Linearity Error Calculation
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the estimate from a scatter plot Compute the standard error of the estimate based on errors of prediction Compute the standard error using Pearson's correlation Estimate the standard error of the estimate based on a sample Figure 1 shows two how to calculate linearity error in excel regression examples. You can see that in Graph A, the points are closer to linearity error definition the line than they are in Graph B. Therefore, the predictions in Graph A are more accurate than in Graph B. Figure how to calculate linearity in excel 1. Regressions differing in accuracy of prediction. The standard error of the estimate is a measure of the accuracy of predictions. Recall that the regression line is the line that minimizes the sum of squared deviations
Linearity Calculation Formula
of prediction (also called the sum of squares error). The standard error of the estimate is closely related to this quantity and is defined below: where σest is the standard error of the estimate, Y is an actual score, Y' is a predicted score, and N is the number of pairs of scores. The numerator is the sum of squared differences between the actual scores and the predicted scores. Note the similarity linearity error excel of the formula for σest to the formula for σ.  It turns out that σest is the standard deviation of the errors of prediction (each Y - Y' is an error of prediction). Assume the data in Table 1 are the data from a population of five X, Y pairs. Table 1. Example data. X Y Y' Y-Y' (Y-Y')2 1.00 1.00 1.210 -0.210 0.044 2.00 2.00 1.635 0.365 0.133 3.00 1.30 2.060 -0.760 0.578 4.00 3.75 2.485 1.265 1.600 5.00 2.25 2.910 -0.660 0.436 Sum 15.00 10.30 10.30 0.000 2.791 The last column shows that the sum of the squared errors of prediction is 2.791. Therefore, the standard error of the estimate is There is a version of the formula for the standard error in terms of Pearson's correlation: where ρ is the population value of Pearson's correlation and SSY is For the data in Table 1, μy = 2.06, SSY = 4.597 and ρ= 0.6268. Therefore, which is the same value computed previously. Similar formulas are used when the standard error of the estimate is computed from a sample rather than a population. The only difference is that the denominator is N-2 rather than N. The reason N-2 is used rather than N-1 is that t
to Thread Search Forums Recent Posts Today's Posts 1Next > Nov 11, 2009 #1 mafrasm Thread Starter New Member Nov 11, 2009 6 0 considering below figure (attachment) plz can any body tell me how to derive equation relating how to calculate linearity in method validation Vo,X (i think it can be done using mesh equations..but im not sure with it..)
Linearity Calculation In Hplc
and derive the relation for linearity error and the maximum linearity error percentage...advance thanks......... Attached Files: Doc1.doc File size: 24.5 KB Views: 31
Linearity Calculation Worksheet Xls
#1 Like Reply Nov 11, 2009 #2 mafrasm Thread Starter New Member Nov 11, 2009 6 0 plz can any body help me regarding above post..... #2 Like Reply Nov 11, 2009 #3 t_n_k AAC Fanatic! Mar http://onlinestatbook.com/2/regression/accuracy.html 6, 2009 5,448 782 If X is a distance measurement you can't solve the problem as you have presented it. Suppose the total resistance along the potentiometer body is Rp - which is the missing information. The positional resistance is then So the voltage measured at X would be where If the meter resistance were infinite than you would have an ideal case in which So the non-linearity you seek to quantify is the deviation from the actual http://forum.allaboutcircuits.com/threads/what-does-it-mean-by-linearity-error-maximum-linearity-error-percentage.30052/ value of Vx measured, taking account of the meter loading due to finite meter resistance (Rm), versus the ideal value of Vx measured with infinite meter resistance. #3 Like Reply Nov 12, 2009 #4 mafrasm Thread Starter New Member Nov 11, 2009 6 0 thank you very much! actually earlier i was wondering, what does it mean by linearity error? and now i understood its , simply "the error caused due to the presence of the measuring instrument in the system and the deviation of its properties from ideal case of the measuring instrument." or (error caused due to presence of non ideal measuring instrument in the cicuit) ie: in this case the error of the reading "resistance Rx",due to the presence of "voltmeter resistance Rm" in parallel with Rx... #4 Like Reply Show Ignored Content 1Next > Loading... Related Forum Posts: What does it truly mean of 40mA draw Posted by Eric So in forum: General Electronics Chat Replies: 5 Views: 155 what does it mean if Posted by Lightfire in forum: Math Replies: 13 Views: 3,157 what is integral non linearity and how much it should be in the device microcontrolle Posted by narnekarthik in forum: Embedded Systems and Microcontrollers Replies: 2 Views: 1,504 You May Also Like: Introduction to the Conversion of Flip-Flops This article describes the steps necessary to convert a given flip-flop into a de
Linear Approximations... If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above http://www.freemathhelp.com/forum/threads/82005-Computing-Percent-Error-in-Linear-Approximations to proceed. To start viewing messages, select the forum that you want to visit from the selection below. Results 1 to 4 of 4 Thread: Computing Percent Error in Linear Approximations... Thread Tools Show Printable Version Email this Page… Subscribe to this Thread… Search Thread Advanced Search Display Linear Mode Switch to Hybrid Mode Switch to Threaded Mode 07-02-2013,02:35 PM #1 StintedVisions View Profile View Forum Posts Private Message New linearity error Member Join Date Jul 2013 Posts 11 Computing Percent Error in Linear Approximations... We went over this section last week and the professor only covered half of it. I've got most of the answers except how to calculate the percent error. The question is: Use the following function to complete sections a-d. f(x)= x / x+2 ; a=1; f(1.1) I've gotten so far as to a) f(x)~L(x)=(1/3)+(2/9)(x-1) b) was graphing, how to calculate I got the graph correct c) f(1.1)~.356 everything above was correct, however part d) is computing the percent error. The formula is given 100*|(approx-exact)/exact|, I tried to compute it anyway and what I got and what the correct answer was were very different. Can anyone point me in the proper direction? Reply With Quote 07-02-2013,03:00 PM #2 Subhotosh Khan View Profile View Forum Posts Private Message Elite Member Join Date Jun 2007 Posts 15,778 Originally Posted by StintedVisions We went over this section last week and the professor only covered half of it. I've got most of the answers except how to calculate the percent error. The question is: Use the following function to complete sections a-d. f(x)= x / x+2 ; a=1; f(1.1) I've gotten so far as to a) f(x)~L(x)=(1/3)+(2/9)(x-1) b) was graphing, I got the graph correct c) f(1.1)~.356 everything above was correct, however part d) is computing the percent error. The formula is given 100*|(approx-exact)/exact|, I tried to compute it anyway and what I got and what the correct answer was were very different. Can anyone point me in the proper direction? Given equation is correct. Please show your work and answer - and we will be able to tell then if and where you
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