Question

For a given data find regression equations by the method of least squares.

Answer 1

Steps

Step 1: For each (x,y) point calculate x2 and xy.

Step 2: Sum all x, y, x2 and xy, which gives us Σx, Σy, Σx2 and Σxy (Σ means "sum up")

Step 3: Calculate Slope m:

m = N Σ(xy) − Σx Σy N Σ(x2) − (Σx)2

Step 4: Calculate Intercept b:

b = Σy − m Σx N.

Step 5: Assemble the equation of a line.

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