#### Overview of this book

Machine learning applications are highly automated and self-modifying, and continue to improve over time with minimal human intervention, as they learn from the trained data. To address the complex nature of various real-world data problems, specialized machine learning algorithms have been developed. Through algorithmic and statistical analysis, these models can be leveraged to gain new knowledge from existing data as well. Data Science Algorithms in a Week addresses all problems related to accurate and efficient data classification and prediction. Over the course of seven days, you will be introduced to seven algorithms, along with exercises that will help you understand different aspects of machine learning. You will see how to pre-cluster your data to optimize and classify it for large datasets. This book also guides you in predicting data based on existing trends in your dataset. This book covers algorithms such as k-nearest neighbors, Naive Bayes, decision trees, random forest, k-means, regression, and time-series analysis. By the end of this book, you will understand how to choose machine learning algorithms for clustering, classification, and regression and know which is best suited for your problem
Title Page
Packt Upsell
Contributors
Preface
Free Chapter
Classification Using K-Nearest Neighbors
Time Series Analysis
Python Reference
Statistics
Glossary of Algorithms and Methods in Data Science
Other Books You May Enjoy
Index

## Fahrenheit and Celsius conversion – linear regression on perfect data

Fahrenheit and Celsius degrees are related in a linear way. Given a table with pairs of both Fahrenheit and Celsius degrees, we can estimate the constants to devise a conversion formula from degrees Fahrenheit to degrees Celsius, or vice versa:

 ⁰F ⁰C 5 -15 14 -10 23 -5 32 0 41 5 50 10

### Analysis from first principles

We would like to derive a formula for converting F (degrees Fahrenheit) to C (degrees Celsius), as follows:

Here, a and b are the constants to be found. A graph of the

function is a straight line and, thus, is uniquely determined by two points. Therefore, we actually only need two points from the table, say, pairs (F1,C1) and (F2,C2). Then, we will have the following:

Now, we have the following:

.

Therefore, we have the following:

Here, let's take the first two pairs (F1,C1)=(5,-15) and (F2,C2)=(14,-10). This will give us the following:

Therefore, the formula to calculate degrees Celsius from degrees Fahrenheit is as follows:

Let...