Building Multiple Linear Regression | Multiple Linear Regression
Linear Regression with Python

# Building Multiple Linear Regression

The `OLS` class allows you to build Multiple Linear Regression the same way as Simple Linear Regression. But unfortunately, the `np.polyfit()` function does not handle the multiple features case.

We will stick with the `OLS` class.

## Building X̃ matrix

We have the same dataset from the simple linear regression example, but it now has the mother's height as the second feature. Let's load it and look at its `X` variable.

Remember, we should use `OLS(y, X_tilde)` to initialize the `OLS` object. As you can see, the X variable already holds two features in separate columns. So to get the X_tilde, we only need to add 1s as a first column. The `sm.add_constant(X)` function is doing exactly that!

## Finding the parameters

Great! Now we can build the model, find the parameters and make predictions the same way we did in the previous section.

Note

Now that our training set has 2 features, we need to provide 2 features for each new instance we want to predict. That's why `np.array([[65, 62],[70, 65],[75, 70]])` was used in the example above. It predicts `y` for 3 new instances: [Father:65,Mother:62], [Father:70, Mother:65], [Father:75, Mother:70]

What does the `sm.add_constant(X)` do?

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Linear Regression with Python

# Building Multiple Linear Regression

The `OLS` class allows you to build Multiple Linear Regression the same way as Simple Linear Regression. But unfortunately, the `np.polyfit()` function does not handle the multiple features case.

We will stick with the `OLS` class.

## Building X̃ matrix

We have the same dataset from the simple linear regression example, but it now has the mother's height as the second feature. Let's load it and look at its `X` variable.

Remember, we should use `OLS(y, X_tilde)` to initialize the `OLS` object. As you can see, the X variable already holds two features in separate columns. So to get the X_tilde, we only need to add 1s as a first column. The `sm.add_constant(X)` function is doing exactly that!

## Finding the parameters

Great! Now we can build the model, find the parameters and make predictions the same way we did in the previous section.

Note

Now that our training set has 2 features, we need to provide 2 features for each new instance we want to predict. That's why `np.array([[65, 62],[70, 65],[75, 70]])` was used in the example above. It predicts `y` for 3 new instances: [Father:65,Mother:62], [Father:70, Mother:65], [Father:75, Mother:70]

What does the `sm.add_constant(X)` do?

Виберіть правильну відповідь

Все було зрозуміло?

Секція 2. Розділ 3