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晶😃Jing · 2022年07月03日

为什么k=3?

NO.PZ2015120204000019

问题如下:

Excess stock market returnt=a0+a1Default spreadt-1+a2Term spreadt-1+a3Pres party dummyt-1+et

Default spread is equal to the yield on Baa bonds minus the yield on Aaa bonds. Term spread is equal to the yield on a 10-year constant-maturity US Treasury index minus the yield on a 1-year constant-maturity US Treasury index. Pres party dummy is equal to 1 if the US President is a member of the Democratic Party and 0 if a member of the Republican Party.

The regression is estimated with 431 observations.

Exhibit 1.Multiple Regression Output

Exhibit 2. Table of the F-Distribution (Critical Values for Right-Hand Tail Area Equal to 0.05) Numerator: df1 and Denominator: df2

Is the regression model as a whole significant at the 0.05 level?

选项:

A.

No, because the calculated F-statistic is less than the critical value for F.

B.

Yes, because the calculated F-statistic is greater than the critical value for F.

C.

Yes, because the calculated χ2 statistic is greater than the critical value for χ2.

解释:

B is correct.

The F-test is used to determine if the regression model as a whole is significant.

F = Mean square regression (MSR) ÷ Mean squared error (MSE)

MSE = SSE/[n – (k + 1)] = 19,048 ÷ 427 = 44.60

MSR = SSR/k = 1071 ÷ 3 = 357

F = 357 ÷ 44.60 = 8.004

The critical value for degrees of freedom of 3 and 427 with α=0.05 (one-tail) is F = 2.63 from Exhibit 2. The calculated F is greater than the critical value, and Chiesa should reject the null hypothesis that all regression coefficients are equal to zero.

老师没有找到题目中k=3
1 个答案

星星_品职助教 · 2022年07月04日

同学你好,

k是多元回归中自变量.的数量,本题表格中一共给出了三个自变量X,所以k=3,如下。

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