We often need to measure standard deviation in statistical datasets. We can calculate the standard deviation of the y intercept in Excel. In this article, we have discussed two easy steps for how to calculate the standard deviation of the y intercept in Excel.

**What Is the Standard Deviation of y Intercept?**

The concept of **standard deviation** is typically used to describe the spread or variability of a set of data points around a central value or average. It is a statistical calculation that gives an idea of how spread out the data is from the average value. In a linear regression model, the **y-intercept** represents the predicted value of the **dependent variable (y**) when the **independent variable (x**) is equal to zero. We can calculate the **standard deviation **of the **y-intercept** by using different functions in Excel.

**How to Calculate Standard Deviation of y Intercept in Excel: With Easy Steps**

There are two steps to calculating the **standard deviation** of the** y-intercept**. At first, we will calculate **y intercepts** from the dataset. Then, we will look for the **standard deviation** of the** y-intercepts**.

Here in the dataset, we have the **Sales Quantity** (independent variable or **x value**) and the **Profit** (dependent variable or **y value**) of a company for the entire year. We will divide the annual year into three quarters (**Quarter 1**, **Quarter 2**, and **Quarter 3**). From these three quarters, we will find three **y-intercepts,** respectively. Then, we will measure the **standard deviation** of the **y-intercepts**.

**Step 1: Find y Intercept to Calculate Standard Deviation in Excel**

In the first step, we need to find the **y-intercept **of the given dataset. We can use various functions to find the** y-intercept** in Excel.

We can find the** y-intercept** by simply using the **INTERCEPT function** in Excel. Follow the steps below:

- Select a cell where you want to see the
**y-intercept**. Here, we are selecting cell**C19**to see the**y-intercept**for the first quarter. Enter the following formula into the cell:

`=INTERCEPT(D5:D8,C5:C8)`

- Press
**Enter**and you will see the**y-intercept**for the first quarter in cell**C19**. Now enter the following formulae in cells**C20**and**C21**to get the**y-intercepts**for the second and third quarters respectively:

`=INTERCEPT(D9:D12,C9:C12)`

`=INTERCEPT(D13:D16,C13:C16)`

**2. Combine AVERAGE and SLOPE Functions**

We can combine the **AVERAGE** and **SLOPE** functions to calculate the **y intercept**. Just follow these steps:

- Select cell
**C19**to see the**y-intercept**for the first quarter. Enter the following formula into the cell:

`=AVERAGE(D5:D8)-SLOPE(D5:D8,C5:C8)*AVERAGE(C5:C8)`

__Formula Breakdown__

**AVERAGE(D5:D8):**In the first portion we have used the**AVERAGE**This function will take the values of cells**D5:D8**and will calculate the arithmetic mean or average of these values accordingly.**SLOPE(D5:D8,C5:C8):**In this portion, the**SLOPE**function takes two inputs. The first input is the range of cells that represent**y values**and the second input is the range of cells that represent**x values**. This function returns the slope of the input data points.**AVERAGE(D5:D8)-SLOPE(D5:D8,C5:C8)*AVERAGE(C5:C8):**This whole formula calculates the**y-intercept**of the input data points.

- Press
**Enter**and you will see the**y-intercept**for the first quarter in cell**C19**. Now enter the following formulae in cells**C20**and**C21**to get the y-intercepts for the second and third quarters respectively:

`=AVERAGE(D9:D12)-SLOPE(D9:D12,C9:C12)*AVERAGE(C9:C12)`

`=AVERAGE(D13:D16)-SLOPE(D13:D16,C13:C16)*AVERAGE(C13:C16)`

**3. Use the LINEST Function**

We can use the** LINEST function** to find the value of the **y-intercept** in Excel. The **LINEST **is an array formula. So, it returns multiple outputs, and each output signifies different values. Just follow the steps below:

- Select cell
**C19**and enter the formula into the cell:

`=LINEST(D5:D8,C5:C8)`

- Press
**Enter,**and the**LINEST**function will return two values in two consecutive cells. The first one is the slope and the second one is the**y-intercept**. So, the**y-intercept**for the first quarter will be in cell**D19**. - Now enter the following formulae in cells
**C20**and**C21**. You will get the y-intercepts for the second and third quarters in cells**D20**and**D21**respectively:

