CAIE FP2 2017 June — Question 10

Exam BoardCAIE
ModuleFP2 (Further Pure Mathematics 2)
Year2017
SessionJune
TopicLinear regression
TypeHypothesis test for zero correlation

10 A random sample of 5 pairs of values \(( x , y )\) is given in the following table.
\(x\)12458
\(y\)75864
  1. Find, showing all necessary working, the equation of the regression line of \(y\) on \(x\).
  2. Find, showing all necessary working, the value of the product moment correlation coefficient for this sample.
  3. Test, at the \(10 \%\) significance level, whether there is evidence of non-zero correlation between the variables.