BarSize, Plot

c5dc28f5-877e-4361-a7d1-a88ad5ffe1e7 7 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 :

ε 1015 -^:

Adjust from observing residuals

XY 105 0.268 10 0.384 15 0.474 20 0.552 20 0.552 35 0.744 50 0.903 65 1.045 80 1.175 95 1.297 110 1.413 125 1.525 140 1.634 155 1.741 170 1.846 185 1.951 200 2.055 182 mat :

α 0.85 :

Model function x φ x α^x ln x sqrt 13 mat transpose :

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

x c 1 ε x ≤ (x 200 ≤ (& cases :

CWD C:\SmathFile CurrentDirectory :

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 4 round : ct ct 1 + : 21 line for u 31 line :

β 0.0168 0.1322 0.012 - 31 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 * :

x f 84 x 20 nthroot 17^* 661 x ln * + 60 x sqrt * - 5000 /

FIT range, populate U ε 2501 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 0.0006 0.9999 21 mat

data FIT 2 1 sys δ 0.125 BarSize