We found the least squares line through a set of n points(x 1 , y 1 ), (x 2 , y 2 ) , ,(x n , y n ) by choosing the slope of the line m and the y intercept b to minimize the quantity S(m, b) (mx b y) 2 , where the summation symbol means that we sum over all the data points Minimize S by setting S m (m, b) 0 and S b (m, b) 0, and then rearrange the results to derive the equations from Section 1 3 (x)b (x)m nb (x)m

Question: We found the least squares line through a set of n points(x 1 , y 1 ), (x 2 , y 2 ) ,....,(x n

We found the least squares line through a set of n points(x₁ , y₁), (x₂ , y₂) ,....,(x_n , y_n) by choosing the slope of the line m and the y-intercept b to minimize the quantity S(m, b) = ∑(mx + b - y)², where the summation symbol ∑ means that we sum over all the data points. Minimize S by setting S_m(m, b) = 0 and S_b(m, b) = 0, and then rearrange the results to derive the equations from Section 1.3 (x)b + (x)m nb + (x)m + = =

(x)b + (x)m nb + (x)m + = =

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