{"id":4981,"date":"2023-06-20T13:36:07","date_gmt":"2023-06-20T11:36:07","guid":{"rendered":"https:\/\/ecodelmare.it\/2023\/06\/20\/how-to-add-trend-line-in-excel\/"},"modified":"2023-06-20T13:36:07","modified_gmt":"2023-06-20T11:36:07","slug":"how-to-add-trend-line-in-excel","status":"publish","type":"post","link":"https:\/\/ecodelmare.it\/en\/2023\/06\/20\/how-to-add-trend-line-in-excel\/","title":{"rendered":"How to Add Trend Line in Excel"},"content":{"rendered":"<p>Click on the small triangle icon that appears when you click on the plus icon of the chart element. It will show you all the trendlines that you can use in Excel. If the R-squared value is low, you can try other trendline types to see if they&#8217;re a better fit for your data. In the following image, a trendline has been added to the Tea and Coffee data series. If you want to apply a trendline to only one of the data series, right-click on the desired item.<\/p>\n<h2>Can I add a trendline to other types of graphs, like bar charts or line charts?<\/h2>\n<p>You can customize the look of the trendline in many ways to make the trendline easily readable, informative, and professional. You can make a visual guess of the forecasted values by looking at the graph itself. Double-click on the trendline that you wish <a href=\"https:\/\/www.1investing.in\/understanding-trendlines-in-excel-charts-and\/\">trend lines in excel<\/a> to extend upwards or downwards. Repeat the step again for the third trendline, like the Two Period Moving Average. Click any of the trendline styles to show the Add Trendline dialog again.<\/p>\n<p>However, Excel shall show the Add Trendline prompt so you can choose which data series you\u2019d like to create the trendline for. Linear trend lines are straightforward, while exponential and polynomial lines can reveal more complex trends. We\u2019ll utilize a dataset comprising months and their corresponding sales over a span of 9 months. A trendline, often called &#8220;the best-fit line,&#8221; is a line that shows the trend of the data.<\/p>\n<p>The default trendline does not have any special effects on the trend line. Therefore, we need to format the trend line to make it more appealing. The power trend line is very similar to the exponential curve, only it has a more symmetrical arc. It is commonly used to plot measurements that increase at a certain rate. An example of a logarithmic trendline may be an inflation rate, which first is getting higher but after a while stabilizes.<\/p>\n<ul>\n<li>Your scatter plot will now display a straight line representing the linear trend in your data.<\/li>\n<li>The polynomial curvilinear trendline works well for large data sets with oscillating values that have more than one rise and fall.<\/li>\n<li>There, you can customize the following attributes of the trendline.<\/li>\n<li>However, Excel shall show the Add Trendline prompt so you can choose which data series you\u2019d like to create the trendline for.<\/li>\n<\/ul>\n<p>For more information, please see Why Excel trendline equation may be wrong. The linear trend line is best to be used with linear data sets when the data points in a chart resemble a straight line. Typically, a linear trendline describes a continuous rise or fall over time.<\/p>\n<p>For example, you can use the Chart Element tool to add a trendline. You can now choose from six different types of Excel trendlines, like Exponential, Linear, Logarithmic, Polynomial, Power, and Moving Average. You\u2019ll see the Add Trendline option in the right-click context menu. In addition to showing past trends, we can use our trendline to forecast future data.<\/p>\n<h2>Method 1 \u2013 Using Sparklines to Insert a Trendline in an Excel Cell<\/h2>\n<p><img decoding=\"async\" class='aligncenter' style='margin-left:auto;margin-right:auto' width=\"609px\" alt=\"trend lines in excel\" 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\" \/><\/p>\n<p>Trendlines serve as valuable tools for investors and traders, offering guidance in business evaluation. If you work with data, chances are you have had to analyze trends to make informed decisions. Microsoft Excel is a powerful tool for data analysis and visualization, and it offers various options to help you understand trends in your data. The only real challenge is to choose the trendline type that best corresponds to the type of data you are analyzing. In this tutorial, you will find the detailed description of all the trendline options available in Excel and when to use them.<\/p>\n<h2>Logarithmic trendline equation and formulas<\/h2>\n<p><img decoding=\"async\" class='aligncenter' style='margin-left:auto;margin-right:auto' width=\"605px\" alt=\"trend lines in excel\" 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\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\" \/><\/p>\n<p>As you have seen in many charts, it shows the overall trend or pattern, or direction from the existing data points. Excel provides the option of plotting the trend line on the chart. When we add this trend line to the chart, it looks like a line chart without any ups and downs. Creating visual interpretations of data is crucial for comprehending trends and making informed decisions.