Say I wanted to generate 100 or so data points from a linear function what's the best way to go about it?
An example linear function y = 0.4*x + 3 + delta
where delta is a random value drawn from a uniform distribution between -10 and +10
I want delta to be generated for each data point to give some perturbation to the data.
import numpy as np
d = np.random.uniform(-10, 10)
This seems to fit the bill for delta although I'm unsure exactly how to generate the rest incorporating this.
It all rather depends on what x
values you want to evaluate your function. Assuming you want to plot from -50 to 50 just use x = np.arange(-50,50)
but then you need d = np.random.uniform(-10, 10, x.size)
.
Then just run your function: y = 0.4*x + 3 + delta
.
On the other hand if you want a linearly spaced x
you can also use np.linspace
or for logarithmicly spaced x
: np.logspace
.
In the end it could look like:
x = np.linspace(0, 100, 1000) # 1000 values between 0 and 100
# x = np.arange(-50, 50) # -50, -49, ... 49, 50
delta = np.random.uniform(-10, 10, x.size)
y = 0.4*x + 3 + delta
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