Here are some data on schooling and urbanization for a sample of Middle Eastern and North African
nations in the mid-1990s.
Country
Average Years of School
Completed
Percent Urban
Saudi Arabia
Jordan
Libya
Syria
Iraq
Yemen
Qatar
United Arab Em.
Iran
Pakistan
Bahrain
Kuwait
Tunisia
Turkey
Algeria
Sudan
Morocco
Afghanistan
Lebanon
3.70
5.00
3.40
4.20
4.80
0.80
5.60
5.10
3.90
1.90
3.90
5.40
2.10
3.50
2.60
0.80
2.80
0.80
4.40
78.00
70.00
84.00
51.00
73.00
31.00
90.00
82.00
57.00
33.00
89.00
95.00
56.00
64.00
53.00
23.00
47.00
20.00
86.00

Sb = 0.157 (calculated for you)
a) Draw the appropriate graph to see existence of the relation between schooling and urbanism and
interpret it.
b) Calculate the correlation between these variables and comment on it.
c) Test whether there is positive association between them. Use a significance level of 0.05.
d) Which variable is the dependent variable? Why?
e) Fit a regression model and interpret the coefficients.
f) Is the regression significant?
g) Determine the standard error of the estimate.
h) Determine the coefficient of determination and intepret.
i) Estimate the typical schooling value if the urbanization is 50.00%.
j) Estimate the typical schooling value of a country if the urbanization is 50.00% with 90%
confidence.
k) Estimate the schooling value of a country whose urbanization is 55.00% with 90 confidence.