What is Linear Regression?

What is Linear Regression?

What is Linear Regression?

In this topic we actually learn how do we make Machines learn from data and what particular Mathematics is used behind that and how to the particular algorithm is built.

Linear Regression is a part of Supervised Learning Technique which is first most basic part of Machine Learning. So, Linear Regression can be called as first most Machine Learning algorithm.

Linear Regression

Definition:

Linear Regression is a Supervised Learning Algorithm that learns from a set of training samples. It estimates the relationship between a dependent variable (target/label) and one or more independent variable (predictors).

Linear Regression

Regression Equation:

y = mx + c

Where,

Y is Output variable,

X is Input variable

m and c are the parameters

Machine Learning Certification Training

Types of Linear Regression:

There are three types of Linear Regression. They are:

  1. Univariate Linear Regression
  2. Multivariate Linear Regression
  3. Polynomial Linear Regression

Linear Regression Type

So, clearly from the equation we can make out that the Regression equation depends on the values of m and c. Let’s see that in the below examples.

Linear Regression Equations

is the predicted value

When m=0 and c=40; Line is parallel to the X-axis.

When m=0.8 and c=0; Line passes across center.

When m=0.8 and c>0; Line is shifted above the x-axis for the value equal to c.

Error function:

e =  – y

Where is Predicted value and

Y is Actual value.

Error depends on the values of m and c.

Linear Regression Error Functions

Our aim here is to build an algorithm which can minimize the error of the problem.

Machine Learning Interview Questions and Answers

Cost function:

For that we use the cost function of Linear Regression. Which is,

Linear Regression Cost Functions

Here goal is to minimize the cost function J by changing m and c. This is called optimization and in order to perform this we need particular optimizers. The most important optimizer we use here in Linear Regression among all is Gradient Descent Algorithm.

Gradient Descent Algorithm

Where,

w is the parameter(m or c) and

lr is the Learning rate

What is Learning Rate?

Learning Rate is the value which the developer (person building the model) gives which decides how fast the algorithm learns from data.

Learning Rate should range between 0 to 1.

Simple Python code for Linear Regression:

# Importing Libraries
import numpy
import matplotlibas plt
Import pandas
# Importing data set
dataset=pandas.read_csv(‘salary_data.csv’) X=dataset.iloc[:,:-1].values Y=dataset.iloc[:,1].values
# Train Test Spilt
from sklearn.model_selectionimport train_test_split
xtrain,xtest,ytrain,ytest=
train_test_split(X,y,test_size=0.2,random_state=0)
# Linear Regression method
from sklearnimport linear_model
alg= linear_model.LinearRegression()
alg.fit(xtrain,ytrain)
# Predicting the test results
ypred=alg.predict(xtest)

Machine Learning Batch Shedule

Leave a Reply

Besant Technologies – Chennai & Bangalore Branch Locations

Besant Technologies - Velachery Branch
Plot No. 119, No.8, 11th Main road, Vijaya nagar,
Velachery, Chennai - 600 042
Tamil Nadu, India
Landmark - Reliance Digital Opposite Street
+91-996 252 8294 / 996 252 8293

Besant Technologies - Tambaram Branch
No.2A, 1st Floor, Duraisami Reddy Street,
West Tambaram, Chennai - 600 045
Tamil Nadu, India
Landmark - Near By Passport Seva
+91-996 250 4283

Besant Technologies - OMR Branch
No. 5/318, 2nd Floor, Sri Sowdeswari Nagar,
OMR, Okkiyam Thoraipakkam, Chennai - 600 097
Tamil Nadu, India
Landmark - Behind Okkiyampet Bus Stop,
+91-887 038 4333

Besant Technologies - Porur Branch
No. 180/84, 1st Floor, Karnataka Bank Building
Trunk Road, Porur,
Chennai - 600 116
Tamilnadu, India
Land Mark: Opposite to Gopalakrishna Theatre
+91-755 022 6990

