Combining with? the characteristics of the econometric analysis, this paper puts forward an analytical method based on the smoothness index of canonical correlation analysis and the economic data of the push-pull effect model. Hence, according to the empirical analysis on the transportation demands and the economic statistical data of Hebei province in 1990-2010, this paper not only presents the relationship between the development of national economy and transportation demands in Hebei but also set up a predictive model of the comprehensive passenger turnover. And the results indicate that as the growth of per capita income and GDP, the comprehensive passenger turnover and GDP show an trend of rapid increase. Clearly, Comprehensive passenger turnover growth rate is lower than the GDP growth rate,they are not in a linear relationship. Comprehensive passenger turnover and population growth show a trend of exponential increase. This paper puts forward that the comprehensive transportation investments should be moderate and keep balanced with the economic growth and should shift from the leapfrog style to the moderate style.