Curve Fitting Using Least Squares Method | Linear & Quadratic Fit with Examples

In this lecture, we study Curve Fitting using the Method of Least Squares, an important topic in Numerical Methods and Numerical Analysis. Curve fitting is used to determine the best mathematical relationship between variables when we are given a set of data points. The video begins with the concept of curve fitting and explains why it is used in mathematical modeling and data analysis. After that, we introduce the Least Squares Method, which is a standard technique used to obtain the best fitting curve by minimizing the error between the observed data and the predicted values. We then explain how to apply the Least Squares Method to linear equations and quadratic equations. The lecture also shows how to form the normal equations, which are used to determine the unknown coefficients of the curve. To make the concept clear, the video includes the working rule and step-by-step solved examples for both linear curve fitting and quadratic curve fitting. Topics covered in this lecture: • Introduction to Curve Fitting • Concept of Least Squares Method • Formation of Normal Equations • Curve fitting for Linear Equations • Curve fitting for Quadratic Equations • Working rule and step-by-step examples This lecture is useful for students studying numerical methods, numerical analysis, engineering mathematics, applied mathematics, and data analysis. This lecture is useful for students studying numerical methods, numerical analysis, linear algebra, engineering mathematics, and computational mathematics. This lecture is useful for BS Mathematics, Engineering, Computer Science, and university students studying numerical methods or linear algebra. Watch the full lecture to clearly understand special matrices, matrix properties, and iterative techniques used in solving linear systems. 📌 Perfect for: • BS Mathematics students • Engineering students • Competitive exam preparation • Numerical Analysis learners Watch till the end for a complete understanding with theory + graphical intuition + practical examples. Subscribe to Learn with Arisha for more detailed lectures on numerical methods and MATLAB tutorials. 🔹More Playlists: ✅ Numerical Methods Quick Concepts | Short Urdu Videos https://youtube.com/playlist?list=PLQN-EgCjaCPE9hGvVPG4LWdyqYCNS-_Z4&si=aOhbAFoR1XanUrlj ✅Numerical Methods – Full Course https://youtube.com/playlist?list=PLQN-EgCjaCPEH08zW7aUvCJR-BfscRZg-&si=9NwkOOWmed6RkDX1 ✅ 3D Plotting in MATLAB | Learn with Arisha https://youtube.com/playlist?list=PLQN-EgCjaCPFKXGCIzLj-QVcvojLfJVWf&si=-JPTqK-Js0T2lfFV ✅ 2D Plotting in MATLAB | Learn with Arisha https://youtube.com/playlist?list=PLQN-EgCjaCPFUtyWcKDpCbPmcYMC8nnQC&si=McpIOs4a8rcub3Gb ✅ Numerical Analysis Complete Course https://youtube.com/playlist?list=PLQN-EgCjaCPGrYf4xZ0BhxXvPgdZ-Y9ks&si=8SB4AG9_G9CqJ_ue ✅MATLAB for Numerical Computation https://youtube.com/playlist?list=PLQN-EgCjaCPEZZQ5t6xzWn7Xxv3042bjG&si=CGwmwKr6-Dt-y4X- 🚀 Boost Your Numerical Computing Skills! This tutorial is perfect for students, engineers, and programmers who want to understand numerical errors in computational mathematics and MATLAB programming. 💡 Want More Tutorials on Numerical Methods? 👉 Subscribe for more computational math & MATLAB lessons! 👉 Hit the Like button if this video helps! 👉 Have questions? Comment below! 🔔 Stay updated with the latest programming & numerical analysis tutorials! #NewtonRaphsonMethod #NumericalMethods #EngineeringMathematics #NumericalAnalysis #RootFindingMethod #NewtonMethod #RateOfConvergence #QuadraticConvergence # Graphical Explanation #SolvedExample #MathLecture #BSMathematics #EngineeringStudents #CompetitiveExamPreparation