Using the large data set Farah studied the relationship between rainfall (rrr) and temperature (ttt) in Camborne. She took a sample of 12 days from May and June 1990 and obtained the following results.
| Rainfall (cm) | 2.7 | 0.5 | 4.6 | 1.5 | 0.2 | 3.5 | 2 | 9.1 | 1.1 | 6.2 | 3.3 | 3.8 |
| Temperature (°C) | 8.9 | 12.1 | 10.4 | 11.6 | 9.7 | 13 | 10.8 | 11.2 | 8.6 | 12.5 | 9.3 | 11.9 |
Use your knowledge of the large data set to explain why it is unlikely that Farah used a random sample.
Farah used a computer program to obtain the following statistics for Rainfall
Q1=1.4 Q_1 = 1.4 Q1=1.4 Q2=3 Q_2 = 3 Q2=3 Q3=4 Q_3 = 4 Q3=4Determine 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.