| Exam Board | AQA |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2007 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Bivariate data |
| Type | Estimate correlation from scatter diagram |
| Difficulty | Easy -1.3 This is a straightforward visual interpretation task requiring students to estimate correlation coefficients from scatter diagrams without calculation. It tests basic understanding of what correlation looks like graphically (positive/negative, strong/weak) but requires no problem-solving, calculation, or multi-step reasoning—purely pattern recognition of a fundamental statistical concept. |
| Spec | 2.02d Informal interpretation of correlation |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| \(0.5 \leq \text{Value} \leq 0.95\) | B2 | Value is actually \(0.8\) |
| Positive value \(< 1\) (and \(> 0\)) | (B1) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| \(-0.2 \leq \text{Value} \leq +0.2\) | B1 | Value is actually \(0.0\) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| \(-0.95 \leq \text{Value} \leq -0.5\) | B2 | Value is actually \(-0.7\) |
| Negative value \(> -1\) (and \(< 0\)) | (B1) |
# Question 3:
## Part 3(a)
| Answer/Working | Marks | Guidance |
|---|---|---|
| $0.5 \leq \text{Value} \leq 0.95$ | B2 | Value is actually $0.8$ |
| Positive value $< 1$ (and $> 0$) | (B1) | |
## Part 3(b)
| Answer/Working | Marks | Guidance |
|---|---|---|
| $-0.2 \leq \text{Value} \leq +0.2$ | B1 | Value is actually $0.0$ |
## Part 3(c)
| Answer/Working | Marks | Guidance |
|---|---|---|
| $-0.95 \leq \text{Value} \leq -0.5$ | B2 | Value is actually $-0.7$ |
| Negative value $> -1$ (and $< 0$) | (B1) | |
---3 Estimate, without undertaking any calculations, the value of the product moment correlation coefficient between the variables $x$ and $y$ in each of the three scatter diagrams.
\begin{enumerate}[label=(\alph*)]
\item \\
\includegraphics[max width=\textwidth, alt={}, center]{868dc38b-3f24-4218-a300-c3cc2d9ff5d1-03_631_659_516_301}
\item \\
\includegraphics[max width=\textwidth, alt={}, center]{868dc38b-3f24-4218-a300-c3cc2d9ff5d1-03_620_647_525_1119}
\item \\
\includegraphics[max width=\textwidth, alt={}, center]{868dc38b-3f24-4218-a300-c3cc2d9ff5d1-03_624_655_1279_303}\\
(5 marks)
\end{enumerate}
\hfill \mbox{\textit{AQA S1 2007 Q3 [5]}}