---
myst:
    substitutions:
        macro:
            python: 1-5,15-24,27-36
            cpp: 4-5,11-16,19-27
        bloc1:
            python: 16-17
            cpp: 4,11
        bloc2:
            python: "19"
            cpp: "13"
        bloc3:
            python: 31-33
            cpp: 23-24
---
# Macro "**modelerCornellLinearRegression.{{extension}}**"

## Objective

The objective of the macro is to build a multilinear regression between the predictors related to the 
normalisation of the variables **x1**, **x2**, **x3**, **x4**, **x5**, **x6**, **x7** and a target 
variable **y** from the database contained in the ASCII file `cornell.dat`:

{{
    "```{literalinclude} " + parent_dir +
        "/roottest/uranie/references/cornell.dat" 
    + "\n"
    + ":language: none\n"
    + "```"
}}

## Macro {{uranie}}

{{
    "```{literalinclude} " + parent_dir +
        "/roottest/uranie/doc/modeler/use_cases/" + language + "/modelerCornellLinearRegression." 
        + extension
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + macro[language] + "\n"
    + "```"
}}

The ASCII data file `cornell.dat` is loaded in the {{tds}}:

{{
    "```{literalinclude} " + parent_dir +
        "/roottest/uranie/doc/modeler/use_cases/" + language + "/modelerCornellLinearRegression." 
        + extension 
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc1[language] + "\n"
    + "```"
}}

The variables are all normalised with a standardised method. The normalised attributes are created 
with the *cr* extension:

{{
    "```{literalinclude} " + parent_dir +
        "/roottest/uranie/doc/modeler/use_cases/" + language + "/modelerCornellLinearRegression." 
        + extension 
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc2[language] + "\n"
    + "```"
}}

The linear regression is initialised and characteristic values are computed for each normalised 
variable with the `estimate` method. The regression is built with no intercept:

{{
    "```{literalinclude} " + parent_dir +
        "/roottest/uranie/doc/modeler/use_cases/" + language + "/modelerCornellLinearRegression." 
        + extension 
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc3[language] + "\n"
    + "```"
}}

## Graph

{{
    "```{figure} " + parent_dir +
        "/roottest/build/uranie/doc/modeler/use_cases/" + language 
        + "/cornell/modelerCornellLinearRegression.png\n"
    + ":align: center\n"
    + ":name: use_cases_modelerCornellLinearRegression\n"
    + figure_scale + "\n"
    + "\n"
    + "Graph of the macro **\"modelerCornellLinearRegression." + extension + "\"**" + "\n"
    + "```"
}}