Multiple choice Flashcards

1
Q

Does a biased estimator always have a higher MSE than an unbiased estimator?

A

No

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2
Q

Are OLS residuals correlated with the exogenous variables?

A

No

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3
Q

Why do OLS coefficient estimates follow a t distribution instead of a normal distribution?

A

Because error variance is unknown

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4
Q

If we want to test the hypothesis that a coefficient is positive, do we use a two tailed test?

A

No

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5
Q

Does the standard error of the regression always lie in the range 0 to 1?

A

No

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6
Q

The smaller the standard error:

A

The better the fit

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7
Q

The f test for joint significance is distributed as F with degrees of freedom equal to:

A

T-k-1, k
T = number of observations
k = number of slope coefficients

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8
Q

Would serial correlation of the errors in a regression model lead us to believe that the OLS coefficient estimates are biased?

A

No

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9
Q

If the Durbin-Watson statistic lies between the upper and lower critical bounds, should we accept the null that there is no serial correlation?

A

Yes

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10
Q

Is heteroskedasticity most often found in time series regression models?

A

No

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11
Q

How can you deal with heteroskedasticity?

A

Scaling the data appropriately

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12
Q

In the bivariate regression model, regression residuals can be estimated as:

A

Yi - a(hat) - B(hat)Xi

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13
Q

If the covariance between X and Y is negative then this implies that their correlation coefficient is:

A

Also negative

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14
Q

In the bivariate regression model, To get an unbiased estimator of error variance, we use the formula:

A

RSS/N-2

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15
Q

A model is said to be “misspecified” if:

A
  • It excludes a relevant explanatory variable
  • It includes an irrelevant explanatory variable
  • The functional form used is incorrect
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16
Q

If the Durbin-Watson statistic is significantly less than 2, then this indicates the presence of:

A

Positively autocorrelated errors

17
Q

The box-Ljung test statistic follows which distribution?

A

A chi-Squared distribution with degrees of freedom equal to the order of serial correlation

18
Q

How do you deal with serial correlation in the residuals of an estimated equation?

A
  • Difference the data

- Modify the equation to include more lags

19
Q

The goldfield-Quandt test is a test for:

A

Heteroskedastic errors in which the variance is a function of the size of the exogenous variable

20
Q

How do you calculate the t ratio of B?

A

B/s.e.B

21
Q

What’s the formula for the OLS residuals?

A

U(hat)=Yi-a-BXi