OCR S1 2011 June — Question 7

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2011
SessionJune
TopicLinear regression
TypeExplain least squares concept

7 The diagram shows the results of an experiment involving some bivariate data. The least squares regression line of \(y\) on \(x\) for these results is also shown.
\includegraphics[max width=\textwidth, alt={}, center]{48ffcd44-d933-40e0-818a-20d6db607298-5_748_919_390_612}
  1. Given that the least squares regression line of \(y\) on \(x\) is used for an estimation, state which of \(x\) or \(y\) is treated as the independent variable.
  2. Use the diagram to explain what is meant by 'least squares'.
  3. State, with a reason, the value of Spearman's rank correlation coefficient for these data.
  4. What can be said about the value of the product moment correlation coefficient for these data?