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Regression Constant Formula

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Regression Constant is the intercept of the regression line on the Y-axis. It represents the expected value of Y when X is 0. Check FAQs

b 0 = ȳ - (b 1 \cdot x̅)

b₀ - Regression Constant?ȳ - Mean of Y?b₁ - Regression Coefficient?x̅ - Mean of X?

Regression Constant Example

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With units

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Here is how the Regression Constant equation looks like with Values.

Here is how the Regression Constant equation looks like with Units.

Here is how the Regression Constant equation looks like.

50 = 200 - (5 \cdot 30)

50 = 200 - (5 \cdot 30)

50 = 200 - (5 \cdot 30)

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Regression Constant Solution

Follow our step by step solution on how to calculate Regression Constant?

FIRST Step Consider the formula

b 0 = ȳ - (b 1 \cdot x̅)

Next Step Substitute values of Variables

∴

b 0 = 200 - (5 \cdot 30)

Next Step Prepare to Evaluate

∴

b 0 = 200 - (5 \cdot 30)

LAST Step Evaluate

∴

b 0 = 50

Regression Constant Formula Elements

Variables

Regression Constant

Regression Constant is the intercept of the regression line on the Y-axis. It represents the expected value of Y when X is 0.

Symbol: b₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Regression Constant

Mean of Y

Mean of Y is the average value of all the data points in the variable Y.

Symbol: ȳ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of Y

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.

Symbol: b₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Regression Coefficient

Mean of X

Mean of X is the average value of all the data points in the variable X.

Symbol: x̅

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of X

Other formulas in Regression category

Go Regression Coefficient given Correlation

b 1 = r \cdot (\frac{σ Y}{σ X})

Go Regression Coefficient

b 1 = \frac{ȳ - b 0}{x̅}

Go Simple Linear Regression Line

Y = b 0 + (b 1 \cdot X)

How to Evaluate Regression Constant?

Regression Constant evaluator uses Regression Constant = Mean of Y-(Regression Coefficient*Mean of X) to evaluate the Regression Constant, Regression Constant formula is defined as the intercept of the regression line on the Y-axis. It represents the expected value of Y when X is 0. Regression Constant is denoted by b₀ symbol.

How to evaluate Regression Constant using this online evaluator? To use this online evaluator for Regression Constant, enter Mean of Y (ȳ), Regression Coefficient (b₁) & Mean of X (x̅) and hit the calculate button.

FAQs on Regression Constant

What is the formula to find Regression Constant?

The formula of Regression Constant is expressed as Regression Constant = Mean of Y-(Regression Coefficient*Mean of X). Here is an example- 50 = 200-(5*30).

How to calculate Regression Constant?

With Mean of Y (ȳ), Regression Coefficient (b₁) & Mean of X (x̅) we can find Regression Constant using the formula - Regression Constant = Mean of Y-(Regression Coefficient*Mean of X).

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Regression Constant Formula

Regression Constant Example

Regression Constant Solution

Regression Constant Formula Elements

Other formulas in Regression category

How to Evaluate Regression Constant?

FAQs on Regression Constant

Variable Name