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What is the y-intercept term, b0?

A) 47.6712. 

B) 34.7400.

C) 92.2840.

D) 512.3600.

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The correct answer is A

The mean of the aggregate revenue (Y) is 3,645/10 = 364.50 and of the advertising expenditure (X) is 91.2/10 = 9.12. The y-intercept, b0 = MeanY – Slope * MeanX = 364.50 – 34.74 * 9.12 = 47.6712.

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What is the calculated F-statistic?

A) 12.2700.

B) 92.2840.

C) 1,032.1717.

D) 0.1250.

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The correct answer is A

The computed value of the F-Statistic = MSR/MSE = 12,665.12576 / 1,032.17178 = 12.27, where MSR and MSE are from the ANOVA table.

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10、Given the results from a multiple regression function: 24 ? 2 × X1i + 4 × X2i, which of the following are known to be true? Based upon the equation:

?            if the observed dependent variable equals 30 and X1i = 1, then X2i = 2.

?            if both independent variables equal zero, the fitted value for the dependent variable is 24.

?            there is a negative relationship between the dependent variable and X1i.

?            given X1i = 2 and X2i = 1 the fitted value for the dependent variable is 24.

A) II and III only.

B) I and III only.

C) II, III, and IV only.

D) I, II, III, and IV.

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The correct answer is C

A researcher cannot make inferences about the independent variables from observed values of the dependent variable.

 

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11、John Conner, FRM and Chris Bond, FRM are planning to compute the coefficient of determination from a regression analysis. Conner asserts the following formula is appropriate for a two-variable regression, but it will have to be adjusted for degrees of freedom when additional variables are added to the equation: .

Bond asserts that the following formula is appropriate, and it does not have to be adjusted for degrees of freedom: .

What, if any, error have the analysts made in their assertions?

A) There are no errors in the assertions.

B) Bond’s formula has an error, but Bond is correct in that it does not have to be adjusted for degrees of freedom.

C) Conner’s formula has an error, but Conner is correct in that it must be adjusted for degrees of freedom.

D) Conner’s formula is correct, but Conner is not correct in asserting that it must be adjusted for degrees of freedom.

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The correct answer is D

The formulas are both correct, and it is not necessary to adjust for degrees of freedom

 

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12、Werner Baltz, CFA, has regressed 30 years of data to forecast future sales for National Motor Company based on the percent change in gross domestic product (GDP) and the change in price of a U.S. gallon of fuel at retail. The results are presented below. Note: results must be multiplied by $1,000,000:

Coefficient Estimates

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Standard Error

Predictor

Coefficient

of the Coefficient

Intercept

78

13.710

?1 GDP

30.22

12.120

?2$ Fuel

?412.39

183.981

 

 

Analysis of Variance Table (ANOVA)

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Source

Degrees of Freedom

Sum of Squares

Mean Square

Regression

 

291.30

145.65

Error

27

132.12

 

Total

29

423.42

 

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In 2002, if GDP rises 2.2% and the price of fuels falls $0.15, Baltz’s model will predict Company sales in 2002 to be (in $ millions) closest to:

A)    $128.

B)    $82.

C)   $206.

D)   $254.

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The correct answer is D

Sales will be closest to $78 + ($30.22 × 2.2) + [(?412.39) × (?$0.15)] = $206.34 million.

 

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