Project #37624 - statistics

 

1.       GSS2012* How does the amount of education of one's parents (PAEDUC, MAEDUC) affect your education (EDUC)?       

 

            A Develop a regression model

 

          B.   Test the validity of the model

 

           C. Test the two slope coefficients

 

           D.  Interpret the coefficients

 

          E.  Calculate the correlation between the father's and the mother's years of education. Is there any sign of multicollinearity

 

 

 

2.    GSS2008* Use the General Social Survey of 2008 to conduct a regression analysis of income (INCOME) using the following dependent variables:

 

       

 

  Age (AGE)

 

 Years of education (EDUC)

 

 Hours of work per week (HRS)

 

 Spouse's hours of work (SPHRS)

 

 Occupation prestige score (PRESTG80)

 

 Number of children (CHILDS)

 

 Number of family members earning money (EARNRS)

 

Years with current employer (CUREMPYR)

 

        A.  Calculate the correlation matrix.

 

        B.  Are there signs of the presence of multicollinearity? Explain.  

 

           C.  Test the correlation between each independent variable and the dependent variable. Which independent variables are linearly related to the dependent variable?

 

 

3.  Xr20-932 Plot the following time series to determine which of the trend models appears to fit better.

 

Period

1

2

3

4

5

Time Series

55

57

53

49

47

Period

6

7

8

9

10

Time Series

39

41

33

28

20

 

 

 

4.   The following trend line and seasonal indexes were computed from 4 weeks of daily observations. Forecast the 7 values for next week.   yÌ‚ = 120 + 2.3t    t = 1, 2, … , 28

 

Day

Seasonal Index

Sunday

1.5

Monday

.4

Tuesday

.5

Wednesday

.6

Thursday

.7

Friday

1.4

Saturday

1.9

 

 

 

5.  Draw the decision tree: 

 

 

a 1

a 2

s 1

55

26

s 2

43

38

s 3

29

43

s 4

15

51

 

6.   The owner of a clothing store must decide how many men's shirts to order for the new season. For a particular type of shirt, she must order in quantities of 100 shirts. If she orders 100 shirts, her cost is $10 per shirt; if she orders 200 shirts, her cost is $9 per shirt; and if she orders 300 or more shirts, her cost is $8.50 per shirt. Her selling price for the shirt is $12, but any shirts that remain unsold at the end of the season are sold at her famous "halfprice, end-of-season sale.” For the sake of simplicity, she is willing to assume that the demand for this type of shirt will be 100, 150, 200, or 250 shirts. Of course, she cannot sell more shirts than she stocks. She is also willing to assume that she will suffer no loss of goodwill among her customers if she understocks and the customers cannot buy all the shirts they want. Furthermore, she must place her order today for the entire season; she cannot wait to see how the demand is running for this type of shirt.

 

       A.   Construct the payoff table to help the owner decide how many shirts to order.

 

        B  Set up the opportunity loss table.

 

        C.  Draw the decision tree

 

Submit your answers in a Microsoft Excel workbook, with each problem on a separate worksheet. Label each tab in the workbook with the exercise number. Highlight the answers in yellow and provide an interpretation in a text box.

 

Subject Mathematics
Due By (Pacific Time) 08/10/2014 12:00 pm
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