Besant Technologies - Anna Nagar Branch
Plot No:1371, 28th street kambar colony,
I Block, Anna Nagar ,
Chennai - 600 040
Tamil Nadu, India
Landmark - Behind Reliance Fresh
+91-938 404 0493

Besant Technologies - T.Nagar Branch
Old No:146/2- New No: 48,
Habibullah Road,T.Nagar,
Chennai - 600 017
Tamil Nadu, India
Landmark - Opposite to SGS Sabha
+91-984 025 8377

Besant Technologies - Thiruvanmiyur Branch
22/67, 1st Floor,
North mada street, Kamaraj Nagar
Thiruvanmiyur, Chennai 600041
Tamil Nadu, India
Landmark - Above Thiruvanmiyur ICICI Bank
+91-938 404 0493

Besant Technologies - Siruseri Branch
No. 4/76, Ambedkar Street,
OMR Road, Egatoor, Navallur,
Siruseri, Chennai 600130
Tamil Nadu, India
Landmark - Near Navallur Toll Gate, Next to Yamaha Showroom
+91-7338 810 550

Besant Technologies - Maraimalai Nagar Branch
No.37, Ground Floor,
Thiruvalluvar Salai,
Maraimalai Nagar,Chennai 603209
Tamil Nadu, India
Landmark - Near to Maraimalai Nagar Arch
+91-979 123 7373

Besant Technologies - BTM Layout Branch
No 2, Ground floor,
29th Main Road, Kuvempu Nagar,BTM Layout 2nd Coming from Silkboard, take left at AXA company signal,
Stage, Bangalore - 560 076
Karnataka, India
Landmark - Next to OI Play School
+91-762 494 1772 / 74

Besant Technologies - Marathahalli Branch
No. 43/2, 2nd Floor, VMR Arcade,
Varthur Main Road, Silver Springs Layout,
Munnekollal, Marathahalli, Bengaluru - 560037
Karnataka, India
Landmark - Near Kundalahalli Gate Signal
+91-910 812 6341

Besant Technologies - Rajaji Nagar Branch
No. 309/43, JRS Ecstasy, First Floor,
59th Cross, 3rd Block, Bashyam Circle,
Rajaji Nagar, Bangalore - 560 010
Karnataka, India
Landmark - Near Bashyam Circle
+91- 734 916 0004

Besant Technologies - Jaya Nagar Branch
No. 2nd Floor,1575,11th Main Road,
4th T-Block, Pattabhirama Nagar, Jaya Nagar,
Bangalore-560041
karnataka, India
Land Mark: Opposite to Shanthi Nursing Home
+91-733 783 7626

Besant Technologies - Kalyan Nagar Branch
No.513, 4th Cross Rd
2nd Block, HRBR Layout, Kalyan Nagar,
Bangalore-560043
karnataka, India
Land Mark: Opposite to kalayan nagar Axis Bank
+91-938 404 0495

Besant Technologies - Electronic City Branch
No. 7, 3rd Floor, Ganga Enclave,
Neeladri Road, Karuna Nagar, Doddathoguru Village,
Electronics City Phase 1, Electronic City,
Bangalore - 560100, karnataka, India
Land Mark: Adjacent to HDFC Bank and State Bank Of India
+91-782 392 2180

Besant Technologies - Indira Nagar Branch
No.54, 1st Floor,
5th Main kodihalli,
Bengaluru, Karnataka 560008, India
Landmark: Behind Leela Palace Hotel,
+91-910 812 6339

Besant Technologies - HSR Layout Branch
Plot No. 2799 & 2800, 27th Main,
1st Sector, HSR Layout,
Bengaluru, Karnataka 560102, India
+91-733 783 7626

Besant Technologies - Hebbal Branch
No.29, 2nd Floor, SN Complex,
14th Main Road, E-Block Extention, Sahakara Nagar,
Bengaluru, Karnataka -560092, India
+91-733 783 7626