eq-502 curve fitting - 2 constants data linear is at ion
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Curve fitting by Data Linearisation of a line defined by 2 constants
Select the sheet containing the order of polynomial to be fitted.
Introduction:Welcome to Computer Aided Analysis excel package.Using this application we cou
the following problem quickly.Curve fitting(2 constants)-This will solve the curve fitting problem of line definedconstants.For detailed information you can seek help which is available at every
Important Notes:1.Every input is to be given in pink cells
2.The results are to be shown in various colors to your clear visibility.So at any cost do nany values in cells other than pink cells
3.In every page there will be red color circle which guide you through step by step progcalculation
y=ax-1+b
y=a(x+b)-1
y=(ax+b)-1
y=x(a+bx)-1
y=a log x+b
y=b eax
y=bxa
y=(ax+b)-2
y=bx eax
y=c/(1+beax )-1
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y=ax^(-1)+b'!A1
y=a(x+b)^-1'!A1
y=(ax+b)^-1'!A1
y=x(a+bx)^-1'!A1
y=a logx+b'!A1
y=b.exp(ax)'!A1
y=b.x^a'!A1y=(ax+b)^(-2)'!A1
y=bx.exp(ax)'!A1
y=c.{1+b.exp(ax)}^(-1)'!A1
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Next
d solve
by twoheet.
t input
ess of
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Curve fitting of a line defined b
Input values: Data for fitting the curvea = 2 x y
b = 6 1 8
xmin = 1 2 7xmax = 5 3 6.67
4 6.5
dx= 1 5 6.4
SolutionX Y X^2 XY
1 8 1 8
0.5 7 0.25 3.5
0.33 6.67 0.11 2.22
0.25 6.5 0.06 1.63
0.2 6.4 0.04 1.28
2.28 34.57 1.46 16.63Normal Equation
1.46 2.28 A = 16.63
2.28 5 B 34.57
Solution
A = 2 a = 2
B 6 b 6
0.5 1 1.5 2
0
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y=a/x+b Back Menu Next
2.5 3 3.5 4 4.5 5 5.5
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Curve fitting of a line defined by
Input values: Data for fitting the curvea = 1 x y
b = 2 -5 -0.33
xmin = -5 -2.5 -2
xmax = 5 0 0.5
2.5 0.22
dx= 2.5 5 0.14
SolutionX Y X^2 XY
1.67 -0.33 2.78 -0.56
5 -2 25 -10
0 0.5 0 0
0.56 0.22 0.31 0.12
0.71 0.14 0.51 0.1
7.94 -1.47 28.6 -10.33
Normal Equation28.6 7.94 A = -10.33
7.94 5 B -1.47
SolutionA = -0.5 a = 1
B 0.5 b 2 -6 -4-2.5
-2
-1.5
-1
-0.5
0
0.5
1
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y=a/(x+b) Back Menu Next
-2 0 2 4 6
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Curve fitting of a straight line defi
Input values: Data for fitting the curvea = 1 x y
b = 3 0 0.33
xmin = 0 1.25 0.24xmax = 5 2.5 0.18
3.75 0.15
dx= 1.25 5 0.13
SolutionX Y X^2 XY
0 3 0 0
1.25 4.25 1.56 5.31
2.5 5.5 6.25 13.75
3.75 6.75 14.06 25.31
5 8 25 40
12.5 27.5 46.88 84.38Normal Equation
46.88 12.5 A = 84.38
12.5 5 B 27.5
SolutionA = 1 a = 1
B 3 b 3
0 1
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
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ed by y=1/(ax+b) Back Menu Next
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Curve fitting of a straight lin
Input values: Data for fitting the curvea = 1 x y
b = 1 0.1 0.09
xmin = 0.1 1.58 0.61xmax = 6 3.05 0.75
4.53 0.82
dx= 1.48 6 0.86
SolutionX Y X^2 XY
10 11 100 110
0.63 1.63 0.4 1.04
0.33 1.33 0.11 0.44
0.22 1.22 0.05 0.27
0.17 1.17 0.03 0.19
11.35 16.35 100.59 111.94Normal Equation
100.59 11.35 A = 111.94
11.35 5 B 16.35
SolutionA = 1 a = 1
B 1 b 1
0 1
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
