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.