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Econometrics

Autor:   •  March 17, 2016  •  Course Note  •  1,593 Words (7 Pages)  •  767 Views

Page 1 of 7

6.14[pic 1]

Model: [pic 2] 

Define: [pic 3]

Stata: 

reg logvl logw

[pic 4]

The estimated elasticity is 1.333785=1.3338.

[pic 5] 

So the elasticity is not statistically significantly different from 1.

7.20

a. 

 

1% + in X

Y (Quit Rate) Change

X2

Adult Male Unemployment Rate

- 0.34%

X3

Percentage of Employees Younger than 25

+ 1.22%

X4

Manufacturing Employment in Quarter t-1 to Quarter t-4

+ 1.22%

X5

Percentage of Women Employees

+ 0.80%

X6

Time Trend

- 0.0055%

b. Yes, if it is easier for adult males to lose jobs, the quit rate will -.

c. Young workers are more likely to change their jobs, to pursue greater utilities.

d. The wage probably +d by time, the higher the wage, the lower the quit rate.

e. No, because adjusted goodness of fit is a relative indicator.

f. Yes. Because we know the Betas and ts. Deduce the standard errors by [pic 6]

7.21

a. 

Model: [pic 7] 

Define: [pic 8] 

Stata:

gen lnm=log(m2/cpi)

gen lny=log(gdp/cpi)

gen lnl=log(ltrate)

gen lns=log(tbrate)

reg lnm lny lnl

reg lnm lny lns

[pic 9]

The long term rate elasticity is -0.0516, GDP elasticity is 0.4946.

The short term rate elasticity is -0.0255, GDP elasticity is 0.5243.

b.

Model: [pic 10] 

Define: [pic 11] 

Stata:

gen lnmy=log(m2/gdp)

reg lnmy lnl

reg lnmy lns

[pic 12]

 

1% + in X

M/Y Change

l

Long Term Interest Rate

+ 0.2149%

s

Short Term Interest Rate

+ 0.1073%

According to R2 the long term rate has a higher one, so it fits better.

7.22

a. 

Model: [pic 13]

Stata:

gen lny=log(output)

gen lnk=log(capital)

gen lnl=log(labor)

[pic 14]

 

1% + in X

Y (Output) Change

K

Capital

+ 0.1398%

L

Labor

+ 2.3284%

The capital parameter is not significant, the labor parameter is significant but this is not real. Because the parameters in Cobb-Douglas Function could not be larger than 1. But in this model the R2 and F are very high, there might be multicollinearity.

...

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