Download presentation

Presentation is loading. Please wait.

Published byJosiah Hopton Modified over 3 years ago

1
Linear Least Squares Approximation Jami Durkee

2
Problem to be Solved Finding Ax=b where there are no solution y=x y=x+2 Interpolation of graphs where there are numerous points or if it is not possible to find – Examples: interpolation of: {(-20,1),(-15,5/2),(-15/2,-2),(0,0),(1,0),(2,3),(4,4),(9,-1),(10,3/2),(11,0)} OR

3
Definition Least squares solution- the closest value to x, in this case the closest line to all data points

4
How to solve it

5
How to develop the algorithm

6
example

7
Error

8
Advantages It can be done using any data points and for as many data points as wanted It is only one variable so it is easier to solve for and graph Several different errors can be found

9
Disadvantages It is only an approximation, unless the points are in a line the linear least square will not be on any or all of the points The graph may go through one or more points, but it does not have to so all points could have an error Deciding which error to use

Similar presentations

OK

UNIT 2: SOLVING EQUATIONS AND INEQUALITIES SOLVE EACH OF THE FOLLOWING EQUATIONS FOR y. # 1. - 2 x + 5 y = 15 + 2 x 5 y = 2 x + 15 55 y = 2 x + 15 5 y.

UNIT 2: SOLVING EQUATIONS AND INEQUALITIES SOLVE EACH OF THE FOLLOWING EQUATIONS FOR y. # 1. - 2 x + 5 y = 15 + 2 x 5 y = 2 x + 15 55 y = 2 x + 15 5 y.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on time management for college students Download ppt on journal ledger and trial balance A ppt on loch ness monster pictures Ppt on c++ programming language Ppt on different types of computer softwares examples Ppt on question tags games Ppt on db2 introduction to economics Download ppt on bullet train Ppt on cross border merger and acquisition Ppt on tcp ip protocol suite 3rd