AQA S1 2006 June — Question 1

Exam BoardAQA
ModuleS1 (Statistics 1)
Year2006
SessionJune
TopicBivariate data
TypeCalculate r from raw bivariate data

1 The table shows, for each of a random sample of 8 paperback fiction books, the number of pages, \(x\), and the recommended retail price, \(\pounds y\), to the nearest 10 p.
\(\boldsymbol { x }\)223276374433564612704766
\(\boldsymbol { y }\)6.504.005.508.004.505.008.005.50
    1. Calculate the value of the product moment correlation coefficient between \(x\) and \(y\).
    2. Interpret your value in the context of this question.
    3. Suggest one other variable, in addition to the number of pages, which may affect the recommended retail price of a paperback fiction book.
  1. The same 8 books were later included in a book sale. The value of the product moment correlation coefficient between the number of pages and the sale price was 0.959 , correct to three decimal places. What can be concluded from this value?