TOPIC: Linear Regressionplease answer, will upvote your solutions. Regression13.34413.344161.690.000Residual9.0.7430.083ErrorTotal1014.087(a) Assuming that a simple linear regression model is appropriate, estimate the regression model relating BOD (y) to the time (x).Round your final answers to 4 decimal places.ŷ = i+ iWhat is the estimate of a??Round your final answer to 3 decimal places.(b) What is the estimate of expected BOD level when the time is 11 days?Round your final answer to 3 decimal places.(c) What change in mean BOD is expected when the time increases by 5 days?Round your final answer to 4 decimal places.i(d) Suppose the time used is 10 days. Calculate the fitted value of y and the corresponding residual.Round your final answers to 4 decimal places.e =i An article in the Journal of the Environmental Engineering Division ("Least Squares Estimates of BOD Parameters," Vol. 106, 1980, pp.1197-1202) describes the results of testing a sample from the Holston River below Kingport, TN, during August 1977. Thebiochemical oxygen demand (BOD) test is conducted over a period of time in days. The resulting data is shown below:Time (days) BOD (mg/liter)10.60.71.51.92.1102.6122.9143.7163.5183.7203.8Minitab output resulting from fitting a simple linear regression model with time as the explanatory variable and BOD as the responsefollows.PredictorCoefSE CoefConstant0.65780.16573.970.003Time0.178060.0140012.720.000S = 0.287281 R-Sq = 94.7% R-Sq(adj) = 94.1%%3DAnalysis of VarianceSourceDFSSMSFP.Regression1.13.34413.344161.690.0006.

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Answered: (a) Assuming that a simple linear…

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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(a) Assuming that a simple linear regression model is appropriate, estimate the regression model relating BOD (y) to the time (x). Round your final answers to 4 decimal places. ŷ = i + i What is the estimate of a??