Question

Each month for several months, the average temperature in °C (x) and the number of pounds of steam (y) consumed by a certain chemical plant were measured. The least-squares line computed from the resulting data is y = 245.82 + 1.13x. Predict the number of pounds of steam consumed in a month where the average temperature is 65°C.

If two months differ in their average temperatures by 5°C, by how much do you predict the number of pounds of steam consumed to differ?

Answer 1

See step by step solution below

Explanation:

Given that; y = 245.82 + 1.13x

If x = 65°C

y= 245.82 + 1.13(65)

y= 319 pounds of steam

Given that for the first month;

y1= 245.82 + 1.13x

For the second month

y2 = 245.82 + 1.13(x - 5)

y1 - y2 = ∆y

∆y = 245.82 + 1.13x - [245.82 + 1.13(x - 5)]

∆y = 5.65