Q.3 Data are available for 201 countries on five demographic and economic characteristics: the rate of population growth (popgrwth), GDP per capita in US dollars (gdpcap), births per 1000 persons/year (birthrate), proportion of workforce employed in agriculture (agriculture) and the rate of literacy (literacy). A Principal Component Analysis is to be done out to look for interesting structure in this data. Required: a) Why is it a good idea to first scale the data? b) The Figure1 below is a scatter plot of the first two principal components of the scaled data. country 4. 1st Principal Component Figure 1 a) Do you think there is correlation between the first and second principal components? Justify your answer. b) Describe the interesting features of the Figure 1. Describe in a sentence or two the main differences between supervised and unsupervised c) learning. 2nd Principal Component 2 -1 0 1 2 3 4

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Q.3
Data are available for 201 countries on five denmographic and economic characteristics: the rate of
population growth (popgrwth), GDP per capita in US dollars (gdpcap), births per 1000 persons/year
(birthrate), proportion of workforce employed in agriculture (agriculture) and the rate of literacy
(literacy). A Principal Component Analysis is to be done out to look for interesting structure in this
data.
Required:
a)
Why is it a good idea to first scale the data?
b) The Figure1 below is a scatter plot of the first two principal components of the scaled data.
country
2
1st Principal Component
Figure 1
a)
Do you think there is correlation between the first and second principal components? Justify
your answer.
Describe the interesting features of the Figure1.
b)
c)
Describe in a sentence or two the main differences between supervised and unsupervised
learning.
2nd Principal Component
2 3
Transcribed Image Text:Q.3 Data are available for 201 countries on five denmographic and economic characteristics: the rate of population growth (popgrwth), GDP per capita in US dollars (gdpcap), births per 1000 persons/year (birthrate), proportion of workforce employed in agriculture (agriculture) and the rate of literacy (literacy). A Principal Component Analysis is to be done out to look for interesting structure in this data. Required: a) Why is it a good idea to first scale the data? b) The Figure1 below is a scatter plot of the first two principal components of the scaled data. country 2 1st Principal Component Figure 1 a) Do you think there is correlation between the first and second principal components? Justify your answer. Describe the interesting features of the Figure1. b) c) Describe in a sentence or two the main differences between supervised and unsupervised learning. 2nd Principal Component 2 3
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