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Reading 13- LOS m : Q11- 12

11.sider the following estimated model:

(Salest - Sales t-1) = 30 + 1.25 (Sales t-1 - Sales t-2) + 1.1 (Sales t-4 - Sales t-5) t=1,2,.. T

and Sales for the periods 1999.1 through 2000.2:

t

Period

Sales

T

2000.2

$2,000

T-1

2000.1

$1,800

T-2

1999.4

$1,500

T-3

1999.3

$1,400

T-4

1999.2

$1,900

T-5

1999.1

$1,700

The forecasted Sales amount for 2000.3 is closest to:

A)   $2,270.

B)   $1,730.

C)   $270.

D)   $2,625.


12. choice a researcher can use to test for nonstationarity is to use a:

A)   Dickey-Fuller test, which uses a modified t-statistic.

B)   Dickey-Fuller test, which uses a modified χ2 statistic.

C)   Breusch-Pagan test, which uses a modified t-statistic.

D)   Breusch-Pagan test, which uses a modified F-statistic.

11.sider the following estimated model:

(Salest - Sales t-1) = 30 + 1.25 (Sales t-1 - Sales t-2) + 1.1 (Sales t-4 - Sales t-5) t=1,2,.. T

and Sales for the periods 1999.1 through 2000.2:

t

Period

Sales

T

2000.2

$2,000

T-1

2000.1

$1,800

T-2

1999.4

$1,500

T-3

1999.3

$1,400

T-4

1999.2

$1,900

T-5

1999.1

$1,700

The forecasted Sales amount for 2000.3 is closest to:

A)   $2,270.

B)   $1,730.

C)   $270.

D)   $2,625.

The correct answer was B)

Change in sales = $30 + 1.25 ($2,000-1,800) + 1.1 ($1,400-1,900)

Change in sales = $30 + 250 - 550 = -$270

Sales = $2,000 – 270 = $1,730

12. choice a researcher can use to test for nonstationarity is to use a:

A)   Dickey-Fuller test, which uses a modified t-statistic.

B)   Dickey-Fuller test, which uses a modified χ2 statistic.

C)   Breusch-Pagan test, which uses a modified t-statistic.

D)   Breusch-Pagan test, which uses a modified F-statistic.

The correct answer was A)

The Dickey-Fuller test estimates the equation (xt – xt-1) = b0 + b1 × xt-1 - xt-1 + et and tests if H0: (b1 – 1) = 0. Using a modified t-test, if it is found that (b1–1) is not significantly different from zero, then it is concluded that b1 must be equal to 1.0 and the series has a unit root.

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