Where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept. The equation of a linear relationship is y = mx + b. The trendline equation is used to define this line. Depending on the nature of a scatter plot, this line should have the shortest distance between each data point and the line itself. The linear trendline equation is a linear relationship that describes the line that best fits a set of numerical data points. However, this article focuses on the linear trendline.
There are different types of trendlines depending on the chart type and purpose of the trendline.
How to Use Excel to Graph an Equation or Function. How To Add Equation To Graph In Google Sheets?. Slope of the linear regression line through the data points in A3:A9 and B3:B9. If you need to, you can adjust the column widths to see all the data. For formulas to show results, select them, press F2, and then press Enter. The LINEST algorithm is designed to return reasonable results for collinear data, and in this case at least one answer can be found.Ĭopy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. The SLOPE and INTERCEPT algorithm is designed to look for one and only one answer, and in this case there can be more than one answer. SLOPE and INTERCEPT return a #DIV/0! error. For example, if the data points of the known_y's argument are 0 and the data points of the known_x's argument are 1: The difference between these algorithms can lead to different results when data is undetermined and collinear. The underlying algorithm used in the SLOPE and INTERCEPT functions is different than the underlying algorithm used in the LINEST function. Where x and y are the sample means AVERAGE(known_x’s) and AVERAGE(known_y’s). The equation for the slope of the regression line is: If known_y's and known_x's are empty or have a different number of data points, SLOPE returns the #N/A error value. 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. The arguments must be either numbers or names, arrays, or references that contain numbers. An array or cell range of numeric dependent data points. The SLOPE function syntax has the following arguments: 
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. Returns the slope of the linear regression line through data points in known_y's and known_x's. This article describes the formula syntax and usage of the SLOPE function in Microsoft Excel.
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