A football coach measured the heights and weights of 12 players. The data is shown below.
| Height (cm) | 188 | 194 | 178 | 175 | 185 | 175 | 188 | 193 | 180 | 190 | 181 | 169 |
| Weight (kg) | 70 | 100 | 83 | 69 | 77 | 58 | 90 | 86 | 71 | 94 | 68 | 61 |
Draw a scatter graph for this information.
Give an interpretation of the correlation between the height and weight of the footballers.
The equation of the regression line is w=1.37h−173w = 1.37h - 173w=1.37h−173
Give an interpretation of the gradient of this regression line.
The product moment correlation coefficient is calculated to be 0.81.
Stating your hypotheses clearly test, at the 5% significance level, whether there is a positive correlation between height and weight.
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.