Slope Coefficient Calculator

Calculate Slope Coefficient



Formula

The formula to calculate the Slope Coefficient is:

\[ B1 = \frac{\sum{(x_i - \bar{x})(y_i - \bar{y})}}{\sum{(x_i - \bar{x})^2}} \]

Where:

What is a Slope Coefficient?

A slope coefficient is a key parameter in a regression analysis that represents the change in the dependent variable resulting from a one-unit change in the corresponding independent variable. It is the value that appears next to the independent variable in the equation of a regression line. The slope coefficient indicates the direction (positive or negative) and the strength of the relationship between the variables.

Example Calculation 1

Let's assume the following values:

Using the formula:

\[ B1 = \frac{\sum{(x_i - \bar{x})(y_i - \bar{y})}}{\sum{(x_i - \bar{x})^2}} = 0.6 \]

The Slope Coefficient is 0.6.

Example Calculation 2

Let's assume the following values:

Using the formula:

\[ B1 = \frac{\sum{(x_i - \bar{x})(y_i - \bar{y})}}{\sum{(x_i - \bar{x})^2}} = 0.55 \]

The Slope Coefficient is 0.55.