File:MDKQ3.svg
Original file (SVG file, nominally 378 × 288 pixels, file size: 39 KB)
Captions
Summary
[edit]DescriptionMDKQ3.svg |
Deutsch: Fit einer parabolischen Funktion |
Date | |
Source | Own work, Neufassung und Zusammenfassung von File:Scatterplot1.png und File:AlterGewicht.png vom Benutzer Philipendula |
Author | Christian Schirm |
SVG development InfoField | This plot was created with Matplotlib. |
Source code InfoField | Python code# This source code is public domain
import numpy
import matplotlib.pyplot as plt
#Alter von(yr); bis(yr); Groesse(m); Gewicht(kg)
stat="""0; 1; 0.67; 7.7
1; 2; 0.83; 11.9
2; 3; 0.93; 14.4
3; 4; 1.01; 16.6
4; 5; 1.08; 18.7
5; 6; 1.15; 21.0
6; 7; 1.22; 23.9
7; 8; 1.27; 27.0
8; 9; 1.33; 30.4
9; 10; 1.39; 34.1
10; 11; 1.44; 37.8
11; 12; 1.50; 42.6
12; 13; 1.56; 47.5
13; 14; 1.63; 53.5
14; 15; 1.70; 59.9
15; 16; 1.75; 65.8
16; 17; 1.78; 69.8
17; 18; 1.80; 72.9
18; 20; 1.81; 75.5
20; 25; 1.81; 78.0
25; 30; 1.80; 80.7
30; 35; 1.80; 83.4
35; 40; 1.80; 84.8
40; 45; 1.80; 85.1
45; 50; 1.79; 85.7
50; 55; 1.78; 85.8
55; 60; 1.77; 85.9
60; 65; 1.76; 85.2
65; 70; 1.76; 84.4
70; 75; 1.74; 83.3
75; 80; 1.73; 79.0""".split('\n') #Daten von 2009
gewicht = [list(map(float,i.split(';'))) for i in stat]
x = [(i[1]+i[0])*0.5 for i in gewicht[18:-1]]
y = [i[3] for i in gewicht[18:-1]]
N = 3
A = numpy.zeros((N,N))
for i in range(N):
for j in range(N):
A[i,j] = sum(xi**(i+j) for xi in x)
b = numpy.zeros((N))
for i in range(N):
b[i] = sum(xi**(i)*yi for xi,yi in zip(x,y))
c = numpy.linalg.solve(A, b)
xneu = numpy.sort(numpy.linspace(17, 74.5, num=50).tolist() + x)
yneu = numpy.sum([c[i]*xneu**i for i in range(len(c))],axis=0)
fig = plt.figure(figsize=(4.2, 3.2))
y1, = plt.plot(x,y,'o',label='Messpunkte')
y2, = plt.plot(xneu,yneu,'r-',label='Modellfunktion')
plt.xlabel('x (Alter in Jahren)')
plt.ylabel('y (Gewicht in kg)')
order = y1,y2
plt.legend(order,[p.get_label() for p in order],frameon=True, loc='lower right')
plt.grid(True, alpha=0.7)
plt.tight_layout()
plt.savefig('MDKQ3.svg')
|
Licensing
[edit]This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:06, 23 May 2021 | 378 × 288 (39 KB) | Physikinger (talk | contribs) | New Matplotlib version | |
18:58, 2 February 2011 | 405 × 315 (50 KB) | PhysikingerC (talk | contribs) | Text Problem | ||
18:40, 2 February 2011 | 405 × 315 (48 KB) | PhysikingerC (talk | contribs) | Text als Text, nicht als Kurven | ||
22:30, 1 February 2011 | 361 × 264 (49 KB) | PhysikingerC (talk | contribs) | {{Information |Description ={{de|1=Fit einer parabolischen Funktion}} |Source ={{own}} |Author =Christian Schirm |Date =2011-02-01 |Permission = |other_versions = }} |
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Width | 302.4pt |
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Height | 230.4pt |