# All You Need To Know About Linear Regression in Data ScienceĀ

Almost every industry usesĀ linear regression in data science. From Finance to Human Resources, finds applications because of its simplicity. This diverse tool predicts outcomes, studies trends, and performs feature selection. If you wish to establish a career in data science, this topic is important. It eases the complex statistical modelling techniques for you.Ā

Keep reading to learn the meaning and types of linear regression. Explore the assumptions, model evaluation, and learn the importance of using this technique. Finally, get a tip to boost your resume with a job-guaranteed program.Ā

Let's begin!Ā

## Important termsĀ

Before moving forward, let's take a quick stop. The terms listed below will help you understand the concept better.Ā

• Dependent variable: It is also known as a response or target variable.

• Independent variable: Also known as a predictor or explanatory variable.Ā

## What is Linear Regression?Ā

Technically, linear regression is a statistical modelling technique. You use it to establish a linear relationship between two variables. These variables are dependent and independent. When we use one dependent variable, the model evaluates its relationship with multiple independent variables. The main aim of linear regression is to find a linear equation that best fits the dependent and independent variables.Ā

### 1. Types

Before jumping to the equations, you must know the types of linear regression.Ā

• Simple linear regression: In a Cartesian coordinate system, a simple linear equation is seen as a straight line. Similarly, simple linear regression displays a straight lined-relationship between one dependent and one independent variable.Ā

The equation of simple linear regression is y = a + bx + c. The terms are explained below.Ā

• y is the dependent variable

• x is the independent variable

• a is the y-interceptĀ

• b is the slope (or coefficient)

• c is the error termĀ

• Multiple linear regression: As the name suggests, in multiple linear regression, you'll find more than one independent variable. As there are multiple independent variables, this regression is represented in a hyperplane.Ā

The equation is y = a + bāxā + bāxā + ... + bāxā + c. Here, the terms are explained below.Ā

• y is the dependent variable

• xā,ā¦ are the dependent variablesĀ

• a is the y-intercept

• bā, bā, ..., bā are the slopes corresponding to each variable

• c is the error termĀ

### 2. Assumptions

To present accurate results, linear regression makes the following assumptions.Ā

• The dependent and independent variables are related linearly.Ā

• Every observation in the model is not dependent on any other observation.

• At every level of independent variables, the variance of errors is constant.

• The errors in the model are normally distributed.

• Multiple independent variables are not highly correlated with each other.

### 3. Model Evaluation & Interpretation

Once you've fitted a linear regression model, it's time to evaluate performance and interpret results. The evaluation metrics listed below help in this process.Ā

• Coefficient of determinationĀ

• Root mean squared method

• Hypothesis testing of coefficientsĀ

## Why is Linear Regression used in Data Science and Analytics?Ā

Linear regression is used for building models that predict the value of a dependent variable based on the independent variables. It also helps analyse trends by fitting a linear regression equation to historical data points. You will also find its use in assessing variables and their impact on each other.Ā

In Real Estate, linear regression helps in predicting house prices. It considers variables like location, number of rooms, and size for this task. Similarly, the technique predicts the relationship between advertising spending and customer behaviour. In such cases, linear regression helps companies in making the right decisions that lead to better results. On a national level, this mathematical model is also used to identify risk factors in healthcare. For this, it uses age, gender, and costs as the variables.Ā

## Get a resume boost with a job-guaranteed programĀ

In short, linear regression is a statistical technique that helps several industries. It does that by predicting the relationship between variables, allowing feature selection, and much more.Ā From Finance and Banking to Healthcare, every industry uses it for prediction analysis.

To become a successful professional in the field of data science and analytics, you must attest your knowledge of linear regression with a valid certification.Ā Imarticus LearningĀ gives you a platform to learn from the best mentors. Join the bestĀ Data Science and Analytics Postgraduation CourseĀ that guarantees placement. With the job-specific curriculum, you will always know the answers to the questions asked during your interviews.

With more than 1500 students placed, Imarticus Learning has a list of companies waiting to hire you. Start your journey towards excellence, today!Ā

Analytics

Analytics