How to use the SUMX2PY2 function
What is the SUMX2PY2 function?
The SUMX2PY2 function calculates the sum of squares of corresponding values in two arrays.
The sum of the sum of squares is a common procedure in many statistical calculations.
What is the square?
In mathematics, the square of a number is the result of multiplying the number by itself. Squaring a number is denoted by x2. For example, 52Â means 5 * 5 = 25.
Squaring a number results in a positive result as negative signs are removed in multiplication. (-5)2Â = 25 Squares grow very rapidly. Already x2Â reaches large values quickly as x increases, higher powers grow even faster.
The square root is the inverse operation of squaring. √25 = 5, since squaring 5 gives 25. Squaring is used in geometry to calculate area of squares, side length squared = area. Squaring is also used when calculating the area of a circle.
For example, A = π r²
A is the area.
r is the radius.
Ï€ is pi.
The graph of y = x2 is a parabola, symmetric about the origin.
Squares appear frequently in equations in physics, math, statistics, and other fields.
What is the sum of squares of corresponding values in two arrays?
SUMX2PY2 stands for the sum of x2 + y2
or
SUMX2MY2 = ∑ (x12 + y12) + (x22 + y22) + ... + (xn2 + yn2)
What is the main difference between the SUMX2PY2 function and the SUMSQR function?
The main difference between the SUMX2PY2 and SUMSQR functions in Excel is:
SUMX2PY2 Syntax: =SUMX2PY2(array1, array2)
SUMSQR Syntax: =SUMSQR(array)
SUMX2PY2 takes two arrays and sums the squares of each element in both arrays, while SUMSQR takes one array and just sums the squares of that array.
Excel Function Syntax
SUMX2MY2(array_x, array_y)
Arguments
| array_x | Required. The first array or range of values. |
| array_y | Required. The second array or range of values. |
SUMX2PY2 function example
The image above shows two arrays specified in cells B3:B5 and D3:D5, the first cell range contains 4, 3, and 4 and the second contains 2, 3, and 4.
Formula in cell F3:
Evaluate formula
4^2 + 2^2 = 16 + 4 = 20
3^2 + 3^2 = 9 + 9 = 18
4^2 + 4^2 = 16 + 16 = 32
20 + 18 + 32 equals 70
Functions in 'Math and trigonometry' category
The SUMX2PY2 function function is one of many functions in the 'Math and trigonometry' category.
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