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ruby5ltc · 2023年01月23日

请问0.117和谁对比?

* 问题详情,请 查看题干

NO.PZ201709270100000305

问题如下:

5. Based on Exhibit 2, Quinni’s best answer to Varden’s question about the effect of adding a third independent variable is:

选项:

A.

no for R2 and no for adjusted R2.

B.

yes for R2 and no for adjusted R2.

C.

yes for R2 and yes for adjusted R2.

解释:

B is correct. When you add an additional independent variable to the regression model, the amount of unexplained variance will decrease, provided the new variable explains any of the previously unexplained variation. This result occurs as long as the new variable is even slightly correlated with the dependent variable. Exhibit 2 indicates the dividend growth rate is correlated with the dependent variable, ROE. Therefore, R2 will increase.

Adjusted R2, however, may not increase and may even decrease if the relationship is weak. This result occurs because in the formula for adjusted R2, the new variable increases k (the number of independent variables) in the denominator, and the increase in R2 may be insufficient to increase the value of the formula.

textadjustedR2=1(n1nk1)(1R2text{adjusted R}^\text{2}=1-(\frac{n-1}{n-k-1})(1-R^2

请问0.117和谁对比?

2 个答案

星星_品职助教 · 2023年01月31日

​@ruby5ltc 只有当新加入变量对于方程有很强贡献时(也就是对Y变量有很强解释力度时),adjusted R-squared才会上升。 本题新加入变量和Y的相关系数非常小,几乎不相关,所以对Y的解释力度很低。这个背景下,adjusted R-squared更可能下降。

星星_品职助教 · 2023年01月27日

同学你好,

和0对比,correlation=0表示没有相关关系。

一般认为0.7以上是强相关关系。

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