What is a Multivariate Regression? Multivariate regression is a tool used by statisticians to express the relationship between a dependent variable (Yᵢ) and several independent variables (X₁ᵢ, X₂ᵢ, X₃ᵢ, …. Xₖᵢ). In general, multivariate regression models can be represented as: Yᵢ is called the regressand and Xᵢ‘s are called regressors…