Homework Help is Here – Start Your Trial Now!
Math
Statistics
Exercise 2.5. From a population consisting of 100 indivi and age (x), we have the following information: N N N N Σ x = 35,00, Σ y = 50,000, Σ x = 85,0000, Σ y 泾 i=1 i=1 i=1 i=1 11

Exercise 2.5. From a population consisting of 100 indivi and age (x), we have the following information: N N N N Σ x = 35,00, Σ y = 50,000, Σ x = 85,0000, Σ y 泾 i=1 i=1 i=1 i=1 11

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Q2.5 Please provide justified answer asap for all parts
(b) Obtain a regression estimate for the average amount of the real estate farm loans (in $000) during 1997. Develop an estimator of the mean squared error of the regression estimator and hence deduce the 95% confidence interval. (c) Comment on the interval estimates. Exercise 2.5. From a population consisting of 100 individuals with their weekly income (y) and age (x), we have the following information: N N N 2 N N Σ x₁ = 35,00, £ y₁ = 50,000, £ x² = 85,0000, y = 90,000000 and xy = 3000000. i=1 i=1 i=1 i=1 i=1 If we consider an SRSWOR sample of n = 20 units, find the following: (a) Compute the variance of the sample mean estimator. (b) Compute the mean square error of the ratio estimator. (c) Find the relative efficiency of the ratio estimator with respect to usual estimator. (d) Find the mean square error of the regression estimator. (e) Find the relative efficiency of the regression estimator with respect to both ratio and sample mean estimator.
Transcribed Image Text:(b) Obtain a regression estimate for the average amount of the real estate farm loans (in $000) during 1997. Develop an estimator of the mean squared error of the regression estimator and hence deduce the 95% confidence interval. (c) Comment on the interval estimates. Exercise 2.5. From a population consisting of 100 individuals with their weekly income (y) and age (x), we have the following information: N N N 2 N N Σ x₁ = 35,00, £ y₁ = 50,000, £ x² = 85,0000, y = 90,000000 and xy = 3000000. i=1 i=1 i=1 i=1 i=1 If we consider an SRSWOR sample of n = 20 units, find the following: (a) Compute the variance of the sample mean estimator. (b) Compute the mean square error of the ratio estimator. (c) Find the relative efficiency of the ratio estimator with respect to usual estimator. (d) Find the mean square error of the regression estimator. (e) Find the relative efficiency of the regression estimator with respect to both ratio and sample mean estimator.
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS