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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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.
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