Edexcel S1 — Question 6

Exam BoardEdexcel
ModuleS1 (Statistics 1)
TopicLinear regression
TypeCalculate y on x from raw data table
  1. The marks out of 75 obtained by a group of ten students in their first and second Statistics modules were as follows:
Student\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)\(I\)\(J\)
Module 1 \(( x )\)54334271602739465964
Module 2 \(( y )\)50224458421935465560
  1. Find \(\sum x\) and \(\sum y\). Given that \(\sum x ^ { 2 } = 26353\) and \(\sum x y = 22991\),
  2. obtain the equation of the regression line of \(y\) on \(x\).
  3. Estimate the Module 2 result of a student whose mark in Module 1 was Explain why one of these estimates is less reliable than the other. The equation of the regression line of \(x\) on \(y\) is \(x = 0.921 y + 9.81\).
  4. Deduce the product moment correlation coefficient between \(x\) and \(y\), and briefly interpret its value.
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