How to Use the SUMXMY2 Function in Excel

Today, we will delve into the SUMXMY2 function, a robust mathematical tool available in both Excel and Google Sheets. This function efficiently computes the sum of the squares of differences between corresponding entries in two arrays or ranges.

Function Syntax

The syntax for the SUMXMY2 function is as follows:

=SUMXMY2(array_x, array_y)

array_x: Represents the first array or range of values.
array_y: Denotes the second array or range of values.

Example Tasks

Below are practical applications where the SUMXMY2 function proves invaluable:

Calculating Residual Sum of Squares (RSS)

A typical use of the SUMXMY2 function is in calculating the Residual Sum of Squares (RSS) in regression analysis. This calculation helps assess the fit of a model by comparing observed values against predicted values.

Consider the following data in Excel:

Observed Values	Predicted Values
10	12
15	14
20	18

To compute the RSS, apply the formula:

=SUMXMY2(A2:A4, B2:B4)

Excel will return the sum of the squares of the differences between the observed and predicted values, providing insight into the model’s accuracy.

Measuring Variability

The SUMXMY2 function is also effective for measuring variability between two data sets by calculating the sum of squared differences. This quantifies the disparity in values between sets.

For instance, consider comparing these two data sets in Google Sheets:

Data Set 1	Data Set 2
5	3
10	12
15	14

Utilize the SUMXMY2 function with the following command:

=SUMXMY2(A2:A4, B2:B4)

This computes a numerical value representing the overall variability between the two data sets.

In conclusion, the SUMXMY2 function offers a versatile approach for various calculations involving squared differences between paired values in arrays or ranges.

More information: https://support.microsoft.com/en-us/office/sumxmy2-function-9d144ac1-4d79-43de-b524-e2ecee23b299

Other functions

ABS

Returns the absolute value of a number

ACOS

Returns the arccosine of a number

ACOSH

Returns the inverse hyperbolic cosine of a number

ACOT

Returns the arccotangent of a number

ACOTH

Returns the hyperbolic arccotangent of a number

AGGREGATE

Returns an aggregate in a list or database

ARABIC

Converts a Roman number to Arabic, as a number

ASIN

Returns the arcsine of a number

ASINH

Returns the inverse hyperbolic sine of a number

ATAN

Returns the arctangent of a number

ATAN2

Returns the arctangent from x- and y-coordinates

ATANH

Returns the inverse hyperbolic tangent of a number

BASE

Converts a number into a text representation with the given radix (base)

CEILING

Rounds a number to the nearest integer or to the nearest multiple of significance

CEILING.MATH

Rounds a number up, to the nearest integer or to the nearest multiple of significance

CEILING.PRECISE

Rounds a number the nearest integer or to the nearest multiple of significance Regardless of the sign of the number, the number is rounded up

COMBIN

Returns the number of combinations for a given number of objects

COMBINA

Returns the number of combinations (with repetitions) for a given number of items

COS

Returns the cosine of a number

COSH

Returns the hyperbolic cosine of a number

COT

Returns the hyperbolic cosine of a number

COTH

Returns the cotangent of an angle

CSC

Returns the cosecant of an angle

CSCH

Returns the hyperbolic cosecant of an angle

DECIMAL

Converts a text representation of a number in a given base into a decimal number

DEGREES

Converts radians to degrees

EVEN

Rounds a number up to the nearest even integer

EXP

Returns

FACT

Returns the factorial of a number

FACTDOUBLE

Returns the double factorial of a number

FLOOR.MATH

Rounds a number down, to the nearest integer or to the nearest multiple of significance

FLOOR.PRECISE

Rounds a number the nearest integer or to the nearest multiple of significance Regardless of the sign of the number, the number is rounded up

GCD

Returns the greatest common divisor

INT

Rounds a number down to the nearest integer

ISO.CEILING

Returns a number that is rounded up to the nearest integer or to the nearest multiple of significance

LCM

Returns the least common multiple

LET

Assigns names to calculation results to allow storing intermediate calculations, values, or defining names inside a formula

Returns the natural logarithm of a number

LOG

Returns the logarithm of a number to a specified base

LOG10

Returns the base-10 logarithm of a number

MDETERM

Returns the matrix determinant of an array

MINVERSE

Returns the matrix inverse of an array

MMULT

Returns the matrix product of two arrays

MOD

Returns the remainder from division

MROUND

Returns a number rounded to the desired multiple

MULTINOMIAL

Returns the multinomial of a set of numbers

MUNIT

Returns the unit matrix or the specified dimension

ODD

Rounds a number up to the nearest odd integer

Returns the value of pi

POWER

Returns the result of a number raised to a power

PRODUCT

Multiplies its arguments

QUOTIENT

Returns the integer portion of a division

RADIANS

Converts degrees to radians

RAND

Returns a random number between 0 and 1

RANDARRAY

Returns an array of random numbers between 0 and 1 However, you can specify the number of rows and columns to fill, minimum and maximum values, and whether to return whole numbers or decimal values

RANDBETWEEN

Returns a random number between the numbers you specify

ROMAN

Converts an arabic numeral to roman, as text

ROUND

Rounds a number to a specified number of digits

ROUNDDOWN

Rounds a number down, toward zero

ROUNDUP

Rounds a number up, away from zero

SEC

Returns the secant of an angle