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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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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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