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Andy · 2022年08月09日

样本方差的分母应为59,总体方差的分母是60,故最后SSR/SST是否应为60.38/132.08再乘以59/60。

NO.PZ2021071601000008

问题如下:

John, an analyst ran a simple regression explaining the variation in electricity consumption as a function of temperature. The total variation of the dependent variable was 132.08, and the explained variation was 60.38. She had 60 monthly observations.

Calculate the coefficient of determination.

选项:

A.0.4571 B.2.19 C.0.21

解释:

The coefficient of determination is 0.4571:

ExplainvariationTotalvariation=60.38132.08=0.4571\frac{{{\rm{Explain variation}}}}{{{\rm{Total variation}}}} = \frac{{60.38}}{{132.08}} = 0.4571

样本方差的分母应为59,总体方差的分母是60,故最后SSR/SST是否应为60.38/132.08再乘以59/60。

1 个答案

星星_品职助教 · 2022年08月09日

同学你好,

coefficient of determination的公式为SSR/SST。其中SSR就是题干中的“the explained variation”,即60.38;SST就是题干中的“The total variation of the dependent variable”,即132.08.

直接代入数字相除就可以,不需要再额外除以自由度了。

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NO.PZ2021071601000008 问题如下 John, analyst ra simple regression explaining the variation in electricity consumption a function of temperature. The totvariation of the pennt variable w132.08, anthe explainevariation w60.38. She h60 monthly observations. Calculate the coefficient of termination. A.0.4571 B.2.19 C.0.21 The coefficient of termination is 0.4571:ExplainvariationTotalvariation=60.38132.08=0.4571\frac{{{\rm{Explain variation}}}}{{{\rm{Totvariation}}}} = \frac{{60.38}}{{132.08}} = 0.4571TotalvariationExplainvariation​=132.0860.38​=0.4571 到底是 ssr sst还是rss tss 啊 我看视频里说的是ssr sst 但是框架图里写的是 rss tss

2022-08-28 22:57 1 · 回答

NO.PZ2021071601000008 问题如下 John, analyst ra simple regression explaining the variation in electricity consumption a function of temperature. The totvariation of the pennt variable w132.08, anthe explainevariation w60.38. She h60 monthly observations. Calculate the coefficient of termination. A.0.4571 B.2.19 C.0.21 The coefficient of termination is 0.4571:ExplainvariationTotalvariation=60.38132.08=0.4571\frac{{{\rm{Explain variation}}}}{{{\rm{Totvariation}}}} = \frac{{60.38}}{{132.08}} = 0.4571TotalvariationExplainvariation​=132.0860.38​=0.4571 R²=SSR/SST,怎么看出来题干给的条件描述的就是SSR和SST?

2022-06-29 11:36 1 · 回答

NO.PZ2021071601000008请问老师,这个表达在视频哪里,我并没有第一反应出explainevariation 在这里就是SSR

2021-12-21 03:38 1 · 回答