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while( my ( $distrib_type, $href ) = each %{ $distributions } )
{
...
    printf("Correlation Coefficient: %.2f\n", $regobj->pearson_r);
    printf("Variance (y): %.2f\n", $regobj->variance_y);
}

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Data for fast_increase:
Slope: 0.72
...
Intercept 2.77
Correlation Coefficient: 0.28
Variance (y): 6.11