This research aims to provide insight into the Spatial Autoregressive Quantile Regression model (SARQR), which is more general than the Spatial Autoregressive model (SAR) and Quantile Regression model (QR) by integrating aspects of both. Since Bayesian approaches may produce reliable estimates of parameter and overcome the problems that standard estimating techniques, hence, in this model (SARQR), they were used to estimate the parameters. Bayesian inference was carried out using Markov Chain Monte Carlo (MCMC) techniques. Several criteria were used in comparison, such as root mean squared error (RMSE), mean absolute percentage error (MAPE), and coefficient of determination (R^2). The application was devoted on dataset of poverty rates across districts in Iraq. Considering poverty rate as the dependent variable with eight explanatory variables. The analysis confirmed spatial dependence among regions, as indicated by the estimated values of the spatial correlation parameter (ρ) across different scenarios. It made clear that poverty rates are heavily influenced by spatial dependence and that failing to consider this could result in the loss of important information regarding the phenomenon and eventually impair the accuracy of statistical index estimation. This enhancement offers suggestions for methods of reducing poverty.