Calculus Multivariable Calculus If a wire with linear density ρ ( x , y , z ) lies along a space curve C , its moments of inertia about the x -, y -, and z -axes are defined as I x = ∫ C ( y 2 + z 2 ) ρ ( x , y , z ) ds I y = ∫ C ( x 2 + z 2 ) ρ ( x , y , z ) ds I z = ∫ C ( x 2 + y 2 ) ρ ( x , y , z ) ds Find the moments of inertia for the wire in Exercise 35.

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Let’s look at a case where linear regression doesn’t work. Often the problem is that, while linear regression can model curves, it might not be able to model the specific curve that exists in your data. The graphs below illustrate this with a linear model that contains a cubed predictor.