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 7430 15740 13560 19910 13050 x 2.60 3.73 | 3.36 4.05 2.43 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). (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). Bi = i (c) Calculate the fitted value of y corresponding to x = 2.43. 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
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 7430 15740 13560 19910 13050 x 2.60 3.73 | 3.36 4.05 2.43 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). (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). Bi = i (c) Calculate the fitted value of y corresponding to x = 2.43. 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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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