Finding error in following difference table?

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
0
down vote

favorite












I've been trying to solve a question on my book on finding error in the following difference table:



enter image description here



My teacher told me to expand the difference table until I find the proper Binomial coefficients, hence I've expanded the difference table to y5.



According to my solution, the error is originating from 6th entry of the table.
In the y5 column, I am using Binomial factors to find the error.



Error = Largest value in a column / Corresponding coefficient of ε in that column



Error = $.095/4 = 0.02375$



Since my teacher told me that the error will always be subtracted from orginal entry



Corrected Value = $ 0.589 - 0.02375 = 0.56525 $



but in my book, the answer is: $0.598$



Where am I missing?







share|cite|improve this question


























    up vote
    0
    down vote

    favorite












    I've been trying to solve a question on my book on finding error in the following difference table:



    enter image description here



    My teacher told me to expand the difference table until I find the proper Binomial coefficients, hence I've expanded the difference table to y5.



    According to my solution, the error is originating from 6th entry of the table.
    In the y5 column, I am using Binomial factors to find the error.



    Error = Largest value in a column / Corresponding coefficient of ε in that column



    Error = $.095/4 = 0.02375$



    Since my teacher told me that the error will always be subtracted from orginal entry



    Corrected Value = $ 0.589 - 0.02375 = 0.56525 $



    but in my book, the answer is: $0.598$



    Where am I missing?







    share|cite|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I've been trying to solve a question on my book on finding error in the following difference table:



      enter image description here



      My teacher told me to expand the difference table until I find the proper Binomial coefficients, hence I've expanded the difference table to y5.



      According to my solution, the error is originating from 6th entry of the table.
      In the y5 column, I am using Binomial factors to find the error.



      Error = Largest value in a column / Corresponding coefficient of ε in that column



      Error = $.095/4 = 0.02375$



      Since my teacher told me that the error will always be subtracted from orginal entry



      Corrected Value = $ 0.589 - 0.02375 = 0.56525 $



      but in my book, the answer is: $0.598$



      Where am I missing?







      share|cite|improve this question














      I've been trying to solve a question on my book on finding error in the following difference table:



      enter image description here



      My teacher told me to expand the difference table until I find the proper Binomial coefficients, hence I've expanded the difference table to y5.



      According to my solution, the error is originating from 6th entry of the table.
      In the y5 column, I am using Binomial factors to find the error.



      Error = Largest value in a column / Corresponding coefficient of ε in that column



      Error = $.095/4 = 0.02375$



      Since my teacher told me that the error will always be subtracted from orginal entry



      Corrected Value = $ 0.589 - 0.02375 = 0.56525 $



      but in my book, the answer is: $0.598$



      Where am I missing?









      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 18 '16 at 4:27

























      asked Dec 17 '16 at 14:21









      HQuser

      142112




      142112




















          1 Answer
          1






          active

          oldest

          votes

















          up vote
          0
          down vote













          The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
          So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$






          share|cite|improve this answer






















            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: "69"
            ;
            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',
            convertImagesToLinks: true,
            noModals: false,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: 10,
            bindNavPrevention: true,
            postfix: "",
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            );



            );








             

            draft saved


            draft discarded


















            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2062307%2ffinding-error-in-following-difference-table%23new-answer', 'question_page');

            );

            Post as a guest






























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            0
            down vote













            The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
            So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$






            share|cite|improve this answer


























              up vote
              0
              down vote













              The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
              So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$






              share|cite|improve this answer
























                up vote
                0
                down vote










                up vote
                0
                down vote









                The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
                So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$






                share|cite|improve this answer














                The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
                So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$







                share|cite|improve this answer














                share|cite|improve this answer



                share|cite|improve this answer








                edited Feb 11 at 7:06









                mucciolo

                1,9741819




                1,9741819










                answered Feb 11 at 6:07









                bharat dubey

                1




                1






















                     

                    draft saved


                    draft discarded


























                     


                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function ()
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2062307%2ffinding-error-in-following-difference-table%23new-answer', 'question_page');

                    );

                    Post as a guest













































































                    這個網誌中的熱門文章

                    How to combine Bézier curves to a surface?

                    Why am i infinitely getting the same tweet with the Twitter Search API?

                    Is there any way to eliminate the singular point to solve this integral by hand or by approximations?