Number of coeffecients in Temperature Prediction Project

Hi,

I am very much impressed by the content of the course. However, I would be happy if you guys can clear my doubt i.e. How to indentify what shall be the number of coeffecients used in Temperature Prediction Project ?

If is there any trick, then please help us to know so that time and energy can be saved in tuning the model with minimum error coeffecients in predicting polynomial regression.

Looking forward for the fast and accurate reply/

1 Like

@himanshumanghani95
Apologies for the late reply. My colleague @vinayak.joshi will answer your query by EOD.

Hey, you see, finding the number of coefficients should be only done but trial and error method, but I can tell you some ways to reduce the time to find the coefficients

To identify the number of coefficients used in a temperature prediction project, you typically need to perform a model selection process. Here are some steps you can follow:

  1. Collect Data: Gather a dataset containing historical temperature data. Include relevant features such as date, time, location, and any other variables that might influence temperature.

  2. Explore the Data: Perform exploratory data analysis (EDA) to understand the characteristics of your dataset. Visualize the data, check for missing values, outliers, and assess the distribution and relationships between variables.

  3. Feature Engineering: If needed, preprocess and engineer additional features that could improve the prediction performance. This might involve transforming variables, creating lag variables, or extracting relevant information from existing features.

  4. Split the Data: Divide your dataset into training and testing sets. The training set is used to train the model, while the testing set is used to evaluate its performance.

  5. Choose a Model: Select a regression model suitable for temperature prediction, such as linear regression, polynomial regression, support vector regression, or a machine learning algorithm like random forest or gradient boosting.

  6. Implement the Model: Train the chosen model using the training dataset and evaluate its performance on the testing dataset. This can be done by calculating metrics like mean squared error (MSE), root mean squared error (RMSE), or coefficient of determination (R-squared).

  7. Iterative Feature Selection: Begin with a subset of potential features and evaluate the model’s performance. You can use various techniques like forward selection, backward elimination, or stepwise regression to add or remove features and assess the impact on the model’s performance. Monitor the evaluation metrics at each step.

  8. Cross-Validation: To ensure the robustness of your model selection process, consider performing cross-validation. This technique involves splitting the data into multiple folds and training/evaluating the model on different combinations of folds. It provides a more comprehensive assessment of the model’s performance and helps in selecting the most suitable features.

  9. Evaluate and Compare Models: Iterate through different feature subsets and evaluate the performance of each model. Compare the performance metrics to identify the best subset of features. Consider factors like prediction accuracy, model complexity, and interpretability.

  10. Finalize the Model: Once you have identified the optimal number of coefficients (features), retrain the chosen model using the entire training dataset. This will ensure the model is trained on the maximum available data for better generalization.

It’s important to note that the number of coefficients used in the model depends on the complexity of the problem and the available data. It’s a balance between including enough relevant information and avoiding overfitting. Experimenting with different feature subsets and applying proper evaluation techniques will help you determine the appropriate number of coefficients for your temperature prediction project.