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Residuals = residuals from the full model, ^ = regression coefficient from the i-th independent variable in the full model, X i = the i-th independent variable. Partial residual plots are widely discussed in the regression diagnostics literature (e.g., see the References section below).
The residuals from the least squares linear fit to this plot are identical to the residuals from the least squares fit of the original model (Y against all the independent variables including Xi). The influences of individual data values on the estimation of a coefficient are easy to see in this plot.
Partial regression plots are also referred to as added variable plots, adjusted variable plots, and individual coefficient plots. Partial residual plot : In applied statistics, a partial residual plot is a graphical technique that attempts to show the relationship between a given independent variable and the response variable given that other ...
P–P plot; Parallel coordinates; Pareto chart; Pareto principle; Parity plot; Partial regression plot; Partial residual plot; Pictogram; Pie chart; William Playfair; Poincaré plot; Population pyramid; Price-Jones curve; Probability plot correlation coefficient plot; Process window index
Partial residual plot; Partial regression plot; Leverage; Durbin–Watson statistic; Condition number; Formal aids to model selection. Model selection;
This means that the residuals vector lies on an (N–1)-dimensional hyperplane S z that is perpendicular to z. The same also applies to the residuals e Y,i generating a vector e Y. The desired partial correlation is then the cosine of the angle φ between the projections e X and e Y of x and y, respectively, onto the hyperplane perpendicular to ...
Note that the partial leverage is the leverage of the point in the partial regression plot for the variable. Data points with large partial leverage for an independent variable can exert undue influence on the selection of that variable in automatic regression model building procedures.
Partial autocorrelation – redirects to Partial autocorrelation function; Partial autocorrelation function; Partial correlation; Partial least squares; Partial least squares regression; Partial leverage; Partial regression plot; Partial residual plot; Particle filter; Partition of sums of squares; Parzen window; Path analysis (statistics) Path ...