B8IT103 Statistics for Data Analytics


Assessment Task

Using the Boston data set introduced during LAB work, apply linear regression modelling to predict the per capita crime rate using other variables in the data set. In other words, per capita crime rate is the response and the other variables are predictors.

 a)  Use descriptive statistics to explore the dataset.

b.) For each predictor, fit a simple linear regression model to predict the response. Complete regression analysis. Describe your results. In which of the models is there a statistically significant association between the predictor and the response? Create plots to back up your assertions. 

c) Fit a multiple regression model to predict the response using all the predictors. Describe your results. For which predictors can we reject the null hypothesis   := 0? [10]

d.) How do your results from (b) compare to your results from (c)? Create a plot displaying the univariate regression coefficients from (b) on the x-axis, and the multiple regression coefficients from (c) on the y-axis. That is each predictor is displayed as a single point in the plot. Its coefficient in a simple linear regression model is shown on the x-axis, and its coefficient estimate in the multiple linear regression model is shown on the y-axis. [10]

e.) Is there evidence of non-linear association between any of the predictors and the response? To answer this question, for each predictor X, fit a model of the form

01                 +  2 ²+  3 ³+ Ԑ

Summarise your findings.


Part a) may be completed using any choice of statistical package. Parts b) through e) should be completed using R. A report should be submitted together with supporting software analyses / R-code via online submission on or before Sunday 17th December 23:55. The grade assessment will be based on the DBS CA grading scheme which has been included in this document






















within grade band






Displays a thorough and systematic


Displaying insight







knowledge of module content, solution and


into problem and


















handover process and documentation.


solution presented.



















●   Clear grasp of the issues involved, with












evidence of innovative and original use of












learning resources.











●   Knowledge beyond module content.











●   Clear evidence of independence of thought












and originality











Methodological rigour











●   High critical judgement and confident grasp












of complex issues













A (Clear)



Methodological rigour




















Critical judgement











●   Use of additional learning resources
















Very good knowledge and understanding of


Extent of use of









the module content.


additional or non-








Well-argued answer


core learning








Some evidence of originality and critical
































Sound methodology











●   Critical judgement and some grasp of












complex issues.
















Good knowledge and understanding of the


Understanding of









module content.


the main issues








●   Reasonably well-argued answer











●   Largely descriptive or narrative in focus











●   Methodological application is not












consistent or thorough
















Lacking methodological application


Relevance of








Adequately argued










Basic understanding and knowledge










●   Gaps or inaccuracies but not damaging













E (Fail)






Weakness of














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