+13236381128
+15199002991
+61480040096
Book a Demo
en_US English
en_US English
+13236381128
+15199002991
+61480040096
en_US English
Regression Equation Calculator Regression Equation

Regression Equation Calculator

SHARE THE ARTICLE ON

Table of Contents

What is a Regression Equation?

In statistics, the regression equation is used to find out the extent of the relationship between sets of data. It models the linear relationships and trends between variables, allowing us to explain or predict certain outcomes. 

A regression line refers to the line of best fit for your data. It almost represents an average of where all your data points line up. In linear regression, the regression line is straight. In non-linear regression, the line is curved. Non-linear and linear data require different methods to model their relationship. Within this article, we will specifically explore linear regression and go over the steps required to arrive at a regression equation by hand. We will also explore the strengths and benefits of modelling the relationship between variables using regression analysis. 

Transform your insight generation process

Create an actionable feedback collection process.

Download Now
online survey
Read More

Finding the Linear Regression Equation

Now that we’ve understood what the regression equation is, let’s take a look at the steps we can use to arrive at a regression equation by hand.

The regression equation takes the following form: 

Regression Equation Calculator Regression Equation

Where, 

Y = the dependent variable(s) 

X = the independent variable

b = the slope of the line

a = the y-intercept

Use the following steps to arrive at your regression equation: 

  • Step 1: Make a Chart of your Data

The first step is to create a chart of your data. Arrange your data in a table, clearly outlining each variable separately. 

  • Step 2: Calculate ‘a’

The next step is to use the following equation to calculate your ‘a’ value, also known as the y-intercept. 

  • Step 3: Calculate ‘b’

Use the following equation to calculate your ‘b’ value, also known as the slope of the line. 

Regression Equation Calculator Regression Equation
  • Step 4: Insert ‘a’ and ‘b’ into your Equation

Once you’ve found your ‘a’ and ‘b’ values, simply insert them into your equation (Y=a + bX) to arrive at your linear regression equation. 

Start collecting insights at scale!

The Strengths of the Regression Equation

The following are a few strengths of regression analysis: 

  1. Explains the Relationship between Variables: The regression equation provides an understanding of the functional relationship between two or more variables. This allows us to approximate or predict unknown values of one variable using the known values of the other. 
  2. Is a Tool for the Measurement and Estimation of the Relationship between Economic Variables: The regression equation is widely used in the study of economics to estimate key economic concepts such as demand and supply, production functions, and cost functions. 
  3. Calculates Coefficient of Correlation (r): When we conduct a regression analysis, we are able to calculate a measure of the coefficient of correlation between the two variables. We can do so by multiplying the two regression coefficients and then taking the square root of the outcome. (r =  √(b×y. byx)
Uncover high quality insights with Voxco

Download Market Research Toolkit

Get market research trends guide, Online Surveys guide, Agile Market Research Guide & 5 Market research Template

Download Now
Making the most of your B2B market research in 2021 PDF 3 s 1.png

The Limitations of the Regression Equation

The following are a few limitations of regression analysis: 

  1. Lack of Data to Support your Hypothesis: Regression analysis involves arriving at completely new equations, hence, there is likely no data in the existing literature that supports your hypothesis.
  2. Potential Lack of Experimental Methods: Certain equations may not have experimental methods due to lack of access to their system. This makes it harder to identify and measure variables. 
  3. Low External Validity: Empirical models are hard to generalize due to which certain models will only belong to the unique systems in which their experiments were conducted. These models will have low external validity. 
  4. Inadequate Data: Although regression analysis is a great tool for data exploration, it rarely provides information regarding units or dimensions. 

See Voxco survey software in action with a Free demo.

Book a Free Demo

FAQs on Regression Equation Calculator

A regression equation is used in statistics to reveal the degree of relation between sets of data. The equation can be used to model the relationship between the variables, allowing us to predict or explain the outcomes. 

A regression line can be described as “the line of best fit” for a set of data. It represents an average of where all your data points line up.

A few limitations of regression analysis are;

  • Lack of experimental methods to execute empirical models
  • Low external validity
  • Inadequate data in regard to units and dimensions

Explore all the survey question types
possible on Voxco

Try a Sample Survey

Explore Voxco Survey Software

Online page new product image3 02.png 1

+ Omnichannel Survey Software 

+ Online Survey Software 

+ CATI Survey Software 

+ IVR Survey Software 

+ Market Research Tool

+ Customer Experience Tool 

+ Product Experience Software 

+ Enterprise Survey Software 

Get a Free Demo

Read more