The amount of kerosene used by a typical household in a week (Q, in litres) is found to have a strong correlation with the price of kerosene (P, in $). For 6 observations, the following data was...

The amount of kerosene used by a typical household in a week (Q, in litres) is found to have a strong

correlation with the price of kerosene (P, in $). For 6 observations, the following data was collected:
Q          P
11.4    4.00
14      3.50
16      3.00
18      2.50
20.     2.00
22      1.50
(a) Create a regression relationship for this data.
(b) Perform a hypothesis test to determine whether the slope coefficient obtained in part (a) above issignificant.
(c) Use the regression equation in part (a) above to predict the quantity of kerosene used by a household

when the price is $3.75 per litre.
(d) Calculate the price elasticity of demand for kerosene at a price of $3.75
(e) Using a further calculation, discuss how well the regression equation in part (a) above fits the data.
(f) Discuss whether the relationship between the price and quantity could be due to the income effect, the substitution effect, or both