Using the dataset titled Bribery $,$ perform statistical analyses to answer the following questions:$$

Businesses entering new countries and cultural contexts often are surprised about the extent of bribery expectations they encounter. The following culture and national variables are designed to help predict bribery rates. Country code is an arbitrary code assigned to a country as an id #$.$ Bribery likelihood is a variable determined by various NGOs that indicates the extent to which companies can expect bribery requests in a certain country. Uncertain, Achievement, and Humane are cultural attributes of the country. GDP growth is country's GDP growth rate. Rule of law captures the extent to which a country enforces the written and codified legal structure. Poverty is a variable created to show how much people lack access to clean water, health care, and education, and HDI Score and Category are United Nations variables that describe human flourishing in a country.

$1)$ Perform descriptive statistics and create a correlation matrix for this data. Note any relationships or findings of interest. Will multicolinearity be a problem in this data?

$2)$ Is GDP Growth a significant predictor of Bribery? How well does the model perform?

$3)$ How do the three Culture variables influence Bribery likelihood? Interpret your regression model. $*($Disclaimer: You would not typically want to have so many variables in a regression model with this small of a sample. The questions here are for learning purposes only$).$

$4)$ What happens to this model if you control for a country's HDI Score? Now, instead of including HDI Score as a control, create a dummy variable so that you can control for whether a country is Low HDI in the regression model. How does this affect the model?

$5)$ Does Rule of Law affect Bribery rates? Some experts believe Rule of Law is good in moderate amounts. They predict more Bribery will happen when rule of law is either nonexistent or very high $($suggesting a nonlinear relationship$).$ Please test that assertion.

Your deliverable is a report addressing the analyses performed to answer the questions. Your report should include:

$1.$ Introduction

$2.$ Research Questions

$3.$ Methods

$4.$ Results

$5.$ Conclusions