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Curve-Fit 4+
Curve Fitting by Least Squares
Bjarne Berge
Designed for iPad
-
- Free
- Offers In-App Purchases
Screenshots
Description
Plots and performs a best-fit curve for given X, Y-value pairs by method of Least Squares. Will fit up to 10 different curves to the data set based on user selection.
'CurveFit' uses regression analysis by the method of least squares to find best fit for a set of data to a selected equation.
The curve-fitting technique used in this app is based on regression analysis by the method of least squares. The free version fits a straight line through a data-set using least squares analysis.
One In-App purchase is required to fit the other equations to the data set:
Straight Line : Y = C0 + C1*X (free)
Power Curve : Y = C0 + X^C1 Exponential I : Y = C0 * EXP(C1*X)
Exponential II : Y = C0 * X * EXP(C1*X)
Hyperbolic : Y = (C0 + C1*X)/(1 - C2*X)
Square Root : Y = C0 + C1*SQRT(X)
Polynomial : Y = C0 + C1*X + --- + CN*X^N
Exponential Poly : Y = C0 * EXP(C1*X + --- +
Natural Log : Y = C0 + C1*(LN(X)) + --- +
Reciprocal : Y = C0 + C1/X + --- + CN/X^N
Most literature deals with least squares analysis for straight lines, 2nd degree polynomials, and functions that can be linearized. The input-data is transformed into a format that the can be put into linear forms with undetermined constants. These types of equations are applicable for least-squares regression.
The regression routine is needed for determining values for the set of unknown quantities C1, C2,- - - ,Cm in the equation:
Y = C1 x F1(X) + C2 x F2(X) + - - - + Cm x Fm(X)
The constants are determined to minimize the sum of squares of the differences between the measured values (Y1, Y2, - - - , Yn) and the predicted equation Yc = F(X) which is found by curve-fitting the given data.
The principle of least squares is to find the values for the unknowns C1 through Cm that will minimize the sum of the squares of the residuals:
n
∑(ri) = r12 + r22 + - - - + rn2 = minimum
i=1
This is done by letting the derivative of the above equation equal zero. Thereby there will be generated as many algebraic equations as given data points, and the number of equations will be larger than unknowns.
What’s New
Version 6.0
Upgraded to latest IOS SDK
Minor Bug-fixes
Added 'Share' button to enable sharing, saving and printing of graph/data
Changed color-scheme to work in Dark Mode
Updated layout and fonts to work better with iPads (larger fonts/better layout)
App Privacy
The developer, Bjarne Berge, has not provided details about its privacy practices and handling of data to Apple. For more information, see the developer’s privacy policy.
No Details Provided
The developer will be required to provide privacy details when they submit their next app update.
Information
- Provider
- Bjarne Berge
- Size
- 809 KB
- Category
- Utilities
- Compatibility
-
- iPhone
- Requires iOS 12.3 or later.
- iPad
- Requires iPadOS 12.3 or later.
- iPod touch
- Requires iOS 12.3 or later.
- Mac
- Requires macOS 11.0 or later and a Mac with Apple M1 chip or later.
- Apple Vision
- Requires visionOS 1.0 or later.
- Languages
-
English
- Age Rating
- 4+
- Copyright
- © Bjarne Berge
- Price
- Free
- In-App Purchases
-
- Curve-Fit USD 2.99