KB7044 Know how to perform correlation and regression analyses on a set of given data and interpret the results.

Learning Outcome 1.Know how to perform correlation and regression analyses on a set of given data and interpret the results.

Learning Outcome 2.Perform straightforward statistical inferences.

Learning Outcome 3.Practice the principle of risk-based approach to data analysis through a mathematically case study with analytical and numerical approaches.

Learning Outcome 4.Use the probabilistic-based method so derived to support decision making under uncertainty.

Learning Outcome 5.Be able to carry out your own literature research prior to solving engineering decision making problems (in the form of an independent learning project) and present the result with an in depth discussion.

Analytical Approach: Case 1

Tasks

Your first Problem is to investigate if there is a reasonable degree of correlation between uncertainty and actual stress in the section. If there are reasons to believe that correlation exists between certain factors then a regression analysis needs to be performed. A sample consisting of 22 data items, which is shown in Table 1, is then collected.

Table 1: Data for Correlation & Regression Analysis

Problem 1�Organise/sort the data to see if patterns can be observed. Perform correlation and regression analysis on this set of data. Explain and interpret the results as clearly as possible.