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Regression

Main Help

Basic Statistics
Mean
n
Median
STDEV
Cp Cpk % out of tolerance
Min/Max
Compare with
Calculate Difference
Diff mean normally
Diff median not normally
Diff variation normally
Diff variation not normally
Normally test
Correlation
Regression
Kurtosis
Skewness


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If Correlation test is selected and and the comparing column contains 4 or more values in the same row the regression formula is calculated.
Calculates the linear regression formula between two comparing columns.
The correlation does not work in DOE mode because there are no pairs in this mode.

Interpretation

Formula for calculating the linear regression formula.

formula

formula

formula

Legend

x = Current column
y = Comparing column

Example

Between data-sets A and D is a correlation (Row Correl p <0.05) and the regression is 0.51X + 0.49.

Data file

External links

http://en.wikipedia.org/wiki/Simple_linear_regression

Multiple linear Regression

Main Help

Tools
Proportions
Chi Square test
One way Anova
Kruskal-Wallis Test
Variation Levene test
Multiple Correlation
Multiple linear Regression
Generate Distribution
Calculations
Filter
Box-Cox transformation
Gauge R&R
Distribution fitting
Graphs


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For commersial use
75 EURO

Interpretation

Formula

Correlation coefficients

formula
formula
formula
formula
formula
formula

The formula is put in to matrices.

formula

formula

To Calculate the formula factors the following formula is used

formula

To calculate the correlation coefficient formula the following formulas are used.

Anova table

dfSSMS
Totaln-1formulaformula
Regressionkformulaformula
Errorn-k-1formulaformula

formula

formula

formula

Legend

formula= Transposed matrix
formula= inverse matrix
formula= y value predicted by the formula
formula= Average y value
formula= error
formula= multiple correlation coefficient

Example

To use the Multiple Regression test "Menu: Tools=> Multiple Linear Regression". Then select the input data-sets and a response data set. In this example the regression is a significant.
According the Anova there is at least one predictor significant. Looking to the T-test predictor A is significant. And the the normality of the residual is OK it is bigger than 0.10.

Data file

External links