Using the large data set Benjamin studied the relationship between rainfall (rrr) and temperature (ttt) in Camborne. He took a sample of 12 days from May and June 1987 and obtained the following results.
| Rainfall (cm) | 2.8 | 0.3 | 7.2 | 1.4 | 0.1 | 4 | 2 | 10.2 | 1 | 5.4 | 3.6 | 4.2 |
| Temperature (°C) | 12.4 | 9.1 | 10.6 | 11.8 | 8.7 | 13.1 | 10.2 | 9.5 | 12.7 | 11 | 9.8 | 10.9 |
Use your knowledge of the large data set to explain why it is unlikely that Benjamin used a random sample.
Benjamin used a computer program to obtain the following statistics for Rainfall
Q1=1.3 Q_1 = 1.3 Q1=1.3 Q2=3.2 Q_2 = 3.2 Q2=3.2 Q3=4.5 Q_3 = 4.5 Q3=4.5Determine whether there are any outliers in the sample.
Plot the information on a scatter graph
Explain why a linear regression model may not be suitable for this data.
46 exam-style questions on Edexcel A Level Maths Correlation, covering 4.1 Correlation and 4.2 Linear Regression. Each one has a worked solution and a mark scheme showing where the marks go.