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Reading 11: Correlation and Regression - LOS f, (Part 2):

Q16. In performing the correlation test on Grey and Jars, Standish would most appropriately address the issue of:

A)   spurious correlation and the issue of outliers.

B)   spurious correlation but not the issue of outliers.

C)   neither outliers nor correlation.

Q17. If the large capitalization index has a 10% return, then the forecast of the fund’s return will be:

A)   12.2.

B)   13.5.

C)   16.1.

Q18. The standard error of the estimate is:

A)   1.81.

B)   9.62.

C)   0.56.

Q19. A 95% confidence interval for the slope coefficient is:

A)   0.905 to 1.506.

B)   0.760 to 1.650.

C)   0.734 to 1.677.

Q20. Of the four caveats of regression analysis listed by Standish, the least accurate is:

A)   the choice to use a t-statistic or F-statistic for a forecast confidence interval is arbitrary.

B)   if the error terms are heteroskedastic the test statistics for the equation may not be reliable.

C)   the relationships of variables change over time.

答案和详解如下:

Q16. In performing the correlation test on Grey and Jars, Standish would most appropriately address the issue of:

A)   spurious correlation and the issue of outliers.

B)   spurious correlation but not the issue of outliers.

C)   neither outliers nor correlation.

Correct answer is A)

Both these issues are important in performing correlation analysis. A single outlier observation can change the correlation coefficient from significant to not significant and even from negative (positive) to positive (negative). Even if the correlation coefficient is significant, the researcher would want to make sure there is a reason for a relationship and that the correlation is not caused by chance.

Q17. If the large capitalization index has a 10% return, then the forecast of the fund’s return will be:

A)   12.2.

B)   13.5.

C)   16.1.

Correct answer is A)

The forecast is 12.209 = 0.149 + 1.206 × 10, so the answer is 12.2.

Q18. The standard error of the estimate is:

A)   1.81.

B)   9.62.

C)   0.56.

Correct answer is A)

SEE equals the square root of the MSE, which on the ANOVA table is 72.466 / 22 = 3.294. The SEE is 1.81 = (3.294)(0.5).

Q19. A 95% confidence interval for the slope coefficient is:

A)   0.905 to 1.506.

B)   0.760 to 1.650.

C)   0.734 to 1.677.

Correct answer is C)

The 95% confidence interval is 1.2056 ± (2.074 × 0.2275).

Q20. Of the four caveats of regression analysis listed by Standish, the least accurate is:

A)   the choice to use a t-statistic or F-statistic for a forecast confidence interval is arbitrary.

B)   if the error terms are heteroskedastic the test statistics for the equation may not be reliable.

C)   the relationships of variables change over time.

Correct answer is A)

The t-statistic is used for constructing the confidence interval for the forecast. The F-statistic is not used for this purpose. The other possible shortfalls listed are valid.

 

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