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小火儿 · 2023年01月17日

coefficient不应该是b0 b1 b2 这些吗，为啥用coefficient来当作x（mean）

  1. CFA II
  2. Quantitative

NO.PZ2015120204000014

问题如下：

Based on past research, Hansen selects the following independent variables to predict IPO initial returns:

Underwriter rank = 1–10, where 10 is highest rank

Pre-offer price adjustment (Expressed as a decimal) = (Offer price – Initial filing price)/Initial filing price

Offer size ($ millions) = Shares sold × Offer price

Fraction retained (Expressed as a decimal) = Fraction of total company shares retained by insiders

Hansen collects a sample of 1,725 recent IPOs for his regression model.

\Hansen’s Regression Results Dependent Variable: IPO Initial Return (Expressed in Decimal Form, i.e., 1% = 0.01)




The 95 percent confidence interval for the regression coefficient for the pre-offer price adjustment is closest to:

选项：

A.

0.156 to 0.714.

B.

0.395 to 0.475.

C.

0.402 to 0.468.

解释：

B is correct.

The 95% confidence interval is 0.435 ± (0.0202 × 1.96) = (0.395, 0.475).

coefficient不应该是b0 b1 b2 这些吗，为啥用coefficient来当作x（mean）

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1 个答案

星星_品职助教 · 2023年01月17日

同学你好，

本题要计算的是“The 95 percent confidence interval for the regression coefficient ....”，即计算是系数的置信区间，而不是sample mean的置信区间。

系数的置信区间公式形式和sample mean完全一样，只不过此时就围绕着系数自身展开了，不再围绕着sample mean了。

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