Multiple regression expressions in Python

Task

No. Degree of orientation temperature pressure
1 45 17.5 30
2 38 17.0 25
3 41 18.5 20
4 34 16.0 30
5 59 19.0 45
6 47 19.5 35
7 35 16.0 25
8 43 18.0 35
9 54 19.0 35
10 52 19.5 40

Method

Contents

stat.py


# coding: UTF-8
import numpy as np

def stat(obj, exp):

    n = exp.shape[1]

    exp = np.vstack([np.ones(n), exp]) #Constant term, explanatory variable

    coef = np.linalg.lstsq(exp.T, obj)[0] #Partial regression coefficient

    return coef

if __name__ == '__main__':

    f = (45, 38, 41, 34, 59, 47, 35, 43, 54, 52)                     #Degree of orientation
    t = (17.5, 17.0, 18.5, 16.0, 19.0, 19.5, 16.0, 18.0, 19.0, 19.5) #temperature
    p = (30, 25, 20, 30, 45, 35, 25, 35, 35, 40)                     #pressure

    obj = np.array(f)      #Objective variable
    exp = np.array([t, p]) #Explanatory variable

    b0, bt, bp = stat(obj, exp)

    print "Multiple regression equation:Degree of orientation= %f + %f*temperature+ %f*pressure" % (b0, bt, bp)

> python stat.py 
Multiple regression equation:Degree of orientation= -34.712931 + 3.469813*temperature+ 0.533009*pressure

reference

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