SUMX2PY2()

Syntax. SUMX2PY2(array_x,array_y)

Definition. This function returns the sum of the sum of squares of corresponding values in two arrays. The sum of the sum of squares is a common term in many statistical calculations (see Figure 16-36).

Arguments

  • array_x (required) The first array or range of values

  • array_y (required) The second array or range of values

Background. The arguments should be numbers, names, arrays, or references containing numbers.

If an array or a reference argument contains text, logical values, or empty cells, those values are ignored. However, cells with the value zero are included.

If array_x and array_y have a different number of values, the SUMX2PY2() function returns the #N/A error.

The equation for the sum of the difference of squares is:

Σ(x2y2)

The solution of this equation is built for the example (see Figure 16-36) as follows:

  1. In two specified ranges:

    • Range A: 4, 5

    • Range B: 2, 3

    The square number is calculated for each value:

    • Range A: 16, 25

    • Range B: 4, 9

  2. The square numbers of all ranges are added:

    • Range A: 41

    • Range B: 13

  3. The sums are added (see Figure 16-36):

    41 + 13 = 54

Square sum of array components.

Figure 16-36. Square sum of array components.

See Also

SUMPRODUCT(), SUMX2MY2(), SUMXMY2()

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