A regression line for monthly electricity cost c c\,c pounds on average temperature t ∘Ct\,^{\circ}\mathrm Ct∘C is c=94.6−2.85tc=94.6-2.85tc=94.6−2.85t, based on winter temperatures from 1 ∘C1\,^{\circ}\mathrm C1∘C to 11 ∘C11\,^{\circ}\mathrm C11∘C.
Interpret the gradient.
Estimate the cost when t=8t=8t=8.
Explain why the line should not be used without caution at t=25t=25t=25.