1. Each month for several months, the average temper- ature in oC (x ) and the amount of steam in kg (y) consumed by a certain chemical plant were measured. The least-squares line computed from the resulting data is y = 111.74 + 0.51x .
a. Predict the amount of steam consumed in a month where the average temperature is 65 oC.
b. If two months differ in their average temperatures by 5 oC, by how much do you predict the amount of steam consumed to differ?
2. In a study of the relationship between the Brinell hardness (x) and tensile strength in ksi (y) of specimens of cold drawn copper, the least-squares line was y = -196.32 + 2.42x .
a. Predict the tensile strength of a specimen whose Brinell hardness is 102.7.
b. If two specimens differ in their Brinell hardness by 3, by how much do you predict their tensile strengths to differ?