Covariance as inner product












3












$begingroup$


Why is covariance considered as inner product if there is no projection of one vector onto another?



Right now I perceive this as just a multiplication of $x$ segment of vector($x_i - bar{x}$) and $y$ segment($y_i - bar{y}$) of the same vector in order to understand direction of relationship.










share|improve this question











$endgroup$

















    3












    $begingroup$


    Why is covariance considered as inner product if there is no projection of one vector onto another?



    Right now I perceive this as just a multiplication of $x$ segment of vector($x_i - bar{x}$) and $y$ segment($y_i - bar{y}$) of the same vector in order to understand direction of relationship.










    share|improve this question











    $endgroup$















      3












      3








      3


      2



      $begingroup$


      Why is covariance considered as inner product if there is no projection of one vector onto another?



      Right now I perceive this as just a multiplication of $x$ segment of vector($x_i - bar{x}$) and $y$ segment($y_i - bar{y}$) of the same vector in order to understand direction of relationship.










      share|improve this question











      $endgroup$




      Why is covariance considered as inner product if there is no projection of one vector onto another?



      Right now I perceive this as just a multiplication of $x$ segment of vector($x_i - bar{x}$) and $y$ segment($y_i - bar{y}$) of the same vector in order to understand direction of relationship.







      statistics data-analysis






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 6 hours ago









      Stephen Rauch

      1,52551330




      1,52551330










      asked 7 hours ago









      user641597user641597

      233




      233






















          0






          active

          oldest

          votes












          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "557"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: false,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: null,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f48885%2fcovariance-as-inner-product%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Data Science Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f48885%2fcovariance-as-inner-product%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Aikido

          Tivadar Csontváry Kosztka

          Metroo de Marsejlo