77 $2 79 20 15. Calculating standard error of regression $2 First calculate (y) the value of (y) estimated from the regression for each concentration of the standards (x;) 4 using the regression equation we have now established: $5 * Vi = $7 89 90 Ут 91 Y2 92 Y3 93 YA 94 Ys 95 Y6 96 97 98 99 100 101 6. Uncertainly in the estimate of concentration 102 102 ICIL Immoll individual result(Requ STEP 1 yi (y = a + bx) 0.000 + STEP 6 Now determine S y/x STEP 2 (Yi - ŷi) STEP 4 (SUM) STEP 5 (df) (GIVEN) STEP 3 (Yi - yi)² 0.000 x Sy/x= 4 5 16 17 18 Хь X 19 3. Coefficients for the Standard Curve 0.871 57 Yb 4.446 3 y 20 21 22 STEP 1 (x₁-x) 370.5 (y1 - y) 5.240 23 (x2-x) 142.5 (y2 - y) 2.004 24 (x3 - x) 28.5 (Y3-ŷ) 0.390 25 (x-x) -85.5 (Y4- y) -1.231 75 26 (x5 - x) -199.5 (ys - y) -2.829 27 (x-x) -256.5 (y- y) -3.575 28
77 $2 79 20 15. Calculating standard error of regression $2 First calculate (y) the value of (y) estimated from the regression for each concentration of the standards (x;) 4 using the regression equation we have now established: $5 * Vi = $7 89 90 Ут 91 Y2 92 Y3 93 YA 94 Ys 95 Y6 96 97 98 99 100 101 6. Uncertainly in the estimate of concentration 102 102 ICIL Immoll individual result(Requ STEP 1 yi (y = a + bx) 0.000 + STEP 6 Now determine S y/x STEP 2 (Yi - ŷi) STEP 4 (SUM) STEP 5 (df) (GIVEN) STEP 3 (Yi - yi)² 0.000 x Sy/x= 4 5 16 17 18 Хь X 19 3. Coefficients for the Standard Curve 0.871 57 Yb 4.446 3 y 20 21 22 STEP 1 (x₁-x) 370.5 (y1 - y) 5.240 23 (x2-x) 142.5 (y2 - y) 2.004 24 (x3 - x) 28.5 (Y3-ŷ) 0.390 25 (x-x) -85.5 (Y4- y) -1.231 75 26 (x5 - x) -199.5 (ys - y) -2.829 27 (x-x) -256.5 (y- y) -3.575 28
Chapter7: Statistical Data Treatment And Evaluation
Section: Chapter Questions
Problem 7.12QAP
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QUESTION: Fill in the answers in the empty green boxes regarding 'Question 5: Calculating standard error of regression'
*The images of the data showing 'coefficients for the standard curve' have been provided
Transcribed Image Text:77
$2
79
20
15. Calculating standard error of regression
$2
First calculate (y) the value of (y) estimated from the regression for each concentration of the standards (x;)
4 using the regression equation we have now established:
$5
* Vi
=
$7
89
90
Ут
91
Y2
92
Y3
93
YA
94
Ys
95
Y6
96
97
98
99
100
101 6. Uncertainly in the estimate of concentration
102
102 ICIL Immoll individual result(Requ
STEP 1
yi (y = a + bx)
0.000 +
STEP 6
Now determine S
y/x
STEP 2
(Yi - ŷi)
STEP 4 (SUM)
STEP 5 (df) (GIVEN)
STEP 3
(Yi - yi)²
0.000 x
Sy/x=
Transcribed Image Text:4
5
16
17
18
Хь
X
19 3. Coefficients for the Standard Curve
0.871
57
Yb
4.446
3
y
20
21
22
STEP 1
(x₁-x)
370.5
(y1 - y)
5.240
23
(x2-x)
142.5
(y2 - y)
2.004
24
(x3 - x)
28.5
(Y3-ŷ)
0.390
25
(x-x)
-85.5
(Y4- y)
-1.231
75
26
(x5 - x)
-199.5
(ys - y)
-2.829
27
(x-x)
-256.5
(y- y)
-3.575
28
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