The method of least squares is used to draw the best straightline through the points in Figure 4-11. The output from theLINEST function in Excel is shown in the spreadsheet.Vericaldovietion4BDEFGAy2LINEST outputSlopee m333.0.615381.34615yumx+b440.054390.214145 6R0.984620.19612Indercept b6.The equation of the best straight line through the points inFigure 4-11 isHarris/Lucy, Quantitative Chemical Analysis, 10e, 2020 W.H Freemannd Comoanv Question Source Quantitative Chenical Analsis 10e publsher WA eemy 0.61s(40.054)x + 1.35(+0.21)Suppose that a single new measurement produces a y value ofFIGURE 4-11 Least-spares curve fiting, The Gaussian curve drawn over the3.67.point 3,3) indicales schematically how cach value of , is normally distributedabout the straight line. That is, the most probable value of y will fall on the line,but there is a finite probability of mcasuring y some distance from the lineFind the corresponding x valuc, its standard uncertainty, u, and the 95% confidence interval. Student's / values can be found inthis table.95% confidence interval: +publisher WM. Freemantinn me Ouantitative Chemical Aalysis 0e95% confidence interval: +Suppose you measure y four times and the average is 3.67. Calculate u, and the 95% confidence interval based on fourmeasurements, not one. Student's t values can be found in this table.95% confidence interval: +

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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 34EQ

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A company forecasted demand of one of the product was 200 units in January 2020 with an increase of 10 over July month for the subsequent months up to October 2020. The Actual sales renect a 5 % lower number than the forecasted demand for each month up to June 2020 and a tog higher number than the forecasted demand forduly , August September and October 2020 The selling price per unit of the product is fwed at RO 10. What is the forecast for May 2020 using the least squares method ?A. 5415 ( Rounded olt )B. 5333 ( Rounded on )None of the given option5850 ( Rounded oft )
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Find the corresponding x value, its standard uncertainty, w,, and the 95% confidence interval. Student's t values can be found in this table.