Find X From Y The confidence band will be interpolated at a given Y to calculate the confidence interval of X. Find Y From X The confidence band will be used to calculate the confidence interval of Y.ġ. If the Calculate 95% Confidence Interval box was checked, the result will be missing values. Note: If the weighting is specified, or there is a fixed parameter, the confidence interval for Find X From Y will not be calculated. Where is the critical t value for (one tail) and n-2 degrees of freedom. The interpolated or extrapolated X with confidence interval is calculated as: If is out of the range of measurement, by extrapolation, the standard deviation in is given by Where is the fitted slope, is number of points, is the sample variance, and and are the mean values of the X and Y data respectively. If is within the range of measurement, by interpolation, the standard deviation in is given by For the specified Y value, the resulting X is. Find X From Y Currently, Origin only supports calculating 95% confidence intervals for non-replicated data. When finding X from Y or Y from X, you can opt to calculate the 95% confidence interval.ġ. You can only find the X values for Y values within the source data range.Īlgorithm for Calculating 95% Confidence Interval Note that the iteration method is used in Find X from Y. These steps are repeated until the difference between y and y' is within some tolerance. Then y and y' are compared to see in which subrange y is located. With the computed y', we can divide the range into two subranges and. Then a new Y value y', which corresponds to X = (xn + xn+1) / 2, is computed. We know the X value should be within the range. For example, the Y value of a given point might fall into the range. For a given Y value, the range containing the Y value is found. Origin first creates a uniform linear curve. It has to calculate the approximate values by iteration. However, if you choose to find X from Y, Origin will not be able to derive an X~Y equation automatically. When finding Y from X, Origin uses the fit parameter values directly in the fitting model, to calculate the Y values. Generally, Find Y from X runs faster than Find X from Y. So you might specify the Number of X Columns as 2 in the Find X from Y branch. For example, in the model, there might be two x values for a given y value. If there are multiple solutions, those values will be added in the extra columns. In the Nonlinear curve fit tool (NLFit), you can specify extra X/Y columns using a drop-down list. In the Linear Fit tool, for instance, a check box turns on FindX/Y output and a second check box allows calculation of 95% LCL and UCL values at FindX/Y values. Enter the Y (or X) values into the first column in the new sheet and the X (or Y) values will be calculated automatically.Ĭontrol over output options varies by fitting tool. The Find X/Y table allows you to obtain either a dependent variable value given an independent variable value, or an independent variable value given a dependent variable value, from the fit you performed on the data.Īfter fitting, there will a new worksheet named something like *FindXfromY* (or *FindYfromX*). See more related video: Find X/Y Values after Fitting
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