The peanut crop was harvested from five fields of various area. The following data are the mass of the crop fro kilograms) and the field areax (in hectares). y 7420 15740 13560 19820 13100 x 2.09 3.90 3.62 4.51 3.03 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 o. Round your answer to the nearest integer (e.g. 9876). (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). (c) Calculate the fitted value of y corresponding to x = 2.09. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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 areax (in hectares).
y 7420 15740 13560 19820 13100
* 2.09
3.90 3.62 4.51 3.03
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 o?.
Round your answer to the nearest integer (e.g. 9876).
a? =
(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).
(c) Calculate the fitted value of y corresponding to x = 2.09. Find the corresponding residual.
Round your answer to the nearest integer (e.g. 9876).
ŷ = i
Round your answer to the nearest integer (e.g. 9876).
e = i
(d) Estimate the mean mass of the crop harvested from 3.5 hectares.
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 areax (in hectares). y 7420 15740 13560 19820 13100 * 2.09 3.90 3.62 4.51 3.03 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 o?. Round your answer to the nearest integer (e.g. 9876). a? = (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). (c) Calculate the fitted value of y corresponding to x = 2.09. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876). ŷ = i Round your answer to the nearest integer (e.g. 9876). e = i (d) Estimate the mean mass of the crop harvested from 3.5 hectares. Round your answer to the nearest integer (e.g. 9876).
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