Percentage of Variation in Regression Calculator

Explained Sum of Squares (ESS): Total Sum of Squares (TSS): Calculate Percentage of Variation:

 

Introduction

Calculating the Percentage of Variation in Regression is a crucial aspect of statistical analysis, helping researchers and analysts understand the extent of variability in a dataset. This article provides a simple yet effective HTML and JS code for a calculator designed to compute this percentage.

How to Use

1. Input the values of the explained sum of squares (ESS) and total sum of squares (TSS) in the designated fields.
2. Click the “Calculate” button to obtain the Percentage of Variation in Regression.

Formula

The Percentage of Variation in Regression is calculated using the formula:

Percentage of Variation=(ESSTSS)×100

Example

Suppose we have ESS = 1500 and TSS = 2000.

Percentage of Variation=(15002000)×100=75%

FAQs

Q: What is ESS?

A: ESS stands for Explained Sum of Squares, representing the sum of squared differences between the predicted values and the mean of the dependent variable.

Q: What is TSS?

A: TSS stands for Total Sum of Squares, representing the sum of squared differences between each data point and the mean of the dependent variable.

Q: Why is Percentage of Variation important in regression analysis?

A: The Percentage of Variation provides insights into the proportion of variability in the dependent variable that is explained by the independent variable, aiding in the assessment of model fit.

Conclusion

This calculator simplifies the computation of the Percentage of Variation in Regression, enhancing the efficiency of statistical analysis. Use it to gain valuable insights into the relationship between variables and assess the goodness of fit in regression models.