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華工2023計(jì)量期末試題

2023-07-03 18:34 作者:Chenxvxv-  | 我要投稿

兒子們千呼萬喚,今天就更新計(jì)量期末試題吧!

記得點(diǎn)贊投幣!為了觀感好點(diǎn),公式都是一個(gè)一個(gè)導(dǎo)入的/(ㄒoㄒ)/~~? ? ? ? ? ? ? ? ? ??? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? A卷

I.Single choice Questions

  1. The cross-sectional data is (? ? ?)

    A.Different units at a given point in time

    B.Different units in different time

    C.The same unit in different time

    D.The same units at a given point in time

  2. For the model y_%7Bi%7D%20=%5Cbeta_%7B1%7D%20x_%7B1i%7D%20+%5Cbeta_%7B0%7D%20+u_%7Bi%7D%20,the ordinary least squares means(? ? ? ?)

    A.min%5Csum_%7B1%7D%5EN(y_%7Bi%7D-%20%5Cbar%7By%7D%20)%C2%B2

    B.min%5Csum_%7B1%7D%5EN(%7B%5Chat%7By%7D%20%7D%20_%7Bi%7D-%20%5Cbar%7By%7D%20)%C2%B2

    C.min%5Csum_%7B1%7D%5EN(%7B%7By%7D%20%7D%20_%7Bi%7D-%20%5Chat%7By%7D_%7Bi%7D%20)%C2%B2

    D.min%5Csum_%7B1%7D%5EN(%7B%7By%7D%20%7D%20_%7Bi%7D-%20u_%7Bi%7D%20)%C2%B2

  3. For the model?y_%7Bi%7D%20=%5Cbeta_%7B0%7D%20+%5Cbeta_%7B1%7Dx_%7B1i%7D%20%20+%5Cbeta_%7B2%7Dx_%7B2i%7D%20%20+%5Cbeta_%7B3%7Dx_%7B3i%7D%20%20+u_%7Bi%7D%20,if?x_%7B1i%7D%20=2x_%7B2i%7D%20+3x_%7B3i%7D%20?(? ? ? ? ?)

    A.The model satisfies classcial assumption

    B.The model suffers from perfect collinearity

    C.x_%7B2i%7D%20?is correlated with?x_%7B3i%7D%20

    D.x_%7B1i%7D%20?is correlated with?u_%7Bi%7D%20

  4. For the model?y_%7Bi%7D%20=%5Cbeta_%7B0%7D%20+%5Cbeta_%7B1%7Dx_%7B1i%7D%20%20+%5Cbeta_%7B2%7Dx_%7B2i%7D%20%20+%5Cbeta_%7B3%7Dx_%7B3i%7D%20%20+u_%7Bi%7D%20,we want to verify whether?%5Cbeta_%7B1%7D%20?is equal to?%5Cbeta_%7B2%7D,the test statistic is (? ? ? ? ?)

    A.The DW statistic

    B.The F statistic

    C.The LM statistic

    D.The t statistic

  5. If?%5Chat%7B%5Ctheta%20%7D%20?is a consistent estimator of?%5Ctheta%20?,it implies that (? ? ? ? )

    A.%5Clim_%7Bn%5Cto%E2%88%9E%7D%20Pr(%7C%5Chat%5Ctheta-%5Ctheta%7C%EF%BC%9E%5Cvarepsilon%20)%3D1?for every?%5Cvarepsilon%20

    B.%5Clim_%7Bn%5Cto%E2%88%9E%7D%20Pr(%7C%5Chat%5Ctheta-%5Ctheta%7C%EF%BC%9C%5Cvarepsilon%20)%3D1?for every %5Cvarepsilon%20

    C.%5Clim_%7Bn%5Cto%E2%88%9E%7D%20Pr(%7C%5Chat%5Ctheta-%5Ctheta%7C%EF%BC%9E%5Cvarepsilon%20)%3D0?for every %5Cvarepsilon%20

    D.%5Clim_%7Bn%5Cto%E2%88%9E%7D%20Pr(%7C%5Chat%5Ctheta-%5Ctheta%7C%EF%BC%9C%5Cvarepsilon%20)%3D0?for every?%5Cvarepsilon%20

