OCR S1 2005 January — Question 1 4 marks

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2005
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicBivariate data
TypeEstimate correlation from scatter diagram
DifficultyEasy -1.3 This is a straightforward visual interpretation question requiring only qualitative assessment of scatter patterns to identify strongest positive and weakest (or negative) correlation. No calculations needed, just basic understanding of what correlation coefficients represent visually—significantly easier than average A-level questions.
Spec2.02c Scatter diagrams and regression lines2.02d Informal interpretation of correlation

1 The scatter diagrams below illustrate three sets of bivariate data, \(A , B\) and \(C\). \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f0c0a4ca-da0a-4c74-b8b1-bac4fd3f2487-2_440_428_360_317} \captionsetup{labelformat=empty} \caption{Set \(A\)}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f0c0a4ca-da0a-4c74-b8b1-bac4fd3f2487-2_440_426_360_858} \captionsetup{labelformat=empty} \caption{Set \(B\)}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f0c0a4ca-da0a-4c74-b8b1-bac4fd3f2487-2_435_424_365_1402} \captionsetup{labelformat=empty} \caption{Set \(C\)}
\end{figure} State, with an explanation in each case, which of the three sets of data has
  1. the largest,
  2. the smallest,
    value of the product moment correlation coefficient.

1 The scatter diagrams below illustrate three sets of bivariate data, $A , B$ and $C$.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{f0c0a4ca-da0a-4c74-b8b1-bac4fd3f2487-2_440_428_360_317}
\captionsetup{labelformat=empty}
\caption{Set $A$}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{f0c0a4ca-da0a-4c74-b8b1-bac4fd3f2487-2_440_426_360_858}
\captionsetup{labelformat=empty}
\caption{Set $B$}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{f0c0a4ca-da0a-4c74-b8b1-bac4fd3f2487-2_435_424_365_1402}
\captionsetup{labelformat=empty}
\caption{Set $C$}
\end{center}
\end{figure}

State, with an explanation in each case, which of the three sets of data has\\
(i) the largest,\\
(ii) the smallest,\\
value of the product moment correlation coefficient.

\hfill \mbox{\textit{OCR S1 2005 Q1 [4]}}