Created
February 24, 2022 05:05
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Quick script for calculating linear fit with uncertainty from x, y values
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import sys | |
import numpy as np | |
class LinFit: | |
def __init__(self, x, y): | |
d = x.size * np.sum(x ** 2) - np.sum(x) ** 2 | |
self.intercept = (np.sum(x ** 2) * np.sum(y) - np.sum(x) * np.sum(x * y)) / d | |
self.slope = (x.size * np.sum(x * y) - np.sum(x) * np.sum(y)) / d | |
self.s_y = np.sqrt(np.sum((y - self.intercept - self.slope * x) ** 2) / (x.size - 2)) | |
self.s_intercept = self.s_y * np.sqrt(np.sum(x ** 2) / d) | |
self.s_slope = self.s_y * np.sqrt(x.size / d) | |
if __name__ == "__main__": | |
if len(sys.argv) > 1: | |
data = np.loadtxt('linreg.py', delimiter=',') | |
else: | |
data = np.loadtxt(__file__, delimiter=',', skiprows=30, comments='"') | |
fit = LinFit(data[:,0], data[:,1]) | |
print("Linear fit results:") | |
print(f" slope: {fit.slope} +/- {fit.s_slope}") | |
print(f" intercept: {fit.intercept} +/- {fit.s_intercept}") | |
print(f" y uncertainty: {fit.s_y}") | |
# How to use: | |
# python linreg.py <data-file> | |
# where <data-file> is comma-separated x- and y-values | |
# or paste the values below, between the triple-quotes | |
""" | |
0.6,3 | |
1.1,16 | |
1.6,12 | |
2.1,20 | |
2.6,42 | |
3.1,37 | |
3.6,53 | |
4.1,56 | |
4.6,54 | |
5.1,75 | |
5.6,80 | |
6.1,91 | |
6.6,104 | |
7.1,94 | |
7.6,107 | |
8.1,118 | |
8.6,130 | |
9.1,133 | |
9.6,136 | |
10.1,152 | |
10.6,147 | |
11.1,159 | |
""" |
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