please use .mat file traffic data sample data

please don't use any package, but build own class and function to solve the multiple linear regression

3. Regression with Multiple Outputs Some tasks will require a model that can prodace multiple outpuitsi One such task is predicting traffic flow for 36 spatial locations 15 minutes into the future. The output of your finear regression model willa a 66 dimensional vector representing the relative traffic congestion of each location. The training and testing should be contained in a single evaluation script so that the results can be easily reproduced. 3.1 Preparing the Data To get started, download the dataset from here and extract the igat file in to the local data directory. A notebook has been provided which demonstrates loading the data into a numey array. 3.2 Training Use your linear regression dass from pait i to train a model using the provided data. Feel free to choose whatever hyperparameters you think would work best for this. it is recommended that you try a range of possible combinations to see what yields the best performance In your report, describe your strategy for training. 3.3 Testing This dataset already has a test set prepared. Use that test set to evaluate your trained model's performance. Record the result and include it in your report. 3.4 BONUS: Improving Accuracy In the paper "Spatial Auto-regressive Dependenoe interpretable Learning Based on Spatial Topological Constraints" by Zhao et al, they repert a best error of 0.0454 RMSE (Root Mean Squared Error) using a linear regression model. If your implementation can get close to or lower than this error, an extra 20 bonus points is yours. Submission Create a zip file that includes all of your code as well as your report. The TA should be able to easily run the code to reprociuce all plots and results. Include any additional instructions, if necessary