Description: * FILE: least-squares.c
* This program computes a linear model for a set of given data.
*
* PROBLEM DESCRIPTION:
* The method of least squares is a standard technique used to find
* the equation of a straight line from a set of data. Equation for a
* straight line is given by
* y = mx + b
* where m is the slope of the line and b is the y-intercept.
*
* Given a set of n points {(x1,y1), x2,y2),...,xn,yn)}, let
* SUMx = x1 + x2 + ... + xn
* SUMy = y1 + y2 + ... + yn
* SUMxy = x1*y1 + x2*y2 + ... + xn*yn
* SUMxx = x1*x1 + x2*x2 + ... + xn*xn
*
* The slope and y-intercept for the least-squares line can be
* calculated using the following equations:
* slope (m) = ( SUMx*SUMy - n*SUMxy ) / ( SUMx*SUMx - n*SUMxx )
* y-intercept (b) = ( SUMy - slope*SUMx ) / n
*
* AUTHOR: Dora Abdullah (Fortran version, 11/96)
* REVISED: RYL (converted to C, 12/11/96)
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least-squares.c