Least squares regression analysis calculates best-fit alignments.
Cant Design Tools
Integrated cant and horizontal design ensures compliance with design standards.
Least squares - A statistical method of fitting a mathematical model. It is based on computing the minimum sum of the squared deviation between measured data and their estimates (i.e. the mean value).
...
The method of least squares, which was used to minimize errors in data measurement, was published independently by Adrien-Marie Legendre (1805), Robert Adrain (1808), and Carl Friedrich Gauss (1809).
which solves a least squares problem minimizing the surface curvature. These are the two alternate smoothing operations proposed and previously described for the mass preserving interpolation problem on a plane.
Use least squares adjustment to incrementally update your parcel fabric with each new survey plan. In parallel, adjust related GIS layers such as utility networks, building footprints, and roads and easements.
The Franklin algorithm then says compute the "best" solution using a least squares approach. The LSQR algorithm, which is a well-known iterative least squares solver developed by Dr. Saunders and Dr. Paige at Stamford University is used to do this.
Sound survey methodology—Use least squares adjustment (not rubber sheeting) and your control points to fit data, yielding the best parcel location from the data entered.
x' = ax + by +c y' = Ax + Bt +C The a,b,c,A,B,C are determined by least squares regression based on the control points entered. This transformation applies scaling, translation and rotation.
The polynomials are fitted to the sample data using the least squares adjustment (an alternative name of the fitting procedure is the regression).
All major statistical software packages perform least squares regression analysis and inference. Simple linear regression and multiple regression using least squares can be done in some spreadsheet applications and on some calculators.
[ESRI software] In Survey Analyst for field measurements, one of two phases involved when performing a least squares adjustment for a measurement network.
DA Form 1925. Quadrilateral Adjustment (Least Squares Method). 1 February 1957.
DA Form 1927. Latitude and Longitude Adjustment. 1 February 1957.
DA Form 1930. Special Angle Computation. 1 February 1957.
Operational Linescan (or Line Scan) imaging system; Ordinary Least Squares; Operational Line Scanner (DMSP)
OM
Oil and Gas Investigation Map (USGS) ...
When there are more control points, than actually needed for the estimation of the coefficients (transformation parameters), the Root Mean Squares Error (RMSE) can be calculated using the Least Squares Adjustment.
This shape change could be defined by any one of many transformations, such as changing a map projection, trilateration to change the absolute position of specified nodes in the vector object, fitting a polynomial to a surface, least squares ...
To resolve this, all observations are usually combined into a mathematical process which produces the best position for each point along with an estimate of the uncertainty. This process is known as a Least Squares adjustment.
It calculates band locations (indexed to the wavelength at the bottom of the trough) and depths, using a continuum base as reference. The weighted fit leads to correlation coefficients that a least squares routine numerically fixes.
 See also: Model, Information, Surface, Survey, Analysis
|
