You can use the **LINEST** function to fit a regression model in Excel.

This function uses the following basic syntax:

LINEST(known_y's, known_x's, const, stats)

where:

**known_y’s**: A column of values for the response variable**known_x’s**: One or more columns of values for the predictor variables**const**: TRUE = calculate intercept normally, FALSE = force intercept to be zero**stats**: TRUE = calculate additional regression statistics, FALSE = only calculate coefficients

The following example shows how to interpret the output of the **LINEST** function in practice.

**Example: How to Interpret LINEST Output in Excel**

Suppose we have the following dataset that contains one predictor variable (x) and one response variable (y):

We can type the following formula into cell **D1** to perform simple linear regression with this dataset:

=LINEST(A2:A15, B2:B15, TRUE, TRUE)

The output from the **LINEST** function contains the coefficients of the regression model along with several additional statistics:

The following screenshot provides an explanation of each value in the output:

From the output we can see:

- The coefficient for β
_{0}is**3.52169**. - The coefficient for β
_{1}is**0.693717**.

Using these values, we can write the equation for this simple regression model:

**y = 3.52169 + 0.693717(x)**

We interpret this to mean that each additional one unit increase in the predictor variable, x, is associated with an average increase of **0.693717** in the response variable, y.

We interpret the intercept term to mean that when x is equal to zero, the average value of y is **3.52169**.

We can also see:

- The R-squared value of the model is
**0.888**.

We interpret this to mean that the predictor variable is able to explain **88.8%** of the variation in the response variable of the model.

**Related:** What is a Good R-squared Value?

**Additional Resources**

The following tutorials provide additional information on regression in Excel:

How to Interpret P-Values in Regression Output in Excel

How to Add a Regression Line to a Scatterplot in Excel

How to Perform Polynomial Regression in Excel