Shape of cost function for multiple variable linear regression?

[Suhas_K_R]

Hello,

In C1 W1, professor mentions that for “Single Variable Linear Regression” where
f = wx + b, the cost function if we choose squared error loss, is in the shape of a bowl (convex function).

In C2 W2, we learn about “Multiple Variable Linear Regression” where
f = w1x1 + w2x2 + … + wnxn + b
What is the shape of the cost function in this case if we use squared error loss? Will it still remain like convex function.

[TMosh]

It is still convex, but it cannot be plotted visually because it is multi-dimensional.