`=LINEST(D9:D12,C9:C12)`

`=LINEST(D13:D16,C13:C16)`

**Read More:** How to Calculate Population Standard Deviation in Excel

**Step 2: Using STDEV and STDEV.S Functions to Calculate Standard Deviation of y Intercept in Excel **

We can use multiple functions to calculate the **standard deviation** in Excel. The **STDEV **or **STDEV.S **functions are used to calculate the standard deviation of a sample dataset. We can also use the **STDEV.P** function to calculate the standard deviation of an entire population. As we have a small sample data set, we can use the **STDEV **or **STDEV.S** function to calculate the **standard**Â **deviation** of the **y-intercept**.

**1. Use STDEV Function**

We can use the **STDEV function** to calculate the **standard deviation** of the **y-intercept** in Excel. This formula is compatible with **Excel 2007** and earlier. Follow the steps below:

- Select a cell where you want to see the
**standard deviation**of the**y-intercept**. We are selecting cell**C22**. Enter the formula into the cell:

`=STDEV(C19:C21)`

- Press
**Enter**, and you will see the**standard deviation**of the**y-intercept**in cell**C22**.

**2. Use STDEV.S Function**

We can use the** STDEV.S function** as well to calculate the **standard deviation** of the **y-intercept**. Just follow these steps:

- Select a cell where you want to see the
**standard deviation**of the**y-intercept**. We are selecting cell**C22**. Enter the formula into the cell:

`=STDEV.S(C19:C21)`

- Press
**Enter**, and you will see the**standard deviation**of the**y-intercept**in cell**C22**.

**Read More: **How to Calculate Standard Deviation with IF Conditions in Excel

**Error in Intercept in Excel**

The standard error represents how much the data may deviate from a standard or mean value. We can find the standard error of the **y-intercept** by using the **LINEST function**. The **LINEST function** returns an array of outputs, and you will find a standard error there. You need to follow the steps below:

- Select a cell to enter the formula. We are selecting cell
**E18**:

`=LINEST(D5:D16,C5:C16,TRUE,TRUE)`

- Press
**Enter**and you will see an array of outputs. Cells**B18:C22**represent the output values of cells**E18: F22**. It is visible that the standard error of**y-intercept**is the value in cell**F19**.

**Note:**If you are using an older version of Excel, you need to press

**Ctrl+Shift+Enter**instead of

**Enter**to get the output values.

**Things to Remember**

There are a few things to remember while calculating the **standard deviation** of the **y-intercept** in Excel:

- Use the correct formula. If the data set is a sample dataset, use
**S**and if it is a population dataset useÂ the**STDEV.P****function**. - The
**LINEST**function returns multiple outputs. Carefully choose the value you want from the array of outputs.

**Frequently Asked Questions**

**1. What does a high or low standard deviation mean?**

A high **standard deviation** indicates that the data points are spread out widely from the mean, whereas a low **standard deviation **means that the data points are clustered closely around the mean.

**2. Can the standard deviation be negative?**

No, the **standard deviation** cannot be negative. It is always either a positive number or zero.

**3. Can the standard deviation be greater than the mean?**

Yes, the **standard deviation** can be greater than the mean if the data points are spread out widely from the mean.

**Download Practice Workbook**

You can download the practice workbook while going through this article.

**Conclusion**

In this article, we have demonstrated two easy steps on how to calculate the standard deviation of y intercept in Excel using different functions. This article will allow users to use Excel more efficiently and effectively. Â If you have any questions regarding this essay, feel free to let us know in the comments.

**Related Articles**

- How to Calculate Standard Deviation of a Frequency Distribution in Excel
- Calculate Percentile from Mean and Standard Deviation in Excel
- How to Calculate Uncertainty in Excel

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Hi,

I have a question. I see that you used the “standard error” directly as “standard deviation of the y intercept”. I think they are different terms, so strictly speaking, are they supposed to be different values?

Thanks.

Hello

Z LThank you very much for your response. We have modified this article and introduced some new statistical concepts and functions. Would you please go through it again?

If you have any more questions, let us know in the comment section.

Thanks

Md. Abu Sina Ibne Albaruni

Team ExcelDemy