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标题: Reading 12: Multiple Regression and Issues in Regression A [打印本页]

作者: mayanfang1    时间: 2009-1-8 13:26     标题: [2009] Session 3 - Reading 12: Multiple Regression and Issues in Regression A

Q38. What percent of the variability in the dependent variable is explained by the independent variable?

A)   40.73%.

B)   56.00%.

C)   12.68%.

Q39. The model indicates that at the 5% level of significance:

A)   the slopes are not significant but the constant is.

B)   the slopes are significant but the constant is not.

C)   the slopes and the constant are statistically significant.

Q40 . When a number of independent variables in a multiple regression are highly correlated with each other, the problem is called:

A)   multicollinearity.

B)   autocorrelation.

C)   heteroskedasticity.

Q41. In a recent analysis of salaries (in $1,000) of financial analysts, a regression of salaries on education, experience, and gender is run. Gender equals one for men and zero for women. The regression results from a sample of 230 financial analysts are presented below, with t-statistics in parenthesis.

Salaries = 34.98 + 1.2 Education + 0.5 Experience + 6.3 Gender

                (29.11)          (8.93)                (2.98)                (1.58)

What is the expected salary (in $1,000) of a woman with 16 years of education and 10 years of experience?

A)   59.18.

B)   54.98.

C)   65.48.

Q42. Holding everything else constant, do men get paid more than women? Use a 5% level of significance. No, since the t-value:

A)   does not exceed the critical value of 1.96.

B)   does not exceed the critical value of 1.65.

C)   exceeds the critical value of 1.96.


作者: mayanfang1    时间: 2009-1-8 13:26

答案和详解如下:

Q38. What percent of the variability in the dependent variable is explained by the independent variable?

A)   40.73%.

B)   56.00%.

C)   12.68%.

Correct answer is B)

R2 = 0.56

Q39. The model indicates that at the 5% level of significance:

A)   the slopes are not significant but the constant is.

B)   the slopes are significant but the constant is not.

C)   the slopes and the constant are statistically significant.

Correct answer is B)

DF = N − k − 1 = 32 − 2 − 1 = 29. The t-critical value at 5% significance for a 2-tailed test with 29 df = 2.045. T-values for the slope coefficients are 3.52 and 3.19, which are both greater than 2.045 (critical value). For the constant, the t-value of 1.2 < 2.045.

Q40 . When a number of independent variables in a multiple regression are highly correlated with each other, the problem is called:

A)   multicollinearity.

B)   autocorrelation.

C)   heteroskedasticity.

Correct answer is A)

Multicollinearity is present when the independent variables are highly correlated.

Q41. In a recent analysis of salaries (in $1,000) of financial analysts, a regression of salaries on education, experience, and gender is run. Gender equals one for men and zero for women. The regression results from a sample of 230 financial analysts are presented below, with t-statistics in parenthesis.

Salaries = 34.98 + 1.2 Education + 0.5 Experience + 6.3 Gender

                (29.11)          (8.93)                (2.98)                (1.58)

What is the expected salary (in $1,000) of a woman with 16 years of education and 10 years of experience?

A)   59.18.

B)   54.98.

C)   65.48.

Correct answer is A)

34.98 + 1.2(16) + 0.5(10) = 59.18

Q42. Holding everything else constant, do men get paid more than women? Use a 5% level of significance. No, since the t-value:

A)   does not exceed the critical value of 1.96.

B)   does not exceed the critical value of 1.65.

C)   exceeds the critical value of 1.96.

Correct answer is B)

H0: bgender ≤ 0
Ha: bgender > 0

t-value of 1.58 < 1.65 (critical value)


作者: rettacui    时间: 2009-1-13 05:36

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