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The following table gives data on variables y 3 x1 3 x2 3 x3 3 and dummy variabl

ID: 3377594 • Letter: T

Question

The following table gives data on variables y3 x13 x23 x33 and dummy variables D1 AND D2

Y

X1

X2

X3

D1

D2

8

18

38

74

1

1

11

26

25

64

1

1

19

34

24

47

0

1

21

38

44

31

0

1

7

13

12

79

1

1

23

49

48

35

0

0

16

28

38

42

1

0

27

59

52

18

0

0

9

14

17

71

1

0

13

21

39

57

0

0

USING ANY STATISTICAL SOFTWARE PACKAGE ESTIMATE THE REGRESSION MODEL

Y=A+B1X1+B2X2+B3X3+B4D1+B5D2+Ê

USING THE SOLUTION OBTAINED, ANSWER THE FOLLOWING QUESTIONS.

1-Write the estimated regression equation.

2-Explain the meaning of b4 obtained by estimating the given regression model.

3-What are the values of the standard deviation of errors, the coefficient of multiple determination, and the adjusted coefficient of multiple determination?

4-What is the predicted value of y for x1 =45.x2 =40.x3 =60.       D1=0 and D2 =0?

5-Test whether variable x2 and dummy variable D2 jointly belong in the model.

6-Construct a 95%confidence interval for the coefficient of D1.

7-Using 5% significance level, test whether or not the coefficient of D1 is different from zero.

8-Using the 1% significance level, test whether or not the coefficient of all independent variables in the population regression model are equal to zero.

9-Create a slop dummy using D1 and x1. Substitute that variable in the equation instead of D and indicate whether D1 is more correctly a slope or intercept effect.

Y

X1

X2

X3

D1

D2

8

18

38

74

1

1

11

26

25

64

1

1

19

34

24

47

0

1

21

38

44

31

0

1

7

13

12

79

1

1

23

49

48

35

0

0

16

28

38

42

1

0

27

59

52

18

0

0

9

14

17

71

1

0

13

21

39

57

0

0

Explanation / Answer

The following table gives data on variables y 3 x1 3 x2 3 x3 3 and dummy variabl

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