The heights, h h\,h cm, and masses, m m\,m kg, of 12 footballers give the regression line m=1.37h−173m=1.37h-173m=1.37h−173. Their heights range from 169 cm to 194 cm.
Interpret the gradient.
Estimate the mass at 170 cm.
Explain why predicting the mass at 205 cm is less reliable.
121 exam-style questions on OCR A Level Maths 2.2 Data Presentation and Interpretation, covering 2.2.1 Tables and diagrams for single variable data, 2.2.2 Area in a histogram, 2.2.3 Scatter diagrams and regression lines, 2.2.4 Informal interpretation of correlation, 2.2.5 Correlation and causation, 2.2.6 Measures of average and spread, 2.2.7 Calculations of mean and standard deviation, 2.2.8 Outliers, 2.2.9 Selecting or critiquing data presentation, and 2.2.10 Cleaning data. Each one has a worked solution and a mark scheme showing where the marks go.