Teaching S1/S2 statistics using graphing technology

Example
The following data were collected by a UK Gas supply company. It shows, for a house
in London, the weekly gas consumption, y, in thousands of cubic feet, and the
average outside temperature, x° C.
week 1 2 3 4 5 6 7 8 9 10
x 7.0 6.2 3.5 3.0 4.0 8.2 2.7 -1.0 7.0 7.8
y 3.5 4.2 5.6 6.0 5.0 4.1 6.2 7.5 4.5 4.2
(a) Calculate the regression line of gas consumption on average outside temperature.
(b) Evaluate the residuals for the points where x = 3.0° and x = 7.8°
(c) Find an estimate for the weekly gas consumption when the outside
temperature is 5°C.