For the Framingham data，the linear models may not fit it very well and the semi-parametric statistical models can be used to extract more accurate information. For the semi-parametric statistical modelssingle-index model and varying-coefficient single-index model，we use the local linear regression to estimate the link function and the estimating equation to estimate the index coefficient generally. On the basis of the theory，we fit the Framingham data and make analysis and comparison. The result shows that both single-index model and varying-coefficient single-index model can fit and explain the data very well. However，varying-coefficient single-index model considers more factors than the single-index model，so that the varying-coefficient single-index model can extract more information from the data and can more objectively explain the realistic significance of it.