As a sunrise industry, tourism has achieved rapid development in the world, and China is quietly moving towards a tourist destination. The tourism development potential of China in the 2nd/Kloc-0th century lies in the west, and it is located in Gansu Province. The western region is rich in tourism resources and various folk customs. For the correlation among the five influencing factors of tourism foreign exchange income, the influence of the correlation between variables can be overcome by extracting the principal component; Under the principle of ensuring the minimum loss of data information, high-dimensional variables reduce the dimension of space, and replace the information contained in the original index with a small number of comprehensive indexes, which simplifies the calculation process.

As a sunrise industry in the world, tourism is developing rapidly, and China is quietly moving towards a big tourist country. The western region is the sequela of China's tourism development in the 2nd/Kloc-0th century, while Gansu Province in the west is rich in tourism resources and diverse in folk customs. There is a correlation among the five factors that affect the foreign exchange income of tourism, and the correlation between variables can be overcome by extracting principal components. Under the principle of minimizing the loss of data information, the dimension of high-dimensional variable space is reduced, and a small number of comprehensive indicators are used to replace the information contained in the original indicators, which simplifies the calculation process.