What is the equation of the least-squares regressionAn analysis of the decay of 10 grams of an unstableelement over time was completed and is displayed in theline?computer output.Element = 2.305 - 0.101 In(Time)%3DRegression Analysis: In (Element) versus TimePredictorCoefSE CoefIn(Element) = 2.305 0.101(Time)Constant2.3050.021109.760.000Time-0.101 0.0007-132.990.000In(Element) =- 0.101 + 2.305(Time)S=0.0079R-Sq 0.99R-Sq (adj)=0.999O In(Time) = -0.101 + 2.305(Element)

Given Information: Consider the given regression analysis output:

An analysis of the decay of 10 grams of an unstable element over time was completed and is displayed in the What is the equation of the least-squares regression line? computer output. Element = 2.305 - 0.101 In(Time) Regression Analysis: 1n (Element) versus Time Predictor Coef SE Coef In(Element) = 2.305 0.101(Time) Constant 2.305 0.021 109.76 0.000 Time -0.101 0.0007 -132.99 0.000 R-Sq (adj)-0.999 In(Element) = -0.101 + 2.305(Time) s=0.0079 R-Sq 0.99 In(Time) = -0.101 + 2.305(Element)

An analysis of the decay of 10 grams of an unstable element over time was completed and is displayed in the What is the equation of the least-squares regression line? computer output. Element = 2.305 - 0.101 In(Time) Regression Analysis: 1n (Element) versus Time Predictor Coef SE Coef In(Element) = 2.305 0.101(Time) Constant 2.305 0.021 109.76 0.000 Time -0.101 0.0007 -132.99 0.000 R-Sq (adj)-0.999 In(Element) = -0.101 + 2.305(Time) s=0.0079 R-Sq 0.99 In(Time) = -0.101 + 2.305(Element)

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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