# Simple Linear Regression Using Excel

Calculate the coefficients involved in the simple linear regression model using Excel.

You need the Data Analysis functions in Excel in order to calculate the coefficients involved in the simple linear regression.
Check for the "Data Analysis" functions in your excel file; it which should be on the right side of the menu bar. If you do not have it, you may use the steps to install it at Load The Analysis ToolPack in Excel .

Steps to compute the the coefficients involved in the simple linear regression.

Step 1 - Organize the data sets in columns and use labels in the first row such X and Y below to make it easier to interpret the results.

Step 2 - Press "Data" tab and click on "Data Analysis".

Step 3 - Select "regression" and press "OK".

Step 4 - Clear "Input Y Range" , "Input X Range" and "Output Range".

Step 5 - Click in "Input Y Range" and use the mousse to select the column containing the Y values __including the label__.

Step 6 - Click in "Input X Range" and use mousse to select the column containing the X values __including the label__.

Step 7 - Check "Labels".

Step 8 - Check "Output Range" radio button, click inside the small window (1) , click a cell where the results will be displayed (2) and click "OK" (3).

Step 9 - Read results from table.

The results are displayed in a table with many parameters where \( \hat \beta_0 \) is the intercept and equal to \( 3.92091 \) in this example and \( \hat \beta_1 \) is the coefficient of \( x \) and equal to \( 1.02063 \) in this example.

The simple linear regression model is give by: \[ \hat y = \hat \beta_1 x + \hat \beta_0 \]

## More References and links

- Data Analysis in Excel
- Correlation Coefficient Examples with Solutions
- Correlation Problems with Real Life Data
- Load The Analysis ToolPack in Excel