xercise 2.4. A private organization PQR was interested in estimating the average amount of eal estate farm loans (in $000) during 1997in the United States. The organization collected nformation from 15 states, the real estate (y) and non-real estate (x) farm loans, included in an RSWOR sample taken from a list of 50 states and observed the following results: n Σ xi =1 n = 18867.089, ΣΥ i=1 n n = 12525.246, 2x=48780336.98, y= = 18001501.38 and x,y, = 2659171056. i=1 i=1 i=1 The average amount of non-real estate farm loans is $878.16 (in $000) for the year 1997 is known. (a)Obtain a ratio 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 ratio estimator and hence deduce the 95% confidence interval. 2

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Q2.4 Please provide justified answer asap for all parts
HR
PHR(1)
Exercise 2.4. A private organization PQR was interested in estimating the average amount of
real estate farm loans (in $000) during 1997in the United States. The organization collected
information from 15 states, the real estate (y) and non-real estate (x) farm loans, included in an
SRSWOR sample taken from a list of 50 states and observed the following results:
n
n
n
n
n
Σ xi = 18867.089, £ y₁ = 12525.246, x² = 48780336.98, y = 18001501.38 and Exy, = 26591710.56.
i=1
i=1
i=1
i=1
i=1
The average amount of non-real estate farm loans is $878.16 (in $000) for the year 1997 is
known.
(a)Obtain a ratio 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 ratio estimator and hence deduce
the 95% confidence interval.
2
Transcribed Image Text:HR PHR(1) Exercise 2.4. A private organization PQR was interested in estimating the average amount of real estate farm loans (in $000) during 1997in the United States. The organization collected information from 15 states, the real estate (y) and non-real estate (x) farm loans, included in an SRSWOR sample taken from a list of 50 states and observed the following results: n n n n n Σ xi = 18867.089, £ y₁ = 12525.246, x² = 48780336.98, y = 18001501.38 and Exy, = 26591710.56. i=1 i=1 i=1 i=1 i=1 The average amount of non-real estate farm loans is $878.16 (in $000) for the year 1997 is known. (a)Obtain a ratio 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 ratio estimator and hence deduce the 95% confidence interval. 2
(b) Obtain a regression estimate for the average amount of the real estate farm loans (
during 1997. Develop an estimator of the mean squared error of the regression estim
hence deduce the 95% confidence interval.
(c) Comment on the interval estimates.
with their weekly incor
Transcribed Image Text:(b) Obtain a regression estimate for the average amount of the real estate farm loans ( during 1997. Develop an estimator of the mean squared error of the regression estim hence deduce the 95% confidence interval. (c) Comment on the interval estimates. with their weekly incor
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