iGraphmatica vs Least Squares Curve Fit Usage & Stats

Graphmatica is a powerful, easy-to-use, equation plotter with numerical and calculus features: - Graph Cartesian functions, relations, and inequalities, plus polar, parametric, and ordinary differential equations. - Data plotting and curve-fitting. - Up to 999 graphs on screen at once. - Numerically solve and graphically display tangent lines and integrals. - Find critical points, solutions to equations, and intersections between Cartesian functions. - AutoSquare keeps your graphs from getting squashed as you zoom or enable helper panes; or disable it in General Settings so you can scale each axis independently by pinching horizontally or vertically. - Print your graphs, copy to clipboard or export to Photo Album. - Share graph documents with friends or Graphmatica for Mac or Windows via email or iTunes. - Online help and demo files make getting up to speed a snap. In summary, a great tool for students and teachers of anything from high-school algebra through college calculus.

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Least Squares Curve Fit

“Least Squares Curve Fit” is a user friendly, free of charge and free of ads app. User inputs point sets and chooses function types. Utilizing the Least Squares Linear Regression Method, the app calculates best fit curves, reports equations and draws graphs. Point sets can be stored in a table and are available after app is closed. Currently available function types are: 2D: 1. Line. 2. Parabola. 3. Polynomial up to 8th degree. 4. Circle. 5. Conic section (Ellipse or Hyperbola). 6. Trigonometric function as C + A1*cos(ω*x) + B1*sin(ω*x) + … + An*cos(n*ω*x) + Bn*sin(n*ω*x), where user can select n between 1 and 8 and enter any ω. 7. Exponential Function. 8. Bell Curve. 3D: 1. Plane. 2. Sphere. Also, there is an option to choose the Best Fit: the app goes through all the possible shapes and lists them in order from best to worst fit based on residuals. In some cases, when the standard Least Squares method with orthogonal projection does not work, best fit for Line, Parabola, Polynomial and Trigonometric functions can be calculated with SVD. Links to four other free apps by same developers are included in the app: 1. “Matrix Solver Step by Step” Linear Algebra Visual Guide. 2. “Polynomials and Linear Systems” Equation Solver. 3. “GraphMath” Graphing Calculator. 4. “Vectors and Planes” (and Spheres and Ellipsoids) 3D Geometry Guide. Developers hope to get feedback from users at graphmath@aol.com.