# 基于多元线性回归的糖尿病治疗效果评价模型 Evaluation Model of Diabetes Therapeutic Effect Based on Multiple Linear Regression

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This paper studied the relationship between the readmission rate of diabetic patients and its related eigenvectors. The diagnostic model was made by ridge regression and linear fitting. The relationship between the readmission rate and its corresponding characteristic variables was obtained by stepwise regression. The analysis of model results shows that: the success rate of diabetes treatment in hospitals is 74.32%; insulin and metformin can be used to control diabetes in low and middle income groups; tolazamide can be used to control diabetes in high income groups. The treatment model of this problem is helpful to the rational treatment of diabetes mellitus patients.

1. 引言

2. 数据预处理

3. 模型建立

3.1. 评价指标体系

Table 1. Coefficient table

$Y=0.201+0.005{X}_{1}-0.012{X}_{2}+0.02{X}_{3}+0.078{X}_{4}+0.06{X}_{5}-0.002{X}_{6}+0.022{X}_{7}$

3.2. 逐步回归

$\begin{array}{l}y=0.139+0.072{x}_{1}+0.021{x}_{2}+0.069{x}_{3}+0.023{x}_{4}+0.016{x}_{5}-0.008{x}_{6}+0.005{x}_{7}-0.029{x}_{8}\\ +0.005{x}_{9}+0.046{x}_{10}-0.001{x}_{11}+0.136{x}_{12}+0.019{x}_{13}-0.014{x}_{14}-0.01{x}_{15}-0.247{x}_{16}\end{array}$

3.3. 治疗模型评价及建议

Table 2. The hospital readmission rate of randomized selection of patients

Table 3. Detailed prices list of drug

4. 结论

NOTES

*通讯作者。

1数据来源美国130家医院的糖尿病患者的治疗数据。

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