Solving the following task using linear regression with Python and related Python packages.

It is found that systolic pressure is linked to weight and age. In this assignment, we want to explore the relationship between weight, age, and systolic pressure. We are given the following training dataset and test dataset. Please use the learned linear regression model to train a model and get the trained model parameters. Then use the trained model to predict the pressure values of the test set. Please also compute the model performance on both the training and test sets regarding MSE.

Training set data:

weight $=[76,0,91,5,85,5,82*5,79,0,80,5,74,5,79,0,85*0,76\mathrm{.}5]$

age $=[50,20,20,30,30,50,60,50,40,55]$

pressure $=[120,141,124,126,117,125,123,125,132,123]$

Test set data:

weight $=[82\mathrm{.}0,95,0,92\mathrm{.}5]$

age $=[40,40,20]$

pressure $=[132,155,147]$