{"id":16118,"date":"2023-07-27T09:33:24","date_gmt":"2023-07-27T09:33:24","guid":{"rendered":"https:\/\/officetuts.net\/excel\/?p=16118"},"modified":"2024-02-19T14:52:07","modified_gmt":"2024-02-19T14:52:07","slug":"linear-interpolation-in-excel","status":"publish","type":"post","link":"https:\/\/officetuts.net\/excel\/formulas\/linear-interpolation-in-excel\/","title":{"rendered":"Linear Interpolation in Excel"},"content":{"rendered":"\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-d06caeb7-8742-48f6-ac80-29e3090462a7\" href=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/Linear-Interpolation-in-Excel.xlsx\">Linear-Interpolation-in-Excel<\/a><a href=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/Linear-Interpolation-in-Excel.xlsx\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-d06caeb7-8742-48f6-ac80-29e3090462a7\">Download File<\/a><\/div>\n\n\n\n<p>If we talk about <strong>linear interpolation<\/strong> in Excel, we first need to understand what this term is. <strong>Linear interpolation <\/strong>is a method from mathematics that serves us to <strong>estimate values between two data points<\/strong>, if the data points are familiar.<\/p>\n\n\n\n<p>In Excel, we can use linear interpolation with functions and formulas. In the example below, we will show how to do it.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Linear Interpolation in Excel<\/h2>\n\n\n\n<p>For our example, we will have <strong>two data points: (xy, y1) and (x2,y2).<\/strong> Our job will be to find the <strong>y-value<\/strong> corresponding to a certain <strong>x-value<\/strong>, that is located <strong>between x1 and x2<\/strong>.<\/p>\n\n\n\n<p>To explain better, we will have the following table:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"194\" height=\"146\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/word-image-16118-1.png\" alt=\"\" class=\"wp-image-16119\"\/><\/figure>\n\n\n\n<p>By looking at the table below, we could assume that following the logic of linear interpolation, the <strong>y2 number, located in cell A5 will be 20<\/strong> since the <strong>progression of x is 2<\/strong>, and the <strong>progression of y is 10<\/strong>. To confirm this by formula, and generally to find the way to calculate it automatically, we will use the following formula in <strong>cell B5<\/strong>:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>=FORECAST(A5, B2:B3, A2:A3)<\/code><\/pre>\n\n\n\n<p><strong>FORECAST formula has three parameters: x, known_ys, and known_xs<\/strong><\/p>\n\n\n\n<p>In our case, <strong>x is number 4, known_ys are 10 and 30, and known_xs are numbers 2 and 6<\/strong>.<\/p>\n\n\n\n<p>This is the result we will end up with:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"548\" height=\"241\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/word-image-16118-2.png\" alt=\"\" class=\"wp-image-16120\" srcset=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/word-image-16118-2.png 548w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/word-image-16118-2-300x132.png 300w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><\/figure>\n\n\n\n<p>Instead of the <strong>FORECAST formula<\/strong>, we could also use <strong>INTERCEPT<\/strong>. Our formula in <strong>cell B6<\/strong> will be:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>=(A5-A2)*(B3-B2)\/(A3-A2)+B2<\/code><\/pre>\n\n\n\n<p>To break down this formula:<\/p>\n\n\n\n<ul>\n<li><strong>A5-A2 calculates<\/strong> the difference between the desired x-value and the lower known x-value.<\/li>\n\n\n\n<li><strong>B3-B2 calculates<\/strong> the difference between the upper known y-value and the lower known y-value.<\/li>\n\n\n\n<li><strong>A3-A2 calculates<\/strong> the difference between the upper known x-value and the lower known x-value.<\/li>\n<\/ul>\n\n\n\n<p>This formula then <strong>multiplies the first two differences<\/strong> that we have and <strong>divides this result by the third difference<\/strong> in order to find the slope of the line connecting our two data points.<\/p>\n\n\n\n<p>In the end, the formula adds the result to the <strong>lower known y-value<\/strong> to find the <strong>interpolated y-value<\/strong> for the <strong>given x-value<\/strong>.<\/p>\n\n\n\n<p>We will get the <strong>same result<\/strong> using this formula, as we did with <strong>FORECAST<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"544\" height=\"317\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/word-image-16118-3.png\" alt=\"\" class=\"wp-image-16121\" srcset=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/word-image-16118-3.png 544w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/word-image-16118-3-300x175.png 300w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/07\/word-image-16118-3-542x317.png 542w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><\/figure>\n\n\n\n<p>Just remember- linear interpolation <strong>demands a straight-line relationship<\/strong> between the data points. If the data points are not linear, then we should use other interpolation methods.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If we talk about linear interpolation in Excel, we first need to understand what this term is. Linear interpolation is a method from&#8230;<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23],"tags":[170],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Linear Interpolation in Excel<\/title>\n<meta name=\"description\" content=\"Download the Linear-Interpolation-in-Excel file to understand how to estimate values between data points using linear interpolation in Excel.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/officetuts.net\/excel\/formulas\/linear-interpolation-in-excel\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Linear 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