Enter the slope, intercept, and X value into the calculator to determine the predicted Y value based on the regression equation. This calculator helps in forecasting and analyzing data trends.
Regression Output Formula
The following formula is used to calculate the predicted Y value based on the regression equation.
Y = β1 * X + β0
Variables:
- Y is the predicted Y value based on the regression equation
- β1 is the slope of the regression line
- β0 is the intercept of the regression line
- X is the independent variable value
To calculate the predicted Y value, multiply the slope (β1) by the X value and then add the intercept (β0).
What is Regression Analysis?
Regression analysis is a statistical method used for estimating the relationships among variables. It allows for the prediction of a dependent variable based on the value(s) of one or more independent variables. The simplest form of regression, linear regression, uses a straight line to model the relationship between the variables.
How to Calculate Regression Output?
The following steps outline how to calculate the predicted Y value using the regression equation.
- First, determine the slope of the regression line (β1).
- Next, determine the intercept of the regression line (β0).
- Then, input the X value for which you want to predict the Y value.
- Use the regression output formula: Y = β1 * X + β0.
- Finally, calculate the predicted Y value.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Slope (β1) = 2.5
Intercept (β0) = 0.5
X Value = 10
Insert the values into the formula to calculate the predicted Y value.
