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x = -4, -6, 5, -6, -9, -2, 5

y = -4, -7, 3, -12, -2, 5, 7

a) y = a + bx

b) y = a + bx + c cosx

I can do part a by using the formula for least square methods for straight line. But what about part b? One way I can think of is to do the following

Use Calculus to minimize the value of Sum(a + bx + c cosx - y)^2 and derive equations for a, b and c.

But this problem is for linear algebra. So I am thinking if we can solve it without using calculus.