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0.9
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defined by y=x/(a+bx) Back Menu Next
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Curve fitting of a straight line defi
Input values: Data for fitting the curvea = 1 x y
b = 2 0 -4.91
xmin = 0 1.25 2.22xmax = 5 2.5 2.92
3.75 3.32
dx= 1.25 5 3.61
SolutionX Y X^2 XY
-6.91 -4.91 47.72 33.9
0.22 2.22 0.05 0.5
0.92 2.92 0.84 2.67
1.32 3.32 1.75 4.39
1.61 3.61 2.59 5.81
-2.84 7.16 52.94 47.27Normal Equation
52.94 -2.84 A = 47.27
-2.84 5 B 7.16
SolutionA = 1 a = 1
B 2 b 2
0 1
-6
-4
-2
0
2
4
6
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ed by y=a logx+b Back Menu Next
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Curve fitting of a straight line defi
Input values: Data for fitting the curvea = 1.2 x y
b = 1.2 -5 0
xmin = -5 -2.5 0.06xmax = 5 0 1.2
2.5 24.1
dx= 2.5 5 484.11
SolutionX Y X^2 XY
-5 -5.82 25 29.09
-2.5 -2.82 6.25 7.04
0 0.18 0 0
2.5 3.18 6.25 7.96
5 6.18 25 30.91
0 0.91 62.5 75Normal Equation
62.5 0 A = 75
0 5 B 0.91
SolutionA = 1.2 a = 1.2
B 0.18 b 1.2
-6 -4
0
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500
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ed by y=b exp(ax) Back Menu Next
-2 0 2 4 6
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Input values: Data for fitting the curvea = 5 x y
b = 2 1 2
xmin = 1 2 64xmax = 5 3 486
4 2048
dx= 1 5 6250
SolutionX Y X^2 XY
0 0.69 0 0
0.69 4.16 0.48 2.88
1.1 6.19 1.21 6.8
1.39 7.62 1.92 10.57
1.61 8.74 2.59 14.07
4.79 27.4 6.2 34.32
Normal Equation6.2 4.79 A = 34.32
4.79 5 B 27.4
SolutionA = 5 a = 5
B 0.69 b 2
Curve fitting of a line defin
0.5 1 1
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d by y=b xa Back Menu Next
.5 2 2.5 3 3.5 4 4.5 5 5.5
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Input values: Data for fitting the curvea = 2 x y
b = 5 1 0.02
xmin = 1 2 0.01xmax = 5 3 0.01
4 0.01
dx= 1 5 0
SolutionX Y X^2 XY
1 7 1 7
2 9 4 18
3 11 9 33
4 13 16 52
5 15 25 75
15 55 55 185
Normal Equation55 15 A = 185
15 5 B 55
SolutionA = 2 a = 2
B 5 b 5
Curve fitting of a line defined b
0.5 1 1
0
0.01
0.01
0.02
0.02
0.03
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y y=1/(ax+b)2 Back Menu Next
.5 2 2.5 3 3.5 4 4.5 5 5.5
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Input values: Data for fitting the curvea = 0.5 x y
b = 0.55 1 0.91
xmin = 1 2 2.99xmax = 5 3 7.39
4 16.26
dx= 1 5 33.5
SolutionX Y X^2 XY
1 -0.1 1 -0.1
2 0.4 4 0.8
3 0.9 9 2.71
4 1.4 16 5.61
5 1.9 25 9.51
15 4.51 55 18.53
Normal Equation55 15 A = 18.53
15 5 B 4.51
SolutionA = 0.5 a = 0.5
B -0.6 b 0.55
Curve fitting of a line defined by y
0.5 1 1.5
0
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b.x.eax Back
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Input values:
a = 1 Data for fitting the curveb = 3 x y
c = 1 0 0.25
xmin = 0 1.25 0.09
xmax = 5 2.5 0.03
3.75 0.01
dx= 1.25 5 0
SolutionX Y X^2 XY
0 1.1 0 0
1.25 2.35 1.56 2.94
2.5 3.6 6.25 9
3.75 4.85 14.06 18.18
5 6.1 25 30.49
12.5 17.99 46.88 60.61
Normal Equation
46.88 12.5 A = 60.61
12.5 5 B 17.99
Solution
A = 1 a = 1
B 1.1 b 3
Curve fitting of a line defined by y=c/(1
0 1
0
0.05
0.1
0.15
0.2
0.25
0.3
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+beax) Back Menu
2 3 4 5 6
Curve fitting line:y=c/(1+beax)
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