# Linear Least Squares Regression Line Equation Calculation

Calculates the Slope(m), Y - intercept and Least Square Regression Line Equation. Calculator allows any number of data sets and calculator will find the equation of the least regression line and correlation coefficient for entered X-axis and Y-axis values.

Enter number of data pairs | = |

Slope(m) | = |

Y - intercept | = |

Least Square Regression Line Equation Y | = |

The least squares linear regression is a method for predicting the value of a dependent variable Y, based on independent value of variable X. If X is an independent variable and Y is a dependent variable, then the population regression line is:

Y = Β

_{0}+ Β

_{1}X

The regression line passes through the mean of the X values (x) and through the mean of the Y values (y) and the regression constant (b

_{0}) is equal to the y intercept of the regression line. The slope of the regression line is the regression coefficient (b

_{1}) is the average change in the dependent variable (Y) for a one unit change in the independent variable (X) where b

_{0}is the constant in the regression equation, b

_{1}is the regression coefficient The least squares regression line for straight line, the line minimizes the sum of squared differences between observed values ( y values) and predicted values.