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6. Model Metrics for Regression Problems

Ankit Tomar, June 23, 2025June 10, 2025

Understanding the Right Way to Measure Accuracy

In machine learning, building a regression model is only half the work. The other half—and just as important—is evaluating its performance. But how do we know if the model is good? And how do we convince business stakeholders that it works?

This blog focuses on statistical accuracy of regression models—how we measure a model’s performance using quantitative metrics. But it’s worth noting upfront: accuracy and effectiveness are not the same.

  • Accuracy: Statistical measure of model performance (e.g., how close predictions are to actual values).
  • Effectiveness: Broader business impact (e.g., did the model help increase revenue or reduce costs?).

In this post, we’re zooming in on the statistical side.


🔍 Common Metrics for Regression Models

While there are many metrics available, in real-world projects, I’ve found only a few that are used consistently:

1. MAPE – Mean Absolute Percentage Error

MAPE measures the average percentage error between the actual and predicted values.

  • Interpretation: The lower the MAPE, the better. Closer to 0% is ideal.
  • Watch out: MAPE is sensitive to outliers and performs poorly when actual values are close to zero.

2. R² Score – Coefficient of Determination

R² tells us how well the model explains the variance in the target variable.

  • Range: 0 to 1 (sometimes negative if the model is worse than just predicting the mean).
  • Closer to 1: Model fits the data well.
  • Less than 0.5: Your model might be no better than a guess.

There’s also Adjusted R², which accounts for the number of predictors and is more useful in multiple regression scenarios.

3. RMSE – Root Mean Square Error

RMSE measures the average squared error between predicted and actual values. It penalizes large errors more than other metrics like MAE (Mean Absolute Error), which makes it useful when outliers matter.

  • Lower RMSE means better performance.
  • Good for: When large prediction errors are unacceptable (e.g., pricing, demand forecasting).

📌 My Tips on Metric Selection

  • Choose metrics based on business goals. If you’re predicting stock levels, MAPE might be more relevant. If you’re optimizing marketing spend, RMSE might make more sense.
  • Always track more than one metric. I usually monitor at least two metrics to get a more complete picture of model performance.
  • Avoid over-optimizing on a single metric. A high R² might still hide poor performance in certain business scenarios.

✅ Final Thoughts

Model evaluation is not about picking a number and optimizing until it looks good. It’s about understanding the problem, choosing the right metrics, and communicating results clearly.

Statistical performance is essential, but don’t forget the bigger picture—business value matters more than any metric on its own.

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