  6. Which of the following statement about Beta coefficient is not right (? ? ? ? )

    A.The Beta coefficient is obtained by replace?y?and each?x?with a standardized version

    B.The Beta coefficient reflects the effect on standard deviation of y?for a one standard deviation change in?x

    C.The Beta coefficient can not be estimated by OLS

    D.The Beta coefficient can eliminate the impact of data scaling on estimators

  7. If?x?is categoricd?independent variable and can be divided into 4 groups how many dummy variables should be introduced into a model without intercept (? ? ? ? )

    A.1

    B.2

    C.5

    D.4

  8. In the time series regression?y_%7Bt%7D%20=%5Cbeta_%7B0%7D%20+%5Cbeta_%7B1%7Dx_%7B1t%7D%20%20+%5Cbeta_%7B2%7Dx_%7B2t%7D%20%20+u_%7Bt%7D%20,serial correlation implies that(?)

    A.The usual OLS standard errors are invalid

    B.Corr(u_%7Bt%7D%20,u_%7Bs%7D%20)=0 ( t≠s )

    C.OLS is BLUE

    D.The estimator of?%5Cbeta_%7B1%7D?is no longer consistent.

  9. For the finite distributed lag model?

    y_%7Bt%7D%20=%5Calpha%20_%7B0%7D%20+%20%5Cdelta%20%C2%B7z_%7Bt%7D%2B%20%5Cdelta_%7B1%7D%20%C2%B7z_%7Bt-1%7D%2B%20%5Cdelta_%7B2%7D%20%C2%B7z_%7Bt-2%7D%2B%20%5Cdelta_%7B3%7D%20%C2%B7z_%7Bt-3%7D%2Bu_%7Bt%7D.If z permanent increase on unit at time t,the long-run propensity is (? ? ? )

    A.%5Chat%5Cdelta%20_%7B3%7D

    B.%5Chat%5Cdelta%20_%7B0%7D%2B%5Chat%5Cdelta%20_%7B1%7D%2B%5Chat%5Cdelta%20_%7B2%7D%2B%5Chat%5Cdelta%20_%7B3%7D

    C.%5Chat%5Cdelta%20_%7B1%7D%2B%5Chat%5Cdelta%20_%7B2%7D

    D.%5Chat%5Cdelta%20_%7B1%7D%2B%5Chat%5Cdelta%20_%7B2%7D%2B%5Chat%5Cdelta%20_%7B3%7D

  10. For the model?y_%7Bt%7D%20=%5Calpha%20_%7B0%7D%20+%5Calpha_%7B1%7Dx_%7B1t%7D%2B%5Calpha_%7B2%7Dx_%7B2t%7D%2Bu_%7Bt%7D,if the value of DW statistic is equal to 1.92,it implies that (? ? ? ? )

    A.The independent variable?x_%7B1t%7D?is not significant

    B.u_%7Bt%7D%20?has AR(2) serial correlation

    C.u_%7Bt%7D%20?has AR(1) serial correlation

    D.The model is misspecified

II.Judgment 判斷并且改錯,正確的不用修改,錯誤的需要更正。

? ??

? 1.For the model?y_%7Bi%7D%3D%5Cbeta_%7B0%7D%2B%5Cbeta_%7B1%7Dx_%7Bi%7D%2Bu_%7Bi%7D,we have?%5Chat%7By_%7Bi%7D%7D%20=%5Chat%7B%5Cbeta_%7B0%7D%7D%2B%5Chat%7B%5Cbeta_%7B1%7D%7D%5Chat%7Bx_%7Bi%7D%7D%2B%5Chat%7Bu_%7Bi%7D%7D

? 2.Adding a regressor will increase adjusted R2

? 3.For the classic regression model?y_%7Bi%7D%3D%5Cbeta_%7B0%7D%2B%5Cbeta_%7B1%7Dx_%7B1i%7D%2B%C2%B7%C2%B7%C2%B7%2B%5Cbeta_%7Bk%7Dx_%7Bki%7D%2Bu_%7Bi%7D,we have? ? ? ? ? ? ? ??%5Csum_%7B1%7D%5En%20x_%7Bki%7D(y_%7Bi%7D-%5Cbeta_%7B0%7D-%5Cbeta_%7B1%7Dx_%7Bi1%7D-%C2%B7%C2%B7%C2%B7-%5Cbeta_%7Bk%7Dx_%7Bik%7D-u_%7Bi%7D)%3D0

? 4.For the model?y_%7Bi%7D%3D%5Cbeta_%7B0%7D%2B%5Cbeta_%7B1%7Dx_%7Bi%7D%2Bu_%7Bi%7D,under Assumption SLR.1 to SLR.3,we have?

