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WEIGHTED LEAST SQUARES METHOD

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WEIGHTED LEAST SQUARES WITH EXAMPLES   what is weighted least square: Weighted least square regression , also known as weighted linear regression , is a generalization of ordinary least squares and linear regression in which knowledge of the variances of observations is incorporated into the regression. It’s an extension of ordinary least squares regression. Non – negative constants ( weights) are  attached to data points . It’s handle cases where data quality varies  .i.e., one of the common assumptions underlying most process modelling methods , including linear and non linear least square regression ,is that each data  point provides  equally precise information about the deterministic part of the total process variation. In weighted fit , less weight is given to the less precise measurements and more weight to more precise measurements when estimating the unknown parameters in the  model. Using weights that are inversely proportional to the variance at ...