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Artificial Intelligence and Machine Learning Fundamentals

You're reading from   Artificial Intelligence and Machine Learning Fundamentals Develop real-world applications powered by the latest AI advances

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Product type Paperback
Published in Dec 2018
Publisher
ISBN-13 9781789801651
Length 330 pages
Edition 1st Edition
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Author (1):
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Zsolt Nagy Zsolt Nagy
Author Profile Icon Zsolt Nagy
Zsolt Nagy
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Linear Regression with Multiple Variables


In the previous topic, we dealt with linear regression with one variable. Now we will learn an extended version of linear regression, where we will use multiple input variables to predict the output.

We will rely on examples where we will load and predict stock prices. Therefore, we will experiment with the main libraries used for loading stock prices.

Multiple Linear Regression

If you recall the formula for the line of best fit in linear regression, it was defined as y = a*x + b, where a is the slope of the line, b is the y-intercept of the line, x is the feature value, and y is the calculated label value.

In multiple regression, we have multiple features and one label. Assuming that we have three features, x1, x2, and x3, our model changes as follows:

y = a1 * x1 + a2 * x2 + a3 * x3 + b

In NumPy array format, we can write this equation as follows:

y = np.dot(np.array([a1, a2, a3]), np.array([x1, x2, x3])) + b

For convenience, it makes sense to define the...

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