The linear regression calculator generates the linear regression equation, draws a linear regression line, a histogram, a residuals QQ-plot, a residuals x-plot, and a distribution chart.

It calculates the R square, the R, and the outliers, then it tests the fit of the linear model to the data and checks the residuals' normality assumption and the priori power.

Ŷ = b_{0} +b_{1}X

bb

b_{1} = | SP_{xy} | = | Σ(x_{i}-x̄)(y_{i}-ȳ) |

SS_{x} | Σ(x_{i}-x̄)^{2} |

The **right-tailed** F test checks if the entire regression model is statistically significant. Why only right tail?

For **Multiple regression calculator** with stepwise method and more validations: **multiple regression calculator**

Hypotheses

H_{0}: Y = b_{0}

H_{1}: Y = b_{0}+b_{1}X

Test statistic

F = | MS(regression) |

MS (residulas) |

F distribution