1 i (-y)²=384,000 i

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

Unsure about the answer , and could you please explain me the procedure? I am a little bit confused.

A researcher has estimated a linear model to study the effect of weekly household
income x (in $100) on weekly household expenditure on food y, (in $). Using a
i
i
sample of size N = 40, she found that
y = 83.42 + 10.21x₁, R²=0.384
(43.41) (2.09)
N
and Σ(y₁ - y)² = 500,000 and the sample mean of x, is 19.605. Then,
i=1
i
O a. ₁ (-y)² = 58,000
i=1
i
N
Ο Φ. Σ. 6-5) 2=96,000
i=1 i
C.
Σ(-y)² = 192,000
i=1
O d. (-y)² = 384,000
i=1
Transcribed Image Text:A researcher has estimated a linear model to study the effect of weekly household income x (in $100) on weekly household expenditure on food y, (in $). Using a i i sample of size N = 40, she found that y = 83.42 + 10.21x₁, R²=0.384 (43.41) (2.09) N and Σ(y₁ - y)² = 500,000 and the sample mean of x, is 19.605. Then, i=1 i O a. ₁ (-y)² = 58,000 i=1 i N Ο Φ. Σ. 6-5) 2=96,000 i=1 i C. Σ(-y)² = 192,000 i=1 O d. (-y)² = 384,000 i=1
Expert Solution
steps

Step by step

Solved in 3 steps with 10 images

Blurred answer
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