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This study evaluate the estimated parameters from fitted Beta-ARMA Model on average temperature in North west Nigeria from the years 1990 to 2017 using shift operator factor to combine the estimated parameters of the mixed model. It was observed that maximum temperature contribute to persistence in climate change (Figs. 1, 2) with high degree of randomness in all the 342 months observed. There is presence of serial correlation on average temperature from the year 1990 to 2017 due to variations associated to climatic variables. The relationship between past and current observations based on variability using determinant factor from AR(1) covariance and Equal correlation methods, it shows that the covariance of the two methods are significant but AR(1) is more precise than EC. A reduced form was used to determine the contribution of each estimated coefficients in model from linear combination using shift operator factor, there is an indication that maximum temperature contribute more to persistence in climate change in the region. [ABSTRACT FROM AUTHOR]