Multiple linear regression

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About

Determines the linear relationship existing between a variable and two or more other variables, i.e. multiple correlation.

Requires

Y variables and X variables to be compared. The number of observations provided must be more than the number of independent variables.

Feature

Where one Variable of a dataset is missing, that whole observation is ignored.

Parameters

Multiple linear regression dialog

Variables

Select one or more Y variables and two or more X variables (See Selecting variables for details). Output will be produced for each Y variable comparing it with all X variables.

Block Mode

For this test a special One to Many mode is used. Performing as many tests as you have Y variables selected.

Options

Subtitle

Allows you to specify an optional subtitle which will be included in the statistical output.

Filters

Multiple linear regression dialog

Allows you to select rows for analysis based upon conditions in other variables (See Filtering datasets for details)

Buttons

?

Opens the help system for this dialog.

Dataset…

Sends the output from this analysis to a new OxonStat Dataset. See Dataset output for more details.

Print…

Sends the output from this analysis to a printer.

Cancel

Cancels the analysis and closes the dialog.

Screen…

Displays the output from this analysis in the Results window.

Sample output

OxonStat20:43, 12 Aug 2023

Y data:Weight_1
X data:Age, Gender and Sys_BP
Subtitle:<none>
Statistic:Multiple Linear Regression
Dataset:OxonStat Demo
Range:Row 1 [Green] to Row 38 [Hall]
Filter:<no filter>
Count:38 of 38 rows selected

r-square0.139

SourceSum squaresMean SquaredfFp
Regression2362.4893787.496431.8230.1599
Residual14687.9639431.998934
Total17050.4531460.823137

VariableBSEBetatp
Age-1.02920.4598-0.3681-2.2380.0323
Gender1.50257.89520.03120.1900.8503
Sys_BP0.22450.20490.18571.0960.2812
Intercept107.7854


Covariance Matrix of Regression Coefficient

 AgeGenderSys_BP
Age0.21140.0786-0.0234
Gender 62.3348-0.3892
Sys_BP  0.0420




OxonStat20:43, 12 Aug 2023

Y data:Height
X data:Age, Gender and Sys_BP
Subtitle:<none>
Statistic:Multiple Linear Regression
Dataset:OxonStat Demo
Range:Row 1 [Green] to Row 38 [Hall]
Filter:<no filter>
Count:38 of 38 rows selected

r-square0.418

SourceSum squaresMean SquaredfFp
Regression1277.6525425.884238.1550.0003
Residual1775.597552.223534
Total3053.250082.520337

VariableBSEBetatp
Age-0.15660.1599-0.1324-0.9790.3347
Gender-12.54732.7451-0.6164-4.571<0.0001
Sys_BP-0.01830.0712-0.0358-0.2570.7988
Intercept196.7372


Covariance Matrix of Regression Coefficient

 AgeGenderSys_BP
Age0.02560.0095-0.0028
Gender 7.5355-0.0470
Sys_BP  0.0051