Estimated the regression for quantity demanded


Problem:

Starting with the data on the price of a related commodity for years 1986 to 2005 listed below, we have estimated the regression for the quantity demanded of a commodity (which we now label QˆX), on the price of the commodity (which we now label PX), consumer income (which we now label Y), and the price of the related commodity (PZ), and we obtained the following results.

Year              Pz($)

1986

14

1987

15

1988

15

1989

16

1990

17

Year              Pz($)

1991

18

1992

17

1993

18

1994

19

1995

20

Year              Pz($)

1996

20

1997

19

1998

21

1999

21

2000

22

Year              Pz($)

2001

23

2002

23

2003

24

2004

25

2005

25

Q ^x = 121.86 – 9.50Px + 0.04Y – 2.21Pz
                      (5.12)     (2.18)    (-0.68)
R2 = 0.9633     F = 167.33       D – W = 2.38

Evaluate the above regression results in terms of the signs of the coefficients, the statistical significance of the coefficients and the explanatory power of the regression (R2). The number in parentheses below the estimated slope coefficients refer to the estimated t values.  The rule of thumb for testing the significance of the coefficients is if the absolute t value is greater than 2, the coefficient is significant, which means the coefficient is significantly different from zero.  For example, the absolute t value for Px is 5.12 which is greater than 2, therefore, the coefficient of Px, (-9.50) is significant.  In other words, Px does affect Qx. If the price of the commodity X increases by $1, the quantity demanded (Qx) will decrease by 9.50 units. (c) X and Z are complementary or substitutes?

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Microeconomics: Estimated the regression for quantity demanded
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