Stats Problems

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week_5_stats_problems.docx

1)

GSS2012*

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

2)

GSS2008* Use the General Social Survey of 2008

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.    = 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