Correlation Analyses and Application of the Empirical Rule
Before attempting to work this problem, you should read the PDF file below to review how to interpret a SPSS correlation matrix.
Using the Alabama Demographics data file provided below, perform a
correlation analysis of the following variables:
Average Family Size
(avgfmsiz)
Median Age (medage)
Median Income (medinc)
Number of Children Living in Poverty (chldpvt)
Number of People with Less than a 9th Grade Education (less9)
For each pair of
variables that is statistically significant describe the size and direction of
the correlation. Using your intuition, do the correlations seem to make sense?
Perform a univariate analysis for each of the variables listed above
and test for normality. Round each mean and standard deviation to the nearest
whole number, except for the standard deviation for average family size, which
you should let equal 0.10.
1. How many children in
poverty is the 84th percentile?
2. What percentage of all
average family sizes is between 2.90 and 3.20?
3. What percentage of all
average family sizes is less than 2.7?
4. What median income is
the 16th percentile?
5. What percentage of
median income lies between 35,827 and 47,327?
6. How many people with
less than a 9th grade education represent the 50th
percentile?
7. Percentage of counties
has a median age greater than 40?
8. What range of median
age accounts for 95% of all observations?
Submit as a word document. The file should contain your last name and the assignment name. Be sure to also include a copy of your correlation matrix and univariate analysis.