Adewara, A. A.Job, O.Abidoye, A. O.Oyeyemi, G. M.Gali, M. O.Alabi, O. O.2023-07-192023-07-192008ICASTOR Journal of Mathematical Sciences0974 - 1958https://uilspace.unilorin.edu.ng/handle/20.500.12484/11584In this paper several authors have proposed ratio type estimator which utilized data from several auxiliary variates that involves the use of unknown weights which have to be estimated but Lynch proposed a multivariate regression estimator when there are two auxiliary variates (x-varaiates) which was found to be better and preferred, even to the conventional mean estimate. In this paper, we proposed multivariate regression estimators with k -parameters of order 1/n as used by Lynch. Two data sets called Populations 1 and 2 were used to justify this research work. While Population I is based on the total monthly income and total monthly expenditure on food, rent, clothing, transportation and miscellaneous of 86 occupants of Kubwa Federal Housing Authority, Phase lV Estate Abuja, Nigeria, Population 2 is based on the total monthly income and total monthly expenditure on food, rent, clothing, transportation and miscellaneous of 95 occupants of Gwarinpa II Estate, Abuja Nigeria and it was observed that as, K-parameters increases, our k multivariate regression estimate becomes smaller and better which makes the highest k -parameter multivariate regression estimator to be preferredenMultivariate, Regression, Estimator, Parameter, Order, Mean, VarianceArticle