Modelling Multiple Linear Regression Using R (research-oriented modelling

Modelling Multiple Linear Regression Using R (research-oriented modelling

Learn how to train an MLR model, interpret its coefficients and perform a stepwise regression. The aim of this article to illustrate how to fit a multiple linear regression model in the R statistical programming language and interpret the coefficients.

Article Outline

  • Dataset description
  • Exploratory data analysis
  • A simple linear regression model fitting
  • Model interpretation
  • MLR regression model fitting and interpretation
  • Hypothesis testing
  • Stepwise regression

Aim

The aim of this article to illustrate how to fit a multiple linear regression model in the R statistical programming language and interpret the coefficients. Here, we are going to use the Salary dataset for demonstration.

Dataset Description

The 2008–09 nine-month academic salary for Assistant Professors, Associate Professors and Professors in a college in the U.S. The data were collected as part of the on-going effort of the college’s administration to monitor salary differences between male and female faculty members [1].

The data frame includes 397 observations and 6 variables.

rank (I1): a factor with levels AssocProf, AsstProf, Prof

discipline (I2): a factor with levels A (“theoretical” departments) or B (“applied” departments).

yrs.since.phd (I3): years since PhD.

yrs.service (I4): years of service.

sex (I5): a factor with levels Female and Male

salary (D): nine-month salary, in dollars.

Where** I: Independent variable; **D: Dependent/Outcome variable

Load Libraries

The first step is to start installing and loading R libraries

## use install.packages( ) function for installation

library(tidyverse)  ## data loading, manipulation and plotting
library(carData)    ## Salary dataset
library(broom)      ## tidy model output

Print dataset details

Let’s print different inbuilt datasets offered by the carData package.

data(package = "carData")

Image for post

machine-learning coefficient stepwise interpretation regression

Bootstrap 5 Complete Course with Examples

Bootstrap 5 Tutorial - Bootstrap 5 Crash Course for Beginners

Nest.JS Tutorial for Beginners

Hello Vue 3: A First Look at Vue 3 and the Composition API

Building a simple Applications with Vue 3

Deno Crash Course: Explore Deno and Create a full REST API with Deno

How to Build a Real-time Chat App with Deno and WebSockets

Convert HTML to Markdown Online

HTML entity encoder decoder Online

Hire Machine Learning Developers in India

We supply you with world class machine learning experts / ML Developers with years of domain experience who can add more value to your business.

Applications of machine learning in different industry domains

We supply you with world class machine learning experts / ML Developers with years of domain experience who can add more value to your business.

Hire Machine Learning Developer | Hire ML Experts in India

We supply you with world class machine learning experts / ML Developers with years of domain experience who can add more value to your business.

What is Supervised Machine Learning

What is neuron analysis of a machine? Learn machine learning by designing Robotics algorithm. Click here for best machine learning course models with AI

Pros and Cons of Machine Learning Language

AI, Machine learning, as its title defines, is involved as a process to make the machine operate a task automatically to know more join CETPA