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梦梦 · 2024年06月23日

6.13计算出后如何查表

NO.PZ2023091601000122

问题如下:

A regression of a stock’s return (in percent) on an industry index’s return (in percent) provides the following results:

Coefficient Standard Error

Intercept 2.1 2.01

Industry index 1.9 0.31

Degrees of Freedom SS

Explained 1 92.648

Residual 3 24.512

Total 4 117.160

Which of the following statements regarding the regression is correct?

I.The correlation coefficient between the X and Y variables is 0.889.

II.The industry index coefficient is significant at the 99% confidence interval.

III.If the return on the industry index is 4%, the stock’s expected return is 10.3%.

IV.The variability of industry returns explains 21% of the variation of company returns

选项:

A.

III only

B.

I and II only

C.

II and IV only

D.

I, II, and IV

解释:

The R2 of the regression is calculated as ESS/TSS = (92.648/117.160) = 0.79, which means that the variation in industry returns explains 79% of the variation in the stock return. By taking the square root of R2, we can calculate that the correlation coefficient (r) = 0.889. The t-statistic for the industry return coefficient is 1.91/0.31 = 6.13, which is sufficiently large enough for the coefficient to be significant at the 99% confidence interval. Since we have the regression coefficient and intercept, we know that the regression equation is Rstock = l.9X + 2.1. Plugging in a value of 4% for the industry return, we get a stock return of 1.9 (4) + 2.1 = 9.7%.

第二个计算出6.13后如果查表是查T分布表吗?就是横列是a=1%,纵列自由度是1?

2 个答案
已采纳答案

品职答疑小助手雍 · 2024年06月29日

事件和显著只是结论描述时使用的表述词,你把它们当成定义来用说出来追问里的话很奇怪。

原假设H0:b=0, 拒绝原假设可以表述为b显著不等于0,也意味着b=0属于极小概率事件。

梦梦 · 2024年07月01日

好的,那我就按这个表述记忆。

品职答疑小助手雍 · 2024年06月24日

同学你好,t分布近似正态分布,所以99%的分位点怎么数都不太可能大于3的,所以这题算出来6.13之后就可以直接判定不显著等于0了。

梦梦 · 2024年06月26日

也就是检验统计量在右尾巴,拒绝原假设H0:b=0,对吧?所谓显著就是非小概率事件,接受H0,不显著就是小概率,接受H0?

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