Using the large data set Amelia studied the relationship between rainfall (rrr) and temperature (ttt) in Camborne. She took a sample of 12 days from May and June 1987 and obtained the following results.
| Rainfall (cm) | 3 | 0.2 | 5.3 | 1.6 | 0.4 | 4.1 | 2.1 | 7.4 | 1.2 | 6.8 | 3.8 | 4.5 |
| Temperature (°C) | 13 | 9.4 | 10.1 | 8.7 | 12.2 | 11.1 | 9.8 | 11.5 | 12.6 | 10.7 | 8.9 | 11.8 |
Use your knowledge of the large data set to explain why it is unlikely that Amelia used a random sample.
Amelia used a computer program to obtain the following statistics for Rainfall
Q1=1.5 Q_1 = 1.5 Q1=1.5 Q2=3.4 Q_2 = 3.4 Q2=3.4 Q3=4.7 Q_3 = 4.7 Q3=4.7Determine 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.