Regression Coefficient given Correlation Calculator

Math Chemistry Engineering Financial More >>

↳

Statistics Algebra Arithmetic Combinatorics More >>

⤿

Coefficients, Proportion and Regression Basic Formulas in Statistics Errors, Sum of Squares, Degrees of Freedom and Hypothesis Testing Frequency More >>

⤿

Regression Coefficients Proportion

✖Correlation between X and Y is the measure of the strength and direction of the linear relationship between two variables X and Y. It ranges from -1 to 1.ⓘ Correlation between X and Y [r]			+10% -10%
✖Standard Deviation of Y is the measure of the amount of variation or dispersion of values in the variable Y.ⓘ Standard Deviation of Y [σ_Y]			+10% -10%
✖Standard Deviation of X is the measure of the amount of variation or dispersion of values in the variable X.ⓘ Standard Deviation of X [σ_X]			+10% -10%

✖Regression Coefficient is the value that represents the change in the dependent variable Y for a unit change in the independent variable X.ⓘ Regression Coefficient given Correlation [b₁]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Coefficients, Proportion and Regression Formulas PDF PDF Image

Regression Coefficient given Correlation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Regression Coefficient = Correlation between X and Y*(Standard Deviation of Y/Standard Deviation of X)
b₁ = r*(σ_Y/σ_X)
This formula uses 4 Variables

Variables Used

Regression Coefficient - Regression Coefficient is the value that represents the change in the dependent variable Y for a unit change in the independent variable X.
Correlation between X and Y - Correlation between X and Y is the measure of the strength and direction of the linear relationship between two variables X and Y. It ranges from -1 to 1.
Standard Deviation of Y - Standard Deviation of Y is the measure of the amount of variation or dispersion of values in the variable Y.
Standard Deviation of X - Standard Deviation of X is the measure of the amount of variation or dispersion of values in the variable X.

STEP 1: Convert Input(s) to Base Unit

Correlation between X and Y: 2 --> No Conversion Required
Standard Deviation of Y: 150 --> No Conversion Required
Standard Deviation of X: 60 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b₁ = r*(σ_Y/σ_X) --> 2*(150/60)

Evaluating ... ...

b₁ = 5

STEP 3: Convert Result to Output's Unit

5 --> No Conversion Required

FINAL ANSWER

5 <-- Regression Coefficient

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Statistics » Coefficients, Proportion and Regression » Regression » Regression Coefficient given Correlation

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Regression Calculators

Simple Linear Regression Line

LaTeX Go Dependent Random Variable Y = Regression Constant+(Regression Coefficient*Independent Random Variable X)

Regression Coefficient given Correlation

LaTeX Go Regression Coefficient = Correlation between X and Y*(Standard Deviation of Y/Standard Deviation of X)

Regression Coefficient

LaTeX Go Regression Coefficient = (Mean of Y-Regression Constant)/Mean of X

Regression Constant

LaTeX Go Regression Constant = Mean of Y-(Regression Coefficient*Mean of X)

Regression Coefficient given Correlation Formula

LaTeX Go

Regression Coefficient = Correlation between X and Y*(Standard Deviation of Y/Standard Deviation of X)
b₁ = r*(σ_Y/σ_X)

What is Linear Regression?

Linear Regression is a statistical method used to model the relationship between a dependent variable (also known as the response variable) and one or more independent variables (also known as predictor variables). The goal of Linear Regression is to find the best-fitting line through a set of data points, which can then be used to make predictions about the response variable for different values of the predictor variables.
Linear Regression models are represented by the equation y = mx + b, where y is the response variable, x is the predictor variable, m is the slope of the line, and b is the y-intercept. Simple Linear Regression is used to model the relationship between one predictor variable and one response variable.
Linear Regression is a widely used statistical technique and is often used in fields such as economics, engineering, and the natural sciences.

How to Calculate Regression Coefficient given Correlation?

Regression Coefficient given Correlation calculator uses Regression Coefficient = Correlation between X and Y*(Standard Deviation of Y/Standard Deviation of X) to calculate the Regression Coefficient, Regression Coefficient given Correlation formula is defined as the value that represents the change in the dependent variable Y for a unit change in the independent variable X, and calculated using the correlation between X and Y. Regression Coefficient is denoted by b₁ symbol.

How to calculate Regression Coefficient given Correlation using this online calculator? To use this online calculator for Regression Coefficient given Correlation, enter Correlation between X and Y (r), Standard Deviation of Y (σ_Y) & Standard Deviation of X (σ_X) and hit the calculate button. Here is how the Regression Coefficient given Correlation calculation can be explained with given input values -> 0.2 = 2*(150/60).

FAQ

What is Regression Coefficient given Correlation?

Regression Coefficient given Correlation formula is defined as the value that represents the change in the dependent variable Y for a unit change in the independent variable X, and calculated using the correlation between X and Y and is represented as b₁ = r*(σ_Y/σ_X) or Regression Coefficient = Correlation between X and Y*(Standard Deviation of Y/Standard Deviation of X). Correlation between X and Y is the measure of the strength and direction of the linear relationship between two variables X and Y. It ranges from -1 to 1, Standard Deviation of Y is the measure of the amount of variation or dispersion of values in the variable Y & Standard Deviation of X is the measure of the amount of variation or dispersion of values in the variable X.

How to calculate Regression Coefficient given Correlation?

Regression Coefficient given Correlation formula is defined as the value that represents the change in the dependent variable Y for a unit change in the independent variable X, and calculated using the correlation between X and Y is calculated using Regression Coefficient = Correlation between X and Y*(Standard Deviation of Y/Standard Deviation of X). To calculate Regression Coefficient given Correlation, you need Correlation between X and Y (r), Standard Deviation of Y (σ_Y) & Standard Deviation of X (σ_X). With our tool, you need to enter the respective value for Correlation between X and Y, Standard Deviation of Y & Standard Deviation of X and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Regression Coefficient?

In this formula, Regression Coefficient uses Correlation between X and Y, Standard Deviation of Y & Standard Deviation of X. We can use 1 other way(s) to calculate the same, which is/are as follows -

Regression Coefficient = (Mean of Y-Regression Constant)/Mean of X

Home

FREE PDFs

🔍 Search