Actuarial Notes

CAS Exam 7 Spring 2013, Question 17

Study guide: Exam 9

Given the following data:

Policy Year Ultimate Loss ($000)

Line of Business 2008 2009 2010 2011 2012
Personal Auto 900 1,150 6,000 850 1,100
Homeowners 340 200 1,060 150 250

Part a (1 point)

Calculate the Pearson product-moment correlation between the personal auto loss data and the homeowners loss data.

Part b (1 point)

Calculate the Spearman rank correlation between the personal auto loss data and the homeowners loss data.

Part c (0.75 points)

Explain the difference between these two measures of correlation as applied to this data set.

Answer this question and see the worked solution

Concepts tested

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