Edexcel S1 2023 October — Question 6

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2023
SessionOctober
TopicLinear regression
TypeFind means from regression lines
  1. The variables \(x\) and \(y\) have the following regression equations based on the same 12 observations.
\cline { 2 - 2 } \multicolumn{1}{c|}{}Regression equation
\(y\) on \(x\)\(y = 1.4 x + 1.5\)
\(x\) on \(y\)\(x = 1.2 + 0.2 y\)
    1. Find the point of intersection of these lines.
    2. Hence show that \(\sum x = 25\) Given that $$\sum x y = \frac { 6961 } { 60 }$$
  2. Find \(S _ { x y }\)
  3. Find the product moment correlation coefficient between \(x\) and \(y\)
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