? ? ?E(%5Ctilde%7B%5Cbeta_%7B1%7D%7D%20)=%5Cbeta_%7B1%7D

? 5.SSE=%5Csum_%7B1%7D%5En(%5Chat%7By_%7Bi%7D%7D-%5Cbar%7By_%7Bi%7D%7D%20)%C2%B2%20

? 6.Including one or more irrelevant variables in a multiple regression model or over? ? ? ? ? ? ? ? ? ? ?specifying the model does not affect the unbiasedness of the OLS.

? 7.The OLS estimators are inconsistent if the model has heteroskedasticity estimators?

? 8.The random walk is a stationary process

? 9.The R square of a multiple OLS is 0.7362,k=5 n=79 then the adjusted R square is? ? ? ? ? ? ? ?0.7362

?10.%5Chat%7Bmath%7D%3D2.274%2B0.00046totcomp%2B0.048staff-0.00020enroll

? ? ? ? ? ? ? ? ? ? ?(6.113)? (0.00010)? ? ? ? ? ? ? ? ??(0.040)? ? ? ? ?? ??(0.00022)

? ? ? ? ? ? ? ? ? ?? ? ? ? ??n%3D408%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20? ? ? ? ?? ?? ? ??R%C2%B2%3D0.0541? ? ?

? ? ? At 5% level we can reject?H_%7B0%7D about staff


III.Answer the following questions briefly

?1.What are the Gauss-Markov Assumptions in MLR

?2.Explain the consequence of causing by measurement error under explanatory variable

?3.Why an MA(1) process is a stationary process?

?4.What is the implicaton of?%5Cbeta_%7B3%7D%20?in the following model?

? ? ?y%3D%5Cbeta_%7B0%7D%2B%5Cbeta_%7B1%7Dx_%7B1%7D%2B%5Cbeta_%7B2%7Dx_%7B2%7D%2B%5Cbeta_%7B3%7D%5Cln%20x_%7B3%7D%2Bu??

?5.Explain the Breusch-Godfrey LM test for serial correlation


IV.

?1.According to a time series sample between consume(y) and income (x),we got the? ? ? ? ? ? ? following result by OLS (Standard error in parentheses)

? ? ??%5Chat%7By%7D%3D27.9123%2B0.4736x%20

? ? ? ? ? ? ??(2.6193)? ? (0.1024)

? ? ? ? ? ? ?we have n=57? ? ? ? ? R2=0.9328? ? ? ? DW=1.8403

(1)If the model has serial correlation,please calculate the correlation coefficients?%5Chat%7B%5Crho%20%7D%20 about residual approximately

(2)Please write down the quasi-differencing model with no serial correlation


? 2.Consider an equation to explain wage?in terms of working experience?its square and? ? ? ? ? ? ? ?education

? ? ? ? ? ??%5Cln%20wage%20%3D%20%5Calpha_%7B0%7D%2B%5Calpha_%7B1%7Dexp_%7Bi%7D%2B%5Calpha_%7B2%7Dexp_%7Bi%7D%C2%B2%2B%5Calpha_%7B3%7Dedu_%7Bi%7D%2Bu_%7Bi%7D

? ? suppose the estimator of?%5Calpha_%7B2%7D?is negative ,how do you explain the partial effect of?exp on? ? ? %5Cln%20%7Bwage%7D

(2)Suppose?y_%7Bt%7D%3De_%7B0%7D%2B%5Ctheta_%7B1%7De_%7Bt-1%7D?,e_%7Bt%7D?is an independent identically distributed sequence? ? ? ? ? ? ? with expectation Zero and variance %5Csigma%20%C2%B2,prove that {y_%7Bt%7D} is a stationary sequence

華工2023計(jì)量期末試題的評論 (共 條)

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