What do you observe as n increase For what values of n do the graph of cos(x) and tn(x) appear identical Repeat this process over the internal - 1, 4. Graph Tn(x) and cos(x) for various values of n over the x- internal -2, 2. Let(x) be the Taylor polynomial of degree n for cos(z). Look at Workspace explorer (Desktop Tools/Workspace) where you can see the variables, click on the variables and see what you can do in the Array Editor that opens. Use t polytool in Matlab to complete the following exercise. The handles are returned in the degree: data, fit, lower bounds, upper bounds. You can use the interface to explore the effects of changing the parameters of the fit and to export fit results to the workspace.
h polytool (.) outputs a vector of handles, h, to the line objects in the plot. polytool(x,y) fits a line to the vectors x and y and displays an interactive plot of the result in a graphical interface. Specify n and alpha as to use their default values. My Statistics skills aren't good enough to provide a solid explanation on the reasons for that - hopefully one of the more seasoned statistics experts can edit my answer (or provide their own and delete mine) to give details on this side-note. Matlab Tips Useful features Explore the Matlab Start menu (button in the bottom left corner). polytool (x,y,n,alpha,xname,yname) labels the x and y values on the graphical interface using xname and yname. You can reduce this correlation by subtracting the mean x-value of your data before fitting. One note of caution: The errors of a and b will generally be correlated, which makes them unnecessarily big. Assuming that the confidence intervals are symmetrically spaced around the fitted values (which in my experience is true in all reasonable cases), you can use the following code: cf_coeff = coeffvalues(cf) Ī_uncert = (cf_confint(2,1) - cf_confint(1,1))/2 ī_uncert = (cf_confint(2,2) - cf_confint(1,2))/2 You can access the fit results with the methods coeffvaluesand confint. The option 'poly1' tells the fit function to perform a linear fit.
I will be grateful if someone can help me in finding a Matlab code to calculate this function.
Note: x and y have to be column vectors for this example to work. Matlab code for Appell's function F1 Hello, I couldn't find a Matlab built-in function for Appell's hypergeometric function F1. If you have the curve fitting toolbox installed, you can use fit to determine the uncertainty of the slope a and the y-intersect b of a linear fit.