Highlights
Task:
Questions (10 pts in total) Use the “Boston” data (from the “MASS” package) that contains the Housing Values in Suburbs of Boston (506 towns and 14 attributes.) to answer the following questions. Figures/plots that may help answer the questions could be included in the document. The data attribute descriptions can be found in page 20 – page 21: https://cran.r-project.org/web/packages/MASS/MASS.pdf
(1) (2 pts) Which of the 14 variables has the most symmetric distribution (Hint: check the skewness for all variables)?
(2) (2 pts) Do any of the suburbs of Boston appear to have particularly high crime rates (outliers)? Extreme high tax rates? (Hint: Boxplot)
(3) (2 pts) Are any of the 14 predictors (independent variables) associated with per capita crime rate (dependent variable)? If so, explain the relationship and comment on your findings.
(4) (2 pts) Assume that a safe town requires lower than 3% average crime rate (with unknown population variance), please use the hypothesis testing method to judge whether the suburbs of Boston in this dataset are statistically safe or not (Hint: use the variable “crim”).
(5) (2 pts) Choose the predictor that has the largest positive correlation relationship with per capita crime rate and examine their linear regression model. Comment on your findings.
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