With the development of sports spirit, the proportion of total output value of sports industry in economic growth is increasing day by day, which has become an important factor for the long-term stable medium and high growth of economy in the new normal period. In view of the background of sports economic growth, this paper adopts the data of sports product marketing and selects sports goods sales and GDP as indicators. Through the combination of consumption mode and sports industry, we trace the consumption mode of sports consumers, put forward the segmentation and positioning of sports product consumption market, and establish the dynamic quantitative system of sports economy combined with the random matrix. The dynamic influence mechanism of sports product marketing on economic growth is studied. The results show that all of them are stationary sequences after first-order difference in econometric analysis, and the values of test results are all less than 1. The effect of the model is good, the contribution of sports product sales to economic growth reaches the maximum, and the contribution to economic growth tends to be basically stable.
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