When the xs are equally spaced the calculation


When the x's are equally spaced, the calculation of  and  can be simplified by coding the x's by assigning them the values ... , -3, -2, -1, 0, 1, 2, 3, ... when n is odd, or the values ... , -5, -3, -1, 1, 3, 5, ... when n is even. Show that with this coding the formulas for  and  become

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Basic Statistics: When the xs are equally spaced the calculation
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