Advanced Excel Statistical - SLOPE Function



Description

The SLOPE function returns the slope of the linear regression line through data points in known_y's and known_x's. The slope is the vertical distance divided by the horizontal distance between any two points on the line, which is the rate of change along the regression line.

Syntax

SLOPE (known_y's, known_x's)

Arguments

Argument Description Required/ Optional
Known_y's An array or cell range of numeric dependent data points. Required
Known_x's The set of independent data points. Required

Notes

  • The equation for the slope of the regression line is −

    $$b=\frac{\sum \left ( x-\bar{x} \right )\left ( y-\bar{y} \right )}{\sum \left ( x-\bar{x} \right )^2}$$

  • Where x and y are the sample means AVERAGE (known_x’s) and AVERAGE (known_y’s).The arguments must be either numbers or names, arrays, or references that contain numbers.

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

  • If known_y's and known_x's have a different number of data points, SLOPE returns the #N/A error value.

  • If known_y's and known_x's are empty, SLOPE returns the #DIV/0! error value.

  • If the variance of the supplied known_x's evaluates to zero, SLOPE returns the #DIV/0! error value.

Applicability

Excel 2007, Excel 2010, Excel 2013, Excel 2016

Example

Slope Function
advanced_excel_statistical_functions.htm
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