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How to Calculate Correlation in Excel: Step by Guide

Last Updated: 02 Sep, 2024

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Understanding the relationship between two variables is essential in data analysis, and correlation is a powerful statistical tool to measure that relationship. Excel, as a versatile data analysis tool, allows you to calculate correlation easily.

In this article, you will learn the different methods to calculate correlation in Excel, including using built-in functions and data analysis tools. Whether you’re a beginner or an advanced Excel user, this step-by-step guide will help you efficiently analyze the relationships between variables.

How-to-Calculate-Correlation-in-Excel

How to Calculate Correlation in Excel

What is Correlation in Excel?

Correlation measures the strength and direction of the linear relationship between two variables. The correlation coefficient ranges from -1 to 1:

  • +1 indicates a perfect positive correlation, where variables move in the same direction.
  • -1 indicates a perfect negative correlation, where variables move in opposite directions.
  • 0 means no linear relationship exists between the variables.

Understanding the Correlation Coefficient

Discover how the correlation coefficient helps interpret the relationship between variables.

The correlation coefficient quantifies how strongly two variables are related. The closer the coefficient is to 1 or -1, the stronger the relationship:

Positive Correlation: When the coefficient is positive, both variables increase or decrease together.

Negative Correlation: When the coefficient is negative, one variable increases while the other decreases.

No Correlation: A coefficient close to zero suggests no linear relationship between the variables.

What is Correlation Data Analysis in Excel?

It is essential to make sure that your data is well organized in a spreadsheet before using correlation. Each variable should have its own column and each row should represent an observation or data point. You can refer to the below points to prepare your data:

  • Open Excel: After launching Microsoft you can create a new spreadsheet or open an existing sheet that contains the data you want to analyze.
  • Organize your data: Enter the data in appropriate cells, ensuring that each variable has its column, and each row represents an observation.
  • Data Format: Your data should be in numerical format for accurate correlation analysis. If your data is in the non-numeric format then convert it in numeric format.

Excel Correlation Formula

You can also enter the correlation formula yourself, Below is the correlation formula:

equation

where X and Y are measurements, ∑ is the sum, and the X and Y with bars over them indicate the mean value of the measurements.

How to Calculate Correlation in Excel: Step by Step Guide

The value of the correlation coefficient ranges from -1 to +1. The closer the value is to -1 or +1, the strongly both entities are related to one another. If the correlation coefficient comes out to be 0, we say that there is no linear relationship between both entities. Let’s understand this with the help of an example, in which we will calculate the Pearson correlation coefficient using Excel. Suppose, we have records of the height and weight of 10 students of a class which is given as:

Height (in cm) Weight (in Kg)

155

66

178

82

148

62

162

70

165

71

172

74

158

64

152

65

176

80

185

93

We can calculate correlation in Excel using two methods:

Method 1: Using CORREL() Function

Excel has a built-in CORREL() function that can be used for calculating the Pearson correlation coefficient. The basic syntax for CORREL() is given as:

=CORREL(array1, array2) 

Where array1 and array2 are the arrays of records of the first entity and second entity, respectively.

Step 1: We can calculate the Correlation coefficient between both attributes using the formula applied in the A13 cell, i.e.,

=CORREL(A2:A11, B2:B11) 

We pass the first array, Height (in cm) from A2:A11 as the first parameter, and the second array, Weight (in kg) from B2:B11 as the second parameter inside the CORREL() formula.

Calculating-pearson's-correlation

Using the CORREL() function to calculate Pearson’s correlation coefficient

The value obtained after calculating the correlation coefficient comes out to be 0.959232649 which is very close to +1, hence we can derive a conclusion that the height and weight of the student are highly positively correlated to each other. We can likely say if a student is taller then there is a higher chance that the student will be having higher weight as well.

A video is also given below demonstrating all the usage of the CORREL() function to calculate the correlation value.

Method 2: Using the Data Analysis Tool

Step 1: Enable the Data Analysis Tool

Go to the Data tab in the menu bar and select Data Analysis. If you don’t see it, you may need to enable the Analysis ToolPak from Excel Options.

How to Calculate Correlation in Excel

Step 2: Click on the Data Analysis

From the data tab, select the Data Analysis option.

How to Calculate Correlation in Excel

Step 3: Select the Correlation Option

A data analysis tools dialogue box will appear, in the dialogue box select the Correlation option.

