Least Square Method Essay
A Report on
Least Square Method
Submitted By:
Ms Archi Prajapati
Enrollment No: 140320702024
Semester: I , M.E (Computer Science And Engineering)
Guided By:
Prof. Narendra Limbad
Computer Science Department,
L.J. Institute of Engineering and Technology,
Ahmedabad
Computer Science Department,
L.J. Institute of Engineering and Technology,
Ahmedabad
December, 2014
L.J INSTITUTE OF ENGINEERING AND TECHNOLOGY
CERTIFICATE This is to certify that the work presented in the report entitled
“Least Square Method” has been carried out by
Ms. Archi Prajapati
Enrollment No.:140320702024
Under my guidance as a partial fulfillment of requirements to
Award
ME Computer Science and Engineering
By Gujarat Technological University,
…show more content…
Introduction of Least Square
First of all we will understand that what is least square method.
The method of least squares is a standard approach to the approximate solution of over determined system , i.e., sets of equations in which there are more equations than unknowns. "Least squares" means that the overall solution minimizes the sum of the squares of the errors made in the results of every single equation.
Least square can be applied on o Straight Line(linear curve fitting) o Nonlinear curve fitting o Linear Weighted least square approximation o Nonlinear weighted least square approximation
Let the set of data point be (xi,yi),i=1,2….,m, and let the curve given by Y= f(x) be fitted to this data. At x=xi, the experimental value of the ordinate is yi and the corresponding value on the fitting curve is f(xi). If ei is the error of approximation at x=xi the we have The method of least squares grew out of the fields of astronomy and geodesy as scientists and mathematicians sought to provide solutions to the challenges of navigating the Earth's oceans during the Age of Exploration. The accurate description of the behavior of celestial bodies was the key to enabling ships to sail in open seas, where sailors could no longer rely on land sightings for
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