R^2的意思、翻譯和例句

是什麼意思

R^2(R平方)是一個統計學指標,用於衡量回歸模型的擬合度。它表示自變量對因變量變異的解釋比例,值範圍在0到1之間。R^2越接近1,表示模型對數據的解釋能力越強,反之則表示解釋能力較弱。

依照不同程度的英文解釋

  1. A number that shows how well a model fits data.
  2. A measure of how much of the data can be explained.
  3. A value that indicates the accuracy of predictions.
  4. A statistic that reflects the strength of the relationship.
  5. A figure that tells how much variance is explained by the model.
  6. A coefficient that quantifies the proportion of variance accounted for.
  7. A key metric in regression analysis indicating model performance.
  8. A statistical measure that assesses the goodness of fit.
  9. A critical indicator in regression analysis representing explained variance.
  10. A dimensionless number that expresses the proportion of variance explained by a model.

相關英文單字或片語的差別與用法

1:Coefficient of Determination

用法:

是R^2的正式名稱,通常在統計學中用來描述模型的解釋能力。它反映了自變量對因變量的影響程度,並且在回歸分析中非常重要。

例句及翻譯:

例句 1:

這個模型的決定係數非常高,顯示出良好的擬合度。

The coefficient of determination for this model is very high, indicating a good fit.

例句 2:

分析報告中包含了每個模型的決定係數。

The analysis report includes the coefficient of determination for each model.

例句 3:

高決定係數通常意味著模型的預測能力較強。

A high coefficient of determination usually means the model has strong predictive power.

2:Goodness of Fit

用法:

用來描述模型與觀察數據之間的適合程度。通常在模型評估中使用,幫助研究者了解模型的有效性。

例句及翻譯:

例句 1:

我們使用多種指標來評估模型的擬合優度。

We used several metrics to assess the goodness of fit of the model.

例句 2:

擬合優度不佳可能意味著模型需要調整。

A poor goodness of fit may indicate that the model needs adjustment.

例句 3:

這個模型的擬合優度非常好,能夠準確預測結果。

The goodness of fit for this model is excellent, accurately predicting outcomes.

3:Variance Explained

用法:

指模型解釋的變異比例,與R^2密切相關。它幫助研究者理解自變量對因變量的影響程度。

例句及翻譯:

例句 1:

這個模型解釋了大約80%的變異。

This model explains about 80% of the variance.

例句 2:

變異解釋的比例越高,模型的預測能力越強。

The higher the variance explained, the stronger the predictive capability of the model.

例句 3:

在這個研究中,變異解釋顯示了自變量的重要性。

In this study, the variance explained highlighted the importance of the independent variables.