For all 348 Local Authorities, the official OCR workbook gives the regression line y=1.283x−1.452y=1.283x-1.452y=1.283x−1.452, where x x\,x and y y\,y are the 2001 and 2011 percentages working mainly at or from home.
Estimate the 2011 percentage for a Local Authority with 2001 percentage 18%.
Calculate the residual if its actual 2011 percentage is 24.8%.
Interpret the sign of the residual.
Give one reason not to use the line for x=40x=40x=40.