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.
Use the equation of the regression line to estimate the weight of a player who is 170cm tall.
Comment on the reliability of your estimate in part (d), giving a reason for your answer.
121 exam-style questions on OCR (MEI) A Level Maths 2.2 Data Presentation and Interpretation, covering 2.2.1 Types of data and standard diagrams, 2.2.2 Area in a histogram is proportional to frequency, 2.2.3 Cumulative frequency diagram, 2.2.4 Describe frequency distributions, 2.2.5 Samples and theoretical distributions, 2.2.6 Interpret a scatter diagram, 2.2.7 Distinct sections and outliers in scatter diagrams, 2.2.8 Correlation and causation, 2.2.9 Select or critique data presentation techniques, 2.2.10 Measures of central tendency, 2.2.11 Simple measures of spread, 2.2.12 Variance and standard deviation, 2.2.13 Outliers, 2.2.14 Cleaning data, and 2.2 Data Presentation and Interpretation. Each one has a worked solution and a mark scheme showing where the marks go.