How to Calculate Correlation in Excel

Data Analysis dialog box

Step 4: Choose the Input and Output Option

An additional dialogue box for correlation will appear, in the dialogue box first we have to give the input range, so select the entire table. Since our data is grouped by Columns, we will select the Columns option. Also, our data have labels in the first row, therefore we will click the checkbox saying Labels in the first row. We can get output as per our requirement in the current sheet or a new worksheet or a new workbook. We can select the new worksheet option and click the OK button.

How to Calculate Correlation in Excel

Filling all the values inside the correlation dialog box

Step 5: Preview the Result

The output will get automatically generated in the new worksheet.

How to Calculate Correlation in Excel

The correlation table generated using the Data Analysis tool

A video is also given below demonstrating all the above steps given above to calculate the correlation value.

From the new worksheet, we can notice a correlation table will get generated in which we can see our correlation value between height and weight comes out to be 0.959232649, which we also got in using the first method.

Excel correlations are a good place to start when creating a marketing, sales, and spending plan, but they don’t provide the full picture. In order to rapidly assess the correlation between two variables and use this information as a starting point for more in-depth analysis, it is worthwhile to use Excel’s built-in data analysis options.

Creating a Correlation Matrix in Excel

Learn how to create a correlation matrix to analyze multiple variables in a dataset.

A correlation matrix allows you to examine relationships between multiple variables simultaneously:

Step 1: Organize Your Data

Ensure each variable is in a separate column and each observation is in a row.

Step 2: Select the Data Range

Highlight the entire range of data, including column headers.

Step 3: Use the CORREL Function

Go to the Formulas tab, click on More Functions > Statistical > CORREL.

Step 4: Enter the Data Range in the Function Wizard

Select the data ranges for each pair of variables in the CORREL function wizard and click OK.

Step 5: Review the Correlation Matrix

Excel will display the correlation coefficients in a matrix format, allowing you to see how each variable relates to the others.

Benefits of Calculating Correlation in Excel

Understand the advantages of using Excel to calculate correlation for data analysis.

Identify Relationships: Determine if and how strongly variables are related.

Support Decision-Making: Use correlation to make informed decisions in marketing, sales, finance, and other fields.

Visualize Data Trends: Spot trends and patterns in your data quickly.

Tips for Correlation Analysis

  1. Data Cleaning: Make sure that your data is accurate and error-free before performing the correlation analysis. Incorrect or missing data can affect the output.
  2. Sample Size: Correlation analysis is more reliable with larger sample sizes. Smaller sample sizes may lead to less accurate results.
  3. Causation vs. Correlation: Correlation does not imply causation. Even with a strong correlation, it is essential to explore other factors and conduct further research before establishing causation.

Conclusion

Calculating correlation in Excel is an essential skill for anyone involved in data analysis. Whether you use the CORREL function or Excel’s Data Analysis Tool, these methods allow you to quickly assess relationships between variables. Start using these techniques today to gain deeper insights from your data!

FAQs on How to Use Correlation in Excel

What is Correlation in Excel?

Correlation is the measurement of the strength and direction of the relationship between two variables. The correlation coefficient ranges from -1 to 1. A positive correlation indicates the variable that moves in the same direction, while a negative correlation indicates that they move in opposite directions. A correlation coefficient of 0 indicates no linear relationship between the variables.

How to calculate correlation coefficients in Excel?

To calculate the correlation coefficients in Excel, Follow the below steps:

Step 1: Select an empty cell.

Step 2: Enter the formula ‘=CORREL(array1, array2)’, and replace “array1” and “array2” with the ranges of data you want to analyze.

What are the possible values of the correlation coefficient in Excel?

In Excel, the correlation coefficient can range from -1 to 1. A correlation coefficient of -1 means there is a perfect negative correlation between the variables, where one increases while the other decreases. A correlation coefficient of 1 indicates a perfect positive correlation, where both variables increase together.

How to visualize correlation in Excel using a scatter plot?

To visualize the correlation using a scatter plot in Excel, Follow the below steps:

Step 1: Select the data you want to plot.

Step 2: Go to the “Insert tab”, and click on the Scatter in the “charts” group.

Step 3: Choose the scatter plot type as per your requirement.

Step 4: Positive correlations will show data points sloping upward, while negative correlations will show data points sloping downward



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