<\/p>\n<p>In this article, I will show you how to add a trendline in Excel charts. Click the arrow next to the &#8220;Trendline&#8221; option to use other trendlines,&nbsp;including Exponential or Moving Average. Also, if you need a custom VBA script to insert trendlines that are specific to your scenario, let me know. However, if you need the exact values, you can back-calculate them from the trendline equation. Now, open the Trendline menu again and choose a different trendline type, like Exponential.<\/p>\n<p>To start the lesson, we will first convert our dataset to a chart. To make your graph even more understandable and easily interpreted, you may want to change the default appearance of a trendline. Or simply double-click the trendline to open the Format Trendline pane. This is the same as the options available from the Chart Elements button and gives the same result.<\/p>\n<h2>Trendline in Excel Using the Chart Elements Tool<\/h2>\n<ul>\n<li>Trendline equation is a formula that mathematically describes the line that best fits the data points.<\/li>\n<li>To predict a trend for the future, you just need to include a set of new x-values in your TREND formula.<\/li>\n<li>Trend lines not only enhance the visual appeal of your charts but also serve as powerful analytical tools, allowing for insights and predictions about your data.<\/li>\n<li>If you wish to automate the process of adding trendlines using a programmatic approach, you can use Excel VBA.<\/li>\n<li>Another quick way to add trendline to an Excel chart is to right-click the data series and then click Add Trendline\u2026.<\/li>\n<\/ul>\n<p>In line charts, column and bar graphs, numeric values are plotted only on the y-axis. The x-axis is represented by a linear series (1, 2, 3,\u2026) regardless of whether the axis labels are numbers or text. When you make a trendline in these charts, Excel uses those assumed x-values in the trendline formula. This section describes the equations that Excel uses for different trendline types. You do not have to build these formulas manually, simply tell Excel to display the trendline equation in a chart. For this, Excel calculates the moving average of the number of periods that you specify (2 by default) and puts those average values as points in the line.<\/p>\n<p>The trendline now includes a forecast of future data for the next month. To explain the procedure, we\u2019ll use the dataset below containing Months and Sales&nbsp;to make a chart, then add a trendline. So next time you\u2019re staring at a sea of numbers, remember to use this handy tool to cut through the noise and see the bigger picture. Datasets with increasing growth are nonlinear and are best modeled by exponential, logarithmic, polynomial, etc. A trendline is commonly used to observe the general trend in your current data as well as project future data movements.<\/p>\n<p>In this example, the R-squared value equals 0.957, which means that the trendline fits about 95% of data values. Microsoft Excel allows adding more than one trendline to a chart. You cannot add a trendline to 3-D or stacked charts, pie, radar and similar visuals. If you plot this data in a line chart or column chart, you will see the data points to be fluctuating \u2013 as in some weeks the visitor numbers decreased as well.<\/p>\n<p>For example, if you do a 3-part moving average, it will show you the trend based on the past three periods. Here is a good article that explains what these trend lines are and when to use these. A trendline in this chart will help you quickly decipher the overall trend (even when there are ups and downs in your data points). You\u2019ll find it in many charts where the overall intent is to see the trend that emerges from the existing data.<\/p>\n<h2>How to Find the Equation of a Trendline in Excel<\/h2>\n<p>There are many formatting options available to you when it comes to trendlines. Another way to add a trendline is to right-click on the series for which you want to insert the trendline and click on the \u2018Add Trendline\u2019 option. In this example, Linear and Moving Average trendlines have been added to the chart. There are different trendlines available, so it&#8217;s a good idea to choose the one that works best with the pattern of your data. A trendline (or line of best fit) is a straight or curved line which visualizes the general direction of the values.<\/p>","protected":false},"excerpt":{"rendered":"<p>Click on the small triangle icon that appears when you click on the plus icon of the chart element. It will show you all the trendlines that you can use in Excel. If the R-squared value is low, you can try other trendline types to see if they&#8217;re a better fit for your data. In [&hellip;]<\/p>","protected":false},"author":2,"featured_media":0,"comment_status":"","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4981","post","type-post","status-publish","format-standard","hentry","category-senza-categoria"],"acf":[],"_links":{"self":[{"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/posts\/4981","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/comments?post=4981"}],"version-history":[{"count":0,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/posts\/4981\/revisions"}],"wp:attachment":[{"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/media?parent=4981"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/categories?post=4981"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/tags?post=4981"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}