Find the corresponding x value, its standard uncertainty, w,, and the 95% confidence interval. Student's t values can be found in this table.

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The method of least squares is used to draw the best straight
line through the points in Figure 4-11. The output from the
LINEST function in Excel is shown in the spreadsheet.
Verical
dovietion
4
B
D
E
F
G
Ay
2
LINEST output
Slope
e m
3
3
3.
0.61538
1.34615
yumx+b
4
4
0.05439
0.21414
5 6
R
0.98462
0.19612
Indercept b
6.
The equation of the best straight line through the points in
Figure 4-11 is
Harris/Lucy, Quantitative Chemical Analysis, 10e, 2020 W.H Freeman
nd Comoanv Question Source Quantitative Chenical Analsis 10e publsher WA eem
y 0.61s(40.054)x + 1.35(+0.21)
Suppose that a single new measurement produces a y value of
FIGURE 4-11 Least-spares curve fiting, The Gaussian curve drawn over the
3.67.
point 3,3) indicales schematically how cach value of , is normally distributed
about 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 line
Find the corresponding x valuc, its standard uncertainty, u, and the 95% confidence interval. Student's / values can be found in
this table.
95% confidence interval: +
publisher WM. Freeman
tinn me Ouantitative Chemical Aalysis 0e
95% confidence interval: +
Suppose you measure y four times and the average is 3.67. Calculate u, and the 95% confidence interval based on four
measurements, not one. Student's t values can be found in this table.
95% confidence interval: +
Transcribed Image Text:The method of least squares is used to draw the best straight line through the points in Figure 4-11. The output from the LINEST function in Excel is shown in the spreadsheet. Verical dovietion 4 B D E F G Ay 2 LINEST output Slope e m 3 3 3. 0.61538 1.34615 yumx+b 4 4 0.05439 0.21414 5 6 R 0.98462 0.19612 Indercept b 6. The equation of the best straight line through the points in Figure 4-11 is Harris/Lucy, Quantitative Chemical Analysis, 10e, 2020 W.H Freeman nd Comoanv Question Source Quantitative Chenical Analsis 10e publsher WA eem y 0.61s(40.054)x + 1.35(+0.21) Suppose that a single new measurement produces a y value of FIGURE 4-11 Least-spares curve fiting, The Gaussian curve drawn over the 3.67. point 3,3) indicales schematically how cach value of , is normally distributed about 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 line Find the corresponding x valuc, its standard uncertainty, u, and the 95% confidence interval. Student's / values can be found in this table. 95% confidence interval: + publisher WM. Freeman tinn me Ouantitative Chemical Aalysis 0e 95% confidence interval: + Suppose you measure y four times and the average is 3.67. Calculate u, and the 95% confidence interval based on four measurements, not one. Student's t values can be found in this table. 95% confidence interval: +
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