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39 changes: 38 additions & 1 deletion README.md
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Original file line number Diff line number Diff line change
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# Correlation and regression for data analysis
# EX:03 Correlation and regression for data analysis
# Aim :

To analyse given data using coeffificient of correlation and regression line
Expand All @@ -20,10 +20,47 @@ If y represents the dependent variable and x the independent variable, this rela
![image](https://user-images.githubusercontent.com/104613195/168225866-ac8f6610-bdc3-4ac2-a24e-2b24ba08e189.png)

# Program :
```PY
Name : DHAYANANTH P S
Register Number : 212223040039
import numpy as np
import math
import matplotlib.pyplot as plt
x=[ int(i) for i in input().split()]
y=[ int(i) for i in input().split()]
N=len(x)
Sx=0
Sy=0
Sxy=0
Sx2=0
Sy2=0
for i in range(0,N):
Sx=Sx+x[i]
Sy=Sy+y[i]
Sxy=Sxy+x[i]*y[i]
Sx2=Sx2+x[i]**2
Sy2=Sy2+y[i]**2
r=(N*Sxy-Sx*Sy)/(math.sqrt(N*Sx2-Sx**2)*math.sqrt(N*Sy2-Sy**2))
print("The Correlation coefficient is %0.3f"%r)
byx=(N*Sxy-Sx*Sy)/(N*Sx2-Sx**2)
xmean=Sx/N
ymean=Sy/N
print("The Regression line Y on X is ::: y = %0.3f + %0.3f (x-%0.3f)"%(ymean,byx,xmean))
plt.scatter(x,y)
def Reg(x):
return ymean + byx*(x-xmean)
x=np.linspace(20,80,51)
y1=Reg(x)
plt.plot(x,y1,'r')
plt.xlabel('x-data')
plt.ylabel('y-data')
plt.legend(['Regression Line','Data points'])
```

![image](https://github.com/ramjan1729/Correlation_Regression/assets/103921593/9eb48cbf-8ca3-4cd9-8440-ff45fd98333e)


# Result
![image](https://github.com/user-attachments/assets/c355755a-3f44-43eb-b17b-29bd4e3dc92e)

# Output