The analysis given below is for data on world population statistics for many cou
ID: 3237945 • Letter: T
Question
The analysis given below is for data on world population statistics for many countries. Density=number per area, Urban represents the proportion living in an urban setting, lifeexpf is the life expectancy for females, literacy is the proportion of the population that is literate, Babymort is infant mortality rate and GDP_Cap is a financial measure(gross domestic product).
Latent Roots (Eigenvalues)
1
2
3
4
5
6
3.988
1.017
0.495
0.339
0.128
0.033
Component loadings
DENSITY
0.211
0.957
0.184
URBAN
0.847
0.101
-0.096
LIFEEXPF
0.957
-0.102
0.135
LITERACY
0.894
-0.228
0.234
BABYMORT
-0.960
0.097
-0.166
GDP_CAP
0.767
0.140
-0.593
Variance Explained by Component
1
2
3
3.988
1.017
0.495
Percent of Total Variance Explained
1
2
3
66.463
16.95
8.251
What are the values of the summary statistics marked ???? – note there are two – one for variance explained and the other for proportion variance explained.
How would you interpret the first component? What is the significance of the negative loading for birth mortality?
How do you interpret the second component?
How would you interpret the third component?
1
2
3
4
5
6
3.988
1.017
0.495
0.339
0.128
0.033
Explanation / Answer
What are the values of the summary statistics marked ???? – note there are two – one for variance explained and the other for proportion variance explained.
Answer:
We observe that first component explained 66.463%, 2nd component explained 16.95% while 3rd explained 8.251% of the variance. So this means that first two components explained appropriate variance.
How would you interpret the first component? What is the significance of the negative loading for birth mortality?
Answer:
Component loading is higher for urban,liefexpf,literacy,babymort,gdp_cap, so first component explain all these variables.
Birth mortality has negative loading because it is negatively correlated with all other variables urban,liefexpf,literacy, ,gdp_cap.
How do you interpret the second component?
Answer:
Second component has high loading on to density indicating it represents this only
How would you interpret the third component?
Answer:
Third component is of no use as it has small compoannet loading with all variables.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.