For all 348 Local Authorities in the OCR large data set, let x x\,x be the percentage of employed people working mainly at or from home in 2001 and y y\,y the corresponding percentage in 2011. A regression line calculated from the official workbook values is
y=1.283x−1.452y=1.283x-1.452y=1.283x−1.452.
Interpret the gradient.
Estimate y y\,y when x=10x=10x=10.
Explain why the intercept should not be interpreted literally.
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.