BarSize, Plot

6e27083f-1d22-4b56-9d2b-567e2aaad6b7 10 6 12 decimal

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

BarSize, Plot

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

SSD ... Pearson Correlation

corr Pearson correlation χ X Mean : μ Y Mean : n XY rows : 13 mat X i el χ - (Y i el μ - (* (i 1 n sum X i el χ - (2^(i 1 n sum Y i el μ - (2^(i 1 n sum * sqrt / X i el χ - (X i el f eval μ - (* (i 1 n sum X i el χ - (2^(i 1 n sum X i el f eval μ - (2^(i 1 n sum * sqrt / / 31 line :

SSD = "Sum Square Differences" SSD Y i el X i el f - (2^(i 1 XY rows sum :

CWD C:\SmathFile CurrentDirectory :

Adjust from observing residuals

XY 1015 -^1015 -^122 7.29 3 13.72 4 21.92 5 32.57 6 35.48 7 50.11 8 57.67 9 82.47 10701110512 111.4 13 124.7 14137152 mat :

Model function x φ 1 x 1.44^x ln x sqrt 14 mat transpose :

X XY 1 col : Y XY 2 col : 12 mat data XY . 12 black plot : n XY rows : 31 line

x c 10 x ≤ (x 2 ≤ (& cases :

Cholesky companion solver j 1 x φ length range i 1 X length range M i j el X i el φ j el : for for Φ M transpose M * : d M transpose Y * : b Φ 1 -^eval d * : 41 line

b b :

β ct 1 : j 1 b rows range u ct el b j el 3 round : ct ct 1 + : 21 line for u 31 line :

β 0.33 3.198 0.01 1.27 - 41 mat

β CWD βLinear wfile 1

β CWD βLinear rfile :

recast the fitting session for an easy export on scientific calculator x f β x φ * :

FIT range, populate U 1015 -^15 0.05 range : i 1 U rows range vy i el U i el f eval : for U vy augment 41 line :

Absolute residuals δ i 1 XY rows range Δ i el Y i el X i el f - eval : for X Δ augment 21 line :

data FIT 2 1 sys δ 0.125 BarSize

SSD corr 21 mat 409.42 0.99 21 mat

x f 355533 x 25 nthroot 36^* + (* 5 x ln * + 635 x sqrt * - 500 /

XY 1 4.18 2 4.67 3 5.3 4 5.37 5 5.45 6 5.74 7 5.65 8 5.84 9 6.36 10 6.38 11 6.31 12 6.46 13 6.48 14 6.59 15 6.74 16 6.58 17 6.85 18 6.53 19 6.68 20 7.01 21 6.82 22 6.65 23 6.95 24 7.12 25 7.14 26 6.91 27 6.94 28 7.23 29 6.9 30 7.39 31 6.94 312 mat :

Adjust as needed from observing residuals

Model function x φ 1 x 1^x ln x sqrt 14 mat transpose :

X XY 1 col : Y XY 2 col : 12 mat data XY . 12 black plot : n XY rows : 31 line

x c 10 x ≤ (x 2 ≤ (& cases :

Cholesky companion solver j 1 x φ length range i 1 X length range M i j el X i el φ j el : for for Φ M transpose M * : d M transpose Y * : b Φ 1 -^eval d * : 41 line

b b :

β ct 1 : j 1 b rows range u ct el b j el 3 round : ct ct 1 + : 21 line for u 31 line :

β CWD βLinear wfile 1

β CWD βLinear rfile :

recast the fitting session for an easy export on scientific calculator x f β x φ * :

FIT range, populate U 0.0125 40 0.05 range : i 1 U rows range vy i el U i el f eval : for U vy augment 41 line :

Absolute residuals δ i 1 XY rows range Δ i el Y i el X i el f - eval : for X Δ augment 21 line :

SSD corr 21 mat 0.685 0.979 21 mat

data FIT 2 1 sys δ 0.125 BarSize

x f 2174235 x * - (* 439 x ln * + 772 x sqrt * + 1000 /