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🍑🍑🍑🍑🍑🍑🍑 · 2019年11月07日

问一道题:NO.PZ2016062402000023

问题如下:

Which of the following statements about the linear regression of the return of a portfolio over the return of its benchmark presented below are correct?

I.  The correlation is 0.71.

II. About 34% of the variation in the portfolio return is explained by variation in the benchmark return.

III.       The portfolio is the dependent variable.

IV. For an estimated portfolio return of 12%, the confidence interval at 95% is (7.16%-16.84%).

选项:

A.

II and IV

B.

Ill and IV

C.

I, II, and III

D.

II,IIIand IV

解释:

The correlation is given by 0.66=0.81\sqrt{0.66}=0.81 so answer I is incorrect. Next,66% of the variation in Y is explained by the benchmark, so answer II. is incorrect. The portfolio return is indeed the dependent variable Y, so answer III. is correct. Finally, to find the 95 % two-tailed confidence interval, we use a from a normal distribution, which covers 95% within plus or minus 1.96, close to 2.00. The interval is theny2SD(e),  y+2SD(e)y-2SD{(e)},\;y+2SD{(e)}  or (7.16 -16.84). So answers III. and IV. are correct.

standard deviation of error 和standard error 是一样的东西吗?两个计算公式都分别是什么啊?谢谢

1 个答案

品职答疑小助手雍 · 2019年11月07日

同学你好,其实就是standard error,标准误。

公式我描述一下吧,就是各个实际值和估计值的差,的平方和,的均值,最后再开方。

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