A teacher recorded the number of hours spent revising and the resulting test scores for 12 students in a mathematics class. The data is presented in the table below.
| Revision Hours (hhh) | 2 | 4 | 5 | 7 | 8 | 10 | 12 | 14 | 15 | 17 | 18 | 20 |
| Test Score (sss) | 45 | 50 | 48 | 60 | 65 | 70 | 72 | 80 | 85 | 88 | 92 | 95 |
Draw a scatter graph for this information.
Give an interpretation of the correlation between the number of hours spent revising and the test scores.
The equation of the regression line for this data is s=2.84h+39.2s = 2.84h + 39.2s=2.84h+39.2.
Give an interpretation of the gradient of this regression line.
The product moment correlation coefficient (PMCC) for this data is calculated to be 0.98.
Stating your hypotheses clearly, test at the 5% significance level whether there is a positive correlation between revision hours and test scores.
Determine whether you would reach the same conclusion at the 1% significance level.
Practise Edexcel A Level Maths Hypothesis Testing for Zero Correlation with exam-style questions for A Level Maths. 52 questions, 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.
