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Question 16

Which of the following can induce a 'multicollinearity' problem in a regression model?

Options:

A.

A large negative correlation between the dependent variable and one of the explanatory variables

B.

A high positive correlation between the dependent variable and one of the explanatory variables

C.

A high positive correlation between two explanatory variables

D.

The omission of a relevant explanatory variable

Question 17

What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?

Options:

A.

1 / (x+y)

B.

(∆x + ∆y) / (x+y)

C.

-∆x/(x+y) - ∆y/(x+y)

D.

ln(x+y) ∆x + ln(x+y) ∆y

Question 18

Suppose that f(x) and g(x,y) are functions. What is the partial derivative of f(g(x,y)) with respect to y?

Options:

A.

f'(g(x,y))

B.

f(dg/dy)

C.

f(g(x,y)) dg/dy

D.

f'(g(x,y)) dg/dy

Question 19

The natural logarithm of x is:

Options:

A.

the inverse function of exp(x)

B.

log(e)

C.

always greater than x, for x>0

D.

46

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PRM Certification 8007 Book, PRM Certification 8007 Syllabus Exam Questions Answers, 8007 VCE Exam Download,
Exam Code: 8007
Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
Last Update: Dec 22, 2024
Questions: 132
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