OCR Further Statistics AS 2019 June — Question 3

Exam BoardOCR
ModuleFurther Statistics AS (Further Statistics AS)
Year2019
SessionJune
TopicHypothesis test of Spearman’s rank correlation coefficien

3
  1. Shula calculates the value of Spearman's rank correlation coefficient \(r _ { s }\) for 9 pairs of rankings.
    Find the largest possible value of \(r _ { s }\) that Shula can obtain that is less than 1 .
  2. A set of bivariate data consists of 5 pairs of values. It is known that for this data the value of Spearman's rank correlation coefficient is - 1 but the value of Pearson's product-moment correlation coefficient is not - 1 . Sketch a possible scatter diagram illustrating the data.