A biology student tracked the growth of 12 sunflowers over two months. The table below shows the age of the sunflowers in days and their corresponding height in cm.
| Age (days) | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 |
| Height (cm) | 12 | 22 | 34 | 45 | 58 | 68 | 79 | 85 | 96 | 108 | 115 | 128 |
Draw a scatter graph for this information.
Give an interpretation of the correlation between the age and the height of the sunflowers.
The equation of the regression line is h=2.10d+2.50h = 2.10d + 2.50h=2.10d+2.50, where h h\,h is height and d d\,d is age in days.
Give an interpretation of the gradient of this regression line.
The product moment correlation coefficient for this data is calculated to be 0.94.
Stating your hypotheses clearly test, at the 5% significance level, whether there is a positive correlation between age and height.
Determine whether you would reach the same conclusion at the 1% significance level.
Practise Edexcel A Level Maths Regression, Correlation and Hypothesis Testing with exam-style questions for A Level Maths. 100 questions covering Exponential Models, Measuring Correlation, and Hypothesis Testing for Zero Correlation, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.