This document is a lab assignment submitted by Mourin Mondol (ID-152-35-1298) for a Numerical Analysis lab on April 13, 2018. The assignment involves writing C code to calculate the linear regression equation Y=a0+a1X from input data pairs (X,Y) by computing the sums of X, Y, X*Y, and X^2 over n data points and using these to directly calculate the coefficients a0 and a1.

1. LAB ASSIGNMENT 4
Submitted By
MOURIN MONDOL
ID-152-35-1298
Numerical Analysis Lab
13/04/2018

2. #include <stdio.h>
int main(){
int n;
scanf("%d",&n);
double X,Y,SX=0,SY=0,SXY=0,SXX=0;
for(int i=0;i<n;i++){
scanf("%lf%lf",&X,&Y);
SX+=X,SY+=Y,SXY+=(X*Y),SXX+=(X*X);
}
double XBAR=SX/n,YBAR=SY/n;
double a1=(((n*SXY)-(SX*SY))/((n*SXX)-(SX*SX)));
printf("a1=%lfn",a1);
double a0=YBAR-(a1*XBAR);
printf("a0=%lfn",a0);
printf("Y=%lf+%lfXn",a0,a1);
return 0;
}
OUTPUT