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?

See step by step solution below

Step-by-step 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

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol