Question: Question 3 The following table contains salary data for a team of five engineers and their length of service with their employer: Length of

Question 3 The following table contains salary data for a team of

Question 3 The following table contains salary data for a team of five engineers and their length of service with their employer: Length of service (years)-x Annual salary (000) - y Engineer 1 2 32 Engineer 2 7 67 Engineer 3 4 61 Engineer 4 Engineer 5 2 6 36 59 (a) Find the correlation coefficient r for the salaries and lengths of service for the six Engineers by using the the Pearson product moment correlation coefficient (give your answer to three decimal places). [9 marks] The ratings for energy efficiency of five houses recorded by two different property surveyors using different ratings methods, are given in the table below: House Surveyor 1 Ratings A B D E D B A B+ Surveyor 2 Ratings 73% 66% 71% 80% 82% (NOTE: '+' represents a higher rating, i.e. A+ is higher than an A) (b) Calculate the coefficient of correlation Frank by the rank difference method (Spearman's rank coefficient). Give your answer to three decimal places. [6 marks]

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