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The method of least squares is used to draw the best straight line through the points in Fugure 4-11. The output from the LINEST function

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The method of least squares is used to draw the best straight line through the points in Fugure 4-11. The output from the LINEST function in Excel is shown in the spreadsheet. The equation of the best straight line through the points in Figure 4-11 is y=0.615(0.054)x+1.35(0.21) Harris/Lucy, Quantitative ChemicalAnaiysis, 10e, 92020 W. H. Freeman and Compary Suppose that a single new mensurement produces a y value of 2.42. FIGURE 411 Least-squares curve fitting The Gaussian curve drwn over the point (3,3) indicales schernatically bow each value of yn is normally distrituiced ahout the straight line. That is, the most frobable value of y will fall on the line, but there is a finite probubility of measuring y soene distance frum the line. Find the corresponding x value, its standard uncertainty, ux, and the 95% confidence interval. Student's t values can be found in this table. x=1ux= 95% confidence interval: Suppose you measure y four times and the average is 2.42. Calculate ux and the 95% confidence interval based on four meaxurements, not one. Student's f values can be found in this table. ux= 95% confidence interval:

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