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Abstract. Different families have different needs for tours. In order to solve the problem, this paper firstly creates a table which takes all determining varieties into consideration. By adopting principal component for analyzing and filtrating the main factors, the conclusion is as follow: the first principal component is time and the second one is cost; their factor contribution rate is respectively 58.95% and 38.93%. Moreover, the two weighted principal components can make the analysis process easier and reduce error rate. Secondly, in order to provide the best tour plan for different families, this paper selects eight tourist attractions in Xi’an and establishes the goal programming model which covers some factors, such as tour routes, costs and time. Finally, a multivariate linear regression equation is applied to test traveling plans and determine the best one.

Travel Plan Design Based on Graph Theory and Multiple Linear Regression Equation Model