{"id":214423,"date":"2025-05-14T10:06:27","date_gmt":"2025-05-14T10:06:27","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=214423"},"modified":"2025-05-14T10:06:30","modified_gmt":"2025-05-14T10:06:30","slug":"ulem-portal-uni-ulearn-utem-9-games-box-email-hazieque-inbox-hazieque-bin-musa-1313-engineering","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/14\/ulem-portal-uni-ulearn-utem-9-games-box-email-hazieque-inbox-hazieque-bin-musa-1313-engineering\/","title":{"rendered":"UleM | PORTAL UNI\u2026 Ulearn @ UTEM 9 Games Box Email &#8211; HAZIEQUE\u2026 Inbox HAZIEQUE BIN MUSA &#8211; 1313 ENGINEERING"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">UleM | PORTAL UNI\u2026 Ulearn @ UTEM 9 Games Box Email &#8211; HAZIEQUE\u2026 Inbox HAZIEQUE BIN MUSA &#8211; 1313 ENGINEERING MATHEMATICS 1 Question 3 Not yet answered Marked out of 1.00 Generally, the higher the order of interpolation, the more accurate the estimated interpolated value. Secara amnya, semakin tinggi urutan interpolasi semakin tepat anggaran nilai interpolasi. Select one: True \/ Betul Flag question False \/ Salah Previous page Next page<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Correct Answer: False \/ Salah<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">While it might seem intuitive that <strong>higher-order interpolation<\/strong> would always produce more accurate estimates because it uses more data points, this is <strong>not always true<\/strong>. In fact, higher-order interpolation can often lead to <strong>inaccurate or unstable results<\/strong> due to a phenomenon known as <strong>Runge&#8217;s phenomenon<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">What is Interpolation?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Interpolation<\/strong> is a method of estimating unknown values that fall between known data points. For example, if we know the values of a function at certain points, interpolation allows us to estimate the function\u2019s value at intermediate points.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">There are different types of interpolation:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Linear interpolation<\/strong> (1st order)<\/li>\n\n\n\n<li><strong>Quadratic interpolation<\/strong> (2nd order)<\/li>\n\n\n\n<li><strong>Cubic interpolation<\/strong> (3rd order)<\/li>\n\n\n\n<li><strong>Polynomial interpolation<\/strong> of higher orders (4th, 5th, etc.)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">The Problem with High-Order Interpolation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">When we use <strong>high-order polynomials<\/strong> to interpolate data over a wide range, the resulting curve may start to oscillate wildly, especially near the edges of the interval. This erratic behavior is called <strong>Runge\u2019s phenomenon<\/strong>, and it can lead to <strong>poor approximations<\/strong>, even though more data points and higher-degree polynomials are being used.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Additionally:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>High-order interpolation is more sensitive to <strong>small errors<\/strong> in the data.<\/li>\n\n\n\n<li>It increases the risk of <strong>overfitting<\/strong>, where the interpolation curve fits the known data points perfectly but fails to generalize well.<\/li>\n\n\n\n<li>The computation becomes <strong>more complex and less stable<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Practical Approach<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In engineering and numerical analysis, <strong>piecewise interpolation<\/strong> such as <strong>splines (e.g., cubic splines)<\/strong> is often preferred. Splines use low-degree polynomials over small intervals to avoid the instability of high-degree polynomial interpolation.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Although higher-order interpolation uses more data and might seem more accurate, <strong>it does not guarantee better results<\/strong>. For many practical applications, <strong>lower-order or piecewise interpolation<\/strong> provides <strong>more reliable and stable estimates<\/strong>. Therefore, the statement is <strong>False<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>UleM | PORTAL UNI\u2026 Ulearn @ UTEM 9 Games Box Email &#8211; HAZIEQUE\u2026 Inbox HAZIEQUE BIN MUSA &#8211; 1313 ENGINEERING MATHEMATICS 1 Question 3 Not yet answered Marked out of 1.00 Generally, the higher the order of interpolation, the more accurate the estimated interpolated value. Secara amnya, semakin tinggi urutan interpolasi semakin tepat anggaran nilai [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-214423","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214423","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=214423"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214423\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=214423"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=214423"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=214423"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}