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.

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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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