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The SLOPE function is used to calculate the slope of the linear regression equation, and the INTERCEPT function is used to calculate the intercept of the linear regression equation. If you demand to find only the slope or intercept of the data, there is an alternate method. Look at the image below: SLOPE and INTERCEPT Functions Note: If you need to enter the x value that you want to know its corresponding y value from a cell, you must enter the constant 1 in a cell too. To use the second way for this example, you should type the following formula in an Excel cell and then press Ctrl+Shift+Enter. The second way is to combine the LINEST function with the SUM function. The first way is to put the slope and intercept that the LINEST function returns in the line equation. If you need to calculate an unknown y value corresponding to an x value, you will have two choices. Note2: If you do not enter the function as an array or select only one cell and type the formula, the function will only return the slope coefficient (m). In this case, you must select a range of two cells in one row. Note1: If you do not need the statistical parameters, just put zero for the last argument. The order of data the LINEST function returns is as follows: m (the coefficient of slope)

Select a range consisting of 2 rows and 5 columns.

In this example, we are going to calculate the slope, the intercept, and the statistical values for a dataset, including x and y values. Now let’s see how the LINEST function works for simple and linear regression: Simple Linear Regression Since the LINEST function returns an array of outputs, it must be entered as an array formula using Ctrl+Shift+Enter shortcut. (It is also called the uncertainty of intercept)Note: If the variable is zero, returns #N/A error The standard error values for slope coefficients (m i) of independent variables (x i) ( It is also called the uncertainty of slope) The intercept of the line (the constant value of y when x=0) The LINEST function returns an array of the statistical parameters which, includes: Note: For the logical arguments, you can type TRUE or FALSE, too. 0 is FALSE and means that Excel will not calculate the statistical parameters. 1 is TRUE and means that Excel will return the statistical parameters. If omitted, Excel will consider it as zero. 0 is FALSE and means that b should be considered TRUE. 1 is TRUE and means that b should be calculated normally. : This is the function’s logical argument, which says how the intercept should be treated (optional). If omitted, Excel assumes the dataset is with the same size as y values. : The independent values of the line equation (x values).

Known_y’s: The dependent values of the line equation (y values). The syntax for the LINEST function in Excel is as follows: The LINEST function uses the least square method to do linear regression calculations. In Excel, the LINEST function is used to do linear regression. Y=m 1x 1+ m 2x 2+…+m nx n+b LINEST Function The equation for multiple linear regression is: In this equation, m is called “slope” and b is called “intercept.” The equation for the simple linear equation is: If we have one independent variable, the regression is called simple linear regression, but when we have more than one independent variable, it is called multiple linear regression.

The use of linear regression is to estimate the value of the dependent variable using the independent variable and the regression equation. Introduction to Linear RegressionĪs mentioned above, in linear regression, we have an independent variable and a dependent variable, so we seek to examine the relationship between the dependent and independent variables. In this blog, we are going to introduce the LINEST function and discuss how it works. Among Excel statistical functions, the LINEST function is used for linear regression calculations. In statistical modeling, regression means studying the relationship between a variable (dependent variable) and one or more variables (independent variable).