| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Session | Specimen |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Bivariate data |
| Type | Calculate r from summary statistics |
| Difficulty | Easy -1.2 This is a straightforward application of the correlation coefficient formula r = S_xy/√(S_xx × S_yy) with all summary statistics provided. Part (c) tests understanding that correlation is scale-invariant, which is a standard textbook property. Requires only direct substitution and basic calculator work with no problem-solving or conceptual challenge. |
| Spec | 5.08a Pearson correlation: calculate pmcc5.08c Pearson: measure of straight-line fit |
\begin{enumerate}
\item Gary compared the total attendance, $x$, at home matches and the total number of goals, $y$, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated:
\end{enumerate}
$$S _ { x x } = 1022500 \quad S _ { y y } = 130.9 \quad S _ { x y } = 8825$$
(a) Calculate the product moment correlation coefficient for these data.\\
(b) Interpret the value of the correlation coefficient.
Helen was given the same data to analyse. In view of the large numbers involved she decided to divide the attendance figures by 100 . She then calculated the product moment correlation coefficient between $\frac { x } { 100 }$ and $y$.\\
(c) Write down the value Helen should have obtained.\\
\hfill \mbox{\textit{Edexcel S1 Q1 [4]}}