Question in image. Write a code for the least squares method that fits a straigh

Question

Question in image.

Write a code for the least squares method that fits a straight line to a set of data. The program should find the values of a0 and a1 and print the straight line equation. Use the data from the example in the slides, which is shown below. Verify that the code produces the same straight line equation that's shown in the slide. The output of the program should be the data set in the table above and the straight line equation. Note, in a program like this, it's better to declare all the data type as 'double', except for the loop counters.

Explanation / Answer

#include<stdio.h> #define to .5 int main() { float x1,x2,y1,y2,m,c; printf("enter the value of x1 and y1 "); scanf("%f %f",&x1,&y1); printf("enter the value of x2 and y2 "); scanf("%f %f",&x2,&y2); if(x1==x2&&y1==y2) { printf("they are same points infinite number of lines are possible "); } else if(x1==x2||y1==y2) { if(x1==x2) printf("the equation of line is x= %f",x1); else printf("the equation of line is y= %f",y1); } else { m= (y2-y1)/(x2-x1); c=y2-(m*x2); printf("the equation of line is y=%fx+%f ",m,c); } return 0; }

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