complete answer The peanut crop was harvested from five fields of various area. The following data are the mass of the crop from each field y (inkilograms) and the field areax (in hectares).y 7420 15740 13560 19820 13100* 2.093.90 3.62 4.51 3.03Round 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 = iRound 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).

Solution: To fit the regression equation y^=β0^+β1^×xWhere β1^=n∑xy-(∑x)(∑y)n∑x2-(∑x)2β0^= y-β1^×x…

The peanut crop was harvested from five fields of various area. The following data are the mass of the crop from each fieldy kilograms) and the field area.x (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). a? = i (b) What change in the mean mass is expected when the field area changes by 1 hectare? Round your answer to the nearest integer (eg 9876). (c) Calculate the fitted value of y corresponding tox = 2.09. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876).

The peanut crop was harvested from five fields of various area. The following data are the mass of the crop from each fieldy kilograms) and the field area.x (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). a? = i (b) What change in the mean mass is expected when the field area changes by 1 hectare? Round your answer to the nearest integer (eg 9876). (c) Calculate the fitted value of y corresponding tox = 2.09. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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complete answer

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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