Project Scenario: You are a Data Scientist with a housing agency in Boston MA, you have been given access to a previous dataset on housing prices derived from the U.S. Census Service to present insights to higher management. Based on your experience in Statistics, what information can you provide them to help with making an informed decision? Upper management will like to get some insight into the following.

Task 1:

For all visualizations, please include a title in each graph and appropriate labels

Generate the following and explain your findings:

For the "Median value of owner-occupied homes" provide a boxplot

Provide a bar plot for the Charles river variable

Provide a boxplot for the MEDV variable vs the AGE variable. (Discretize the age variable into three groups of 35 years and younger, between 35 and 70 years and 70 years and older)

Provide a scatter plot to show the relationship between Nitric oxide concentrations and the proportion of non-retail business acres per town. What can you say about the relationship?

Create a histogram for the pupil to teacher ratio variable

Task 2: For each of the following questions;

Is there a significant difference in median value of houses bounded by the Charles river or not? (T-test for independent samples)

Is there a difference in Median values of houses (MEDV) for each proportion of owner occupied units built prior to 1940 (AGE)? (ANOVA)

Can we conclude that there is no relationship between Nitric oxide concentrations and proportion of non-retail business acres per town? (Pearson Correlation)

What is the impact of an additional weighted distance to the five Boston employment centres on the median value of owner occupied homes? (Regression analysis)