Consider a given data set represented as a matrix with $50$ rows and $8$ columns giving the following statistics in the respective columns.

Population:

Population estimate as of July $1,1975$

Income:

Per capita income $(1974)$

Illiteracy:

Illiteracy $(1970,$ percent of population$)$

Life Exp:

Life expectancy in years $(1969-71)$

Murder:

Murder and non$-$negligent manslaughter rate per $100,000,$ populations $(1976)$

HS Grad:

Percent high$-$school graduates $(1970)$

Frost:

Mean number of days with minimum temperature below freezing $(1931-1960)$ in capital or large city

Area:

Land area in square miles

You are requested to perform variety of exploratory analytics on given data.

Question I:

Find out how many states have an income of less than $4300?$

Question $2$:

Find out which is the state with the highest income.

Qnestion $3$:

Use a scatter plot to compare the different states for Illiteracy vs$.$ LifeExe. The output should look like this:

After that, use the state abbreviation text label to make your plot instead of the scatter points. The output should look like this:

Make histograms of the fifth variable "Murder" using different numbers of bars. Make another plot of murders by region using the factor state rerion on the $x-$axis.

Question $4$:

You need to use smooth regression to show the relation between Illiteracy vs$.$ LifeFse The outpot should look like this:

Question $5$:

$($a$)$ Draw a histogram that illustrates the population distribution among the states:

$($b$)$ Now split this distribution according to the regions:

Question $6$:

You need to use a scatter plot to show the distribution over the regions using different colors. The output should look like this:

Question $7$:

You are required to use multiple aesthetics together to produce more meaningful comparison between Illiteracy vs$.$ LifeExp. Please see the example figure below.

Region

$$ Norm Ce cram

Mortienal

Lowt

Weat $$

Population

a $5000$

al $17000$

a$.15000$

a $20000$