CAIE FP2 2019 June — Question 10

Exam BoardCAIE
ModuleFP2 (Further Pure Mathematics 2)
Year2019
SessionJune
TopicLinear regression
TypeFind unknown values from regression
10 The values from a random sample of five pairs \(( x , y )\) taken from a bivariate distribution are shown below.
\(x\)34468
\(y\)57\(q\)67
The equation of the regression line of \(x\) on \(y\) is given by \(x = \frac { 5 } { 4 } y + c\).
  1. Given that \(q\) is an integer, find its value.
  2. Find the value of \(c\).
  3. Find the value of the product moment correlation coefficient.
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Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 8 Q9 Q10 Q11 EITHER Q11 OR