How to Calculate Standard Error of Regression Slope in Excel

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This article will illustrate how to calculate the standard error of regression slope in Excel. The standard error is the standard deviation of an evaluation. Generally, the standard error of the regression slope line refers to how certain variables are scattered from the mean value. The average variance between your observed values and the regression line is the standard error of the regression slope.

In this article, we will demonstrate 2 effective ways to calculate the standard error of regression slope in Excel. The smaller the value of standard error will be, the closer our values will be to the regression line. For both methods of this article, we will use the same data set.


1. Calculating the Standard Error of the Regression Slope with a Scatter Chart in Excel

First and foremost, calculate the standard error of regression slope in Excel with a scatter chart. For instance, we want to calculate standard error from the following dataset. The dataset contains the price and quantity of some products.

Calculate Standard Error of Regression Slope with Scatter Chart in Excel

Let’s see the steps to calculate the standard error.

STEPS:

  • To begin with, select cell (B4:C9).
  • In addition, go to the Insert tab.
  • Then, click on the ‘Insert Scatter (X, Y) or Bubble Chart’ Icon. Select the first scatter chart.

Calculate Standard Error of Regression Slope with Scatter Chart in Excel

  • A chart like the following image will appear. We can see data points on the chart.
  • Next, right-click on any data point and select the option ‘Add Trendline’.

Calculate Standard Error of Regression Slope with Scatter Chart in Excel

  • The above action will insert a trendline in the graph.
  • Furthermore, click on the trendline.
  • Go to the Trendline Options.
  • Check the options ‘Display Equation on chart’ and ‘Display R-squared value on chart’.

Calculate Standard Error of Regression Slope with Scatter Chart in Excel

  • Moreover, select the chart.
  • Then, go to Chart Design > Add Chart Element > Axis Title.
  • Set titles of the axis using the option ‘Primary Horizontal’ and ‘Primary Vertical’.

Calculate Standard Error of Regression Slope with Scatter Chart in Excel

  • After setting the axis names our table will look like the following image.

Calculate Standard Error of Regression Slope with Scatter Chart in Excel

  • Afterward, following the trendline equation insert the below formula in cell D5:
=4.2202*B5 + 122.98
  • Press Enter.
  • So, we get the predicted price from the trendline in cell D5.

  • Now, drag the Fill Handle tool from cell D5 to D9.

  • After that, insert the following formula in cell E5:
=C5-D5
  • Press Enter.
  • So, we get the standard error for the first point in cell E5.

  • Finally, drag the Fill Handle tool from cell E5 to E9.
  • As a result, we get standard errors of regression slope for all the data points.

Read More: How to Calculate Standard Error of Regression in Excel


2. Applying Excel LINEST Function to Calculate Standard Error Along with Uncertainty of Regression Slope

Another method to calculate the standard error of regression slope is to use the LINEST function. The LINEST function in Excel illustrates the relation between independent variables and multiple dependent variables. It returns the result in array form. We will predict the deviation of the Y value from the regression line using the uncertainty of the regression slope. We will use the following dataset to illustrate this method.

Excel LINEST Function to Calculate Standard Error Along with Uncertainty of Regression Slope

Let’s see the steps to perform this method.

STEPS:

  • Firstly, select cells (C11:D12).
  • Secondly, type the following formula in cell C11:
=LINEST(C5:C9,B5:B9,1,1)
  • Don’t press Enter. Hit Ctrl + Shift + Enter since it is an array formula.

Excel LINEST Function to Calculate Standard Error Along with Uncertainty of Regression Slope

  • The above command will give results like the following image.

Excel LINEST Function to Calculate Standard Error Along with Uncertainty of Regression Slope

  • Thirdly, like method-1 we will construct a formula with the value of Slope and Y-Intercept. Insert that formula in cell D5:
=$C$11*B5+$D$11
  • Press Enter.
  • So, we get the predicted price in cell D5.

Excel LINEST Function to Calculate Standard Error Along with Uncertainty of Regression Slope

  • Furthermore, drag the Fill Handle tool from cell D5 to D9.

  • Next, to calculate the standard error insert the following formula in cell E5:
=C5-D5
  • Now, press Enter.

  • Again, drag the Fill Handle tool from cell E5 to E10.
  • Lastly, we get standard errors of regression slope for all the data points.

Read More: How to Calculate Standard Error of Skewness in Excel


Download Practice Workbook

You can download the practice workbook from here.


Conclusion

In conclusion, this tutorial is a complete guide to calculating the standard error of regression slope in Excel. To put your skills to the test, use the practice worksheet that comes with this article. Please leave a comment in the box below if you have any questions. We’ll try to reply to you as soon as possible. In the future, keep an eye on our website for more fascinating Microsoft Excel solutions.


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Mukesh Dipto
Mukesh Dipto

Mukesh Dipto is an excellent marine engineer who loves working with Excel and diving into VBA programming. For him, programming is like a superhero tool that saves time when dealing with data, files, and the internet. His skills go beyond the basics, including Rhino3D, Maxsurf C++, AutoCAD, HTML, CSS, JavaScript, and WordPress. He got his B.Sc in Naval Architecture & Marine Engineering from BUET, and now he's switched gears, working as a content developer. In this role, he... Read Full Bio

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