Estimate the quantity of lubricant to be required in Year 2025 when the machines are planned to work for a total of 8 x 105 Hours.

Here's the solution for Question 2:

QUESTION 2

i) Estimate the quantity of lubricant to be required in Year 2025 when the machines are planned to work for a total of $8 \times 10^5$ Hours.

Step 1: Calculate the linear regression equation relating Quantity of lubricant ($Y$) to Total machine hours ($X$).
The given data is:

Period	$Y$ ($10^3$ gallons)	$X$ ($10^4$ hrs)	$XY$	$X^2$
2024	29	15	435	225