The peanut crop was harvested from five fields of various area. The following data are the mass of the crop from each field y (in kilograms) and the field area x (in hectares). y 7280 15730 13590 19820 12860 x 2.01 3.93 3.68 4.33 Round your intermediate answers to four decimal places (e.g. 98.7654). (a) Fit the simple linear regression model using the method of least squares. Find the estimate of o². Round your answer to the nearest integer (e.g. 9876). i 2.33 (b) What change in the mean mass is expected when the field area changes by 1 hectare? Round your answer to the nearest integer (e.g. 9876). B₁ = i (c) Calculate the fitted value of y corresponding to x = 2.01. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876). = i

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The peanut crop was harvested from five fields of various area. The following data are the mass of the crop from each field y (in
kilograms) and the field area x (in hectares).
X
6²
Round your intermediate answers to four decimal places (e.g. 98.7654).
(a) Fit the simple linear regression model using the method of least squares. Find the estimate of ².
Round your answer to the nearest integer (e.g. 9876).
i
B₁
=
(b) What change in the mean mass is expected when the field area changes by 1 hectare?
Round your answer to the nearest integer (e.g. 9876).
ŷ:
7280 15730 13590 19820 12860
=
2.01 3.93 3.68 4.33 2.33
(c) Calculate the fitted value of y corresponding to x = 2.01. Find the corresponding residual.
Round your answer to the nearest integer (e.g. 9876).
=
Transcribed Image Text:The peanut crop was harvested from five fields of various area. The following data are the mass of the crop from each field y (in kilograms) and the field area x (in hectares). X 6² Round your intermediate answers to four decimal places (e.g. 98.7654). (a) Fit the simple linear regression model using the method of least squares. Find the estimate of ². Round your answer to the nearest integer (e.g. 9876). i B₁ = (b) What change in the mean mass is expected when the field area changes by 1 hectare? Round your answer to the nearest integer (e.g. 9876). ŷ: 7280 15730 13590 19820 12860 = 2.01 3.93 3.68 4.33 2.33 (c) Calculate the fitted value of y corresponding to x = 2.01. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876). =
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