<content> Plot </content>

fbbc3c97-2ee7-40d2-b1d6-6556c2a6ef77 4 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

<content> Square Minimun Function </content>

T X Y Order f T 1 ≡ m Order 1 + : m 2 : if n X rows : 12 mat i 1 m range j 1 m range con i 1 - (j 1 - (+ : i 1 ≡ (j 1 ≡ (& A i j el n : 11 line T 1 ≡ (T 2 ≡ (| A i j el X k el (con^k 1 n sum : A i j el X k el ln (con^k 1 n sum : if if 21 line for for i 1 m range i 1 m range i 1 ≡ (T 1 ≡ (& B i el Y k el k 1 n sum : i 1 ≠ (T 1 ≡ (& B i el X k el (i 1 -^Y k el * k 1 n sum : i 1 ≡ (T 2 ≡ (& B i el Y k el ln k 1 n sum : i 1 ≠ (T 2 ≡ (& B i el X k el (Y k el ln * k 1 n sum : i 1 ≡ (T 3 ≡ (& B i el Y k el ln k 1 n sum : i 1 ≠ (T 3 ≡ (& B i el X k el ln Y k el ln * k 1 n sum : B i el error : if if if if if if 11 line for for i 1 m range i 1 ≡ (T 1 ≡ (& φ i el 1 : i 1 ≠ (T 1 ≡ (& φ i el x (i 1 - eval^: φ 1 el x : if if for β A 1 -^B * : ff 0 : i 1 m range i 1 ≡ (T 1 ≡ (& ff ff eval β i el eval φ i el * + : i 1 ≠ (T 1 ≡ (& ff ff β i el eval φ i el * + : T 2 ≡ ff β 1 el eval exp β 2 el eval φ 1 el * exp * : T 3 ≡ ff β 1 el eval exp φ 1 el (β 2 el eval^* : ff error : if if if if 11 line for ff ff : ff 91 line :

Last Square Function

f( x )=f ( T , X , Y , Order)

| | | |__ Power

| | |__________ Y Data

| |_______________ X Data

|___________________ Type of

Adjustment

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T=1 Polynomic adjusment for Square Minimums method

T=3 Potential adjusment for Square Minimums method

Order= Power to which the function is rising.

Order=1 if T=2 or T=3

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DATA 304 0.1653 - 5 0.1313 6 0.219 7 0.8097 8 1.2045 9 1.302 10 2.1009 11 2.6004 12 3.7002 13 4.3001 112 mat :

X DATA 1 col :

Y DATA 2 col :

XY X Y augment :

data XY o 5 black plot :

T 1 :

Order 2 :

Quadratic

T 1 :

Order 2 :

x fX2 T X Y Order f :

x fX2 0.328759020979021 0.266748228438228 - (x 1^* + 0.044300116550117 x 2^* +

data x fX2 2 1 sys

Cubic

T 1 :

Order 3 :

x fX3 T X Y Order f :

x fX3 0.234427738927739 0.222287975912235 - (x 1^* + 0.038174708624709 x 2^* + 0.000255225330225 x 3^* +

data x fX3 2 1 sys

Polinomic

T 1 :

Order 4 :

x fX4 T X Y Order f :

x fX4 1.39788438265624 0.968929933765547 - (x 1^* + 0.20082304776753 x 2^* + 0.014242676764118 - (x 3^* + 0.000453059440406 x 4^* +

data x fX4 2 1 sys

Polinomic

T 1 :

Order 5 :

x fX5 T X Y Order f :

x fX5 10.8580125296912 8.6033091673095 - (x 1^* + 2.48213713734812 x 2^* + 0.3325452925031 - (x 3^* + 0.021382546497355 x 4^* + 0.000523237176992 - (x 5^* +

data x fX5 2 1 sys

DATA 1.2379 1 0.7598 1.5 0.7612 2 0.4342 3.2 0.2123 552 mat :

X DATA 1 col :

Y DATA 2 col :

XY X Y augment :

data XY o 5 black plot :

Exponential

T 2 :

Order 1 :

x fX6 T X Y Order f :

x fX6 1.85131150764826 exp 1.58141672852923 - (x * exp *

data x fX6 2 1 sys

Potencial

T 3 :

Order 1 :

x fX2 T X Y Order f :

x fX2 0.276993501869455 exp x 0.914679318219597 -^*

data x fX2 2 1 sys

DATA2 1 4.7511 1.5 18.4011 2 5.4736 3.2 64.929 5 238.4294 52 mat :

X DATA2 1 col :

Y DATA2 2 col :

XY X Y augment :

data2 XY o 5 black plot :

T 3 :

Order 1 :

x fX2 T X Y Order f :

Potential

x fX2 1.3256124364433 exp x 2.3739476606061^*

data2 x fX2 2 1 sys

4046903360122160825599662568649 / exp 134.5283

114311817588140231202999825923 / - 0.4944 -

4046903360122160825599662568649 / (4.902^2421.6535