Executive Summary

Key Ridge Regression Insights

OV

Executive Summary

Ridge Regression Results

0.95
R² Score

Executive summary of ridge regression analysis

0.95
r squared
0.948
adj r squared
4.79
rmse
1.54
optimal lambda
13.68
shrinkage factor
IN

Key Insights

Executive Summary

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Executive Summary

No insights available

Insights were not requested for this analysis.

RC

Recommendations

Business Insights

Business insights and recommendations

IN

Key Insights

Recommendations

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Recommendations

No insights available

Insights were not requested for this analysis.

Model Performance

Actual vs Predicted Analysis

PF

Model Performance

Actual vs Predicted

0.95
RMSE

Model performance metrics and predictions

0.95
r squared
4.793
rmse
3.836
mae
IN

Key Insights

Model Performance

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Model Performance

No insights available

Insights were not requested for this analysis.

Regularization Analysis

Cross-Validation for Lambda Selection

RP

Regularization Path

Cross-Validation Error

1.536
Optimal λ

Cross-validation for lambda selection

1.536
lambda min
2.684
lambda 1se
IN

Key Insights

Regularization Path

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Regularization Path

No insights available

Insights were not requested for this analysis.

Coefficient Evolution

Ridge Trace Plot

CP

Coefficient Paths

Ridge Trace Plot

100
Shrinkage

Coefficient evolution across lambda values

100
n lambdas
IN

Key Insights

Coefficient Paths

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Coefficient Paths

No insights available

Insights were not requested for this analysis.

Residual Diagnostics

Model Assumptions Check

RA

Residual Analysis

Residuals vs Fitted

4.817
Pattern

Residual diagnostics

4.817
residual std
IN

Key Insights

Residual Analysis

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Residual Analysis

No insights available

Insights were not requested for this analysis.

Normality Analysis

Q-Q Plot and Distribution

NC

Normality Check

Q-Q Plot

0.652
Normality

Normality assessment of residuals

0.652
shapiro p
IN

Key Insights

Normality Check

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Normality Check

No insights available

Insights were not requested for this analysis.

Multicollinearity Handling

VIF Analysis and Ridge Solution

MC

Multicollinearity

VIF Analysis

3
Max VIF

VIF analysis for multicollinearity

Variable
x1
x2
x3
-Inf
max vif
IN

Key Insights

Multicollinearity

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Multicollinearity

No insights available

Insights were not requested for this analysis.

CF

Ridge Coefficients

Regularized Estimates

4
Shrinkage

Ridge regression coefficients

Variable Coefficient Regularized
(Intercept) 78.176 TRUE
x1 14.494 TRUE
x2 3.206 TRUE
x3 -13.277 TRUE
3
n features
4
n regularized
IN

Key Insights

Ridge Coefficients

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Ridge Coefficients

No insights available

Insights were not requested for this analysis.

Model Selection

Lambda Comparison

CM

Model Comparison

Lambda Selection

3
Best Model

Comparison of regularization parameters

Model Lambda RMSE Description
Ridge (lambda.min) 1.536 4.793 Minimum CV error
Ridge (lambda.1se) 2.684 NA More regularized
OLS (lambda=0) 0.000 NA No regularization
IN

Key Insights

Model Comparison

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Model Comparison

No insights available

Insights were not requested for this analysis.

SA

Shrinkage Analysis

Coefficient Reduction

1368
Shrinkage factor

Analysis of coefficient shrinkage

1368
shrinkage factor
1.75
lambda ratio
IN

Key Insights

Shrinkage Analysis

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Shrinkage Analysis

No insights available

Insights were not requested for this analysis.

Shrinkage Effects

Coefficient Regularization Impact

SA

Shrinkage Analysis

Coefficient Reduction

1368
Shrinkage factor

Analysis of coefficient shrinkage

1368
shrinkage factor
1.75
lambda ratio
IN

Key Insights

Shrinkage Analysis

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Shrinkage Analysis

No insights available

Insights were not requested for this analysis.

CF

Ridge Coefficients

Regularized Estimates

4
Shrinkage

Ridge regression coefficients

Variable Coefficient Regularized
(Intercept) 78.176 TRUE
x1 14.494 TRUE
x2 3.206 TRUE
x3 -13.277 TRUE
3
n features
4
n regularized
IN

Key Insights

Ridge Coefficients

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Ridge Coefficients

No insights available

Insights were not requested for this analysis.

CM

Model Comparison

Lambda Selection

3
Best Model

Comparison of regularization parameters

Model Lambda RMSE Description
Ridge (lambda.min) 1.536 4.793 Minimum CV error
Ridge (lambda.1se) 2.684 NA More regularized
OLS (lambda=0) 0.000 NA No regularization
IN

Key Insights

Model Comparison

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Model Comparison

No insights available

Insights were not requested for this analysis.

Business Insights

Key Findings and Technical Details

RC

Recommendations

Business Insights

Business insights and recommendations

IN

Key Insights

Recommendations

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Recommendations

No insights available

Insights were not requested for this analysis.

OV

Executive Summary

Ridge Regression Results

0.95
R² Score

Executive summary of ridge regression analysis

0.95
r squared
0.948
adj r squared
4.79
rmse
1.54
optimal lambda
13.68
shrinkage factor
IN

Key Insights

Executive Summary

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Executive Summary

No insights available

Insights were not requested for this analysis.

TD

Technical Details

Methodology & Parameters

100
Details

Technical specifications

y ~ x1+x2+x3
formula
100
n observations
3
n features
10
cv folds
0
alpha
IN

Key Insights

Technical Details

No insights available

Insights were not requested for this analysis.

IN

Key Insights

Technical Details

No insights available

Insights were not requested for this analysis.