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The city of Oakville has 60000 households. A social researcher from the University of Toronto collected a simple random sample of 100 households. Let the auxiliary variable x be the number of persons living in the household and y be the weekly spending for food. The researcher obtained the following sample statistics: E00 x; = 320 E yi = 10000 2i-1 x = 1250 100 100 100 20° y? = 1100000 X;y; = 36000 Tx = 150000 Sx = 1.5 Sy = 31.8 (a) Using the ratio estimation, estimate the mean weekly spending for food and place a bound on the error of estimation. You need to report the numerical values. Show all the steps. Circle the final answer. (b) Using the regression estimation, estimate the total weekly spending for food and place a bound on the error of estimation. You need to report the numerical values. USE MSE = 5200. Show all the steps. Circle the final answer.

The city of Oakville has 60000 households. A social researcher from the University of Toronto collected a simple random sample of 100 households. Let the auxiliary variable x be the number of persons living in the household and y be the weekly spending for food. The researcher obtained the following sample statistics: E00 x; = 320 E yi = 10000 2i-1 x = 1250 100 100 100 20° y? = 1100000 X;y; = 36000 Tx = 150000 Sx = 1.5 Sy = 31.8 (a) Using the ratio estimation, estimate the mean weekly spending for food and place a bound on the error of estimation. You need to report the numerical values. Show all the steps. Circle the final answer. (b) Using the regression estimation, estimate the total weekly spending for food and place a bound on the error of estimation. You need to report the numerical values. USE MSE = 5200. Show all the steps. Circle the final answer.

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
Section10.4: Distributions Of Data
Problem 19PFA
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The city of Oakville has 60000 households. A social researcher from the University of Toronto collected a simple random sample of 100 households. Let the auxiliary variable x be the number of persons living in the household and y be the weekly spending for food. The researcher obtained the following sample statistics: 100 100 2 X; = 320 yi = 10000 E09 x? = 1250 100 E09 y? = 1100000 E00 x;y; = 36000 Ty = 150000 Sx = 1.5 Sy = 31.8 (a) Using the ratio estimation, estimate the mean weekly spending for food and place a bound on the error of estimation. You need to report the numerical values. Show all the steps. Circle the final answer. (b) Using the regression estimation, estimate the total weekly spending for food and place a bound on the error of estimation. You need to report the numerical values. USE MSE = 5200. Show all the steps. Circle the final answer.
Transcribed Image Text:The city of Oakville has 60000 households. A social researcher from the University of Toronto collected a simple random sample of 100 households. Let the auxiliary variable x be the number of persons living in the household and y be the weekly spending for food. The researcher obtained the following sample statistics: 100 100 2 X; = 320 yi = 10000 E09 x? = 1250 100 E09 y? = 1100000 E00 x;y; = 36000 Ty = 150000 Sx = 1.5 Sy = 31.8 (a) Using the ratio estimation, estimate the mean weekly spending for food and place a bound on the error of estimation. You need to report the numerical values. Show all the steps. Circle the final answer. (b) Using the regression estimation, estimate the total weekly spending for food and place a bound on the error of estimation. You need to report the numerical values. USE MSE = 5200. Show all the steps. Circle the final answer.
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