**Regression analysis** is a statistical technique used to estimate the relationships among variables.
- **回归分析**是一种统计技术,用于估计变量之间的关系。
In our study, we employed linear
regression to model the relationship between income and education level.
在我们的研究中,我们采用了线性回归来模型化收入与教育水平之间的关系。
The scatter plot suggests a strong positive correlation, warranting further investigation with
regression methods.
散点图显示了强烈的正相关,这需要我们进一步使用回归方法进行研究。
Logistic
regression is often used in predicting the probability of a binary outcome, such as whether a customer will buy a product or not.
逻辑回归常用于预测二元结果的概率,比如客户是否会购买某个产品。
Multiple
regression allows us to understand how multiple independent variables simultaneously affect a dependent variable.
多元回归使我们能够理解多个自变量如何同时影响一个因变量。
By introducing polynomial terms, we can use quadratic
regression to capture non-linear relationships in the data.
通过引入多项式项,我们可以使用二次回归来捕捉数据中的非线性关系。
Ridge
regression is a regularization technique that helps prevent overfitting by adding a penalty term to the cost function.
岭回归是一种正则化技术,通过在成本函数中添加惩罚项来帮助防止过拟合。
Lasso
regression has the ability to perform variable selection by shrinking some of the coefficients to zero.
- Lasso回归具有通过将某些系数压缩至零来进行变量选择的能力。
Elastic Net
regression is a combination of ridge and lasso
regression, providing both shrinkage and variable selection.
弹性网络回归是岭回归和Lasso回归的结合,既提供了收缩也进行了变量选择。
The coefficient of determination (R-squared) in
regression analysis indicates the proportion of the variance in the dependent variable that can be explained by the independent variables.
回归分析中的决定系数(R平方)表示因变量变异中能被自变量解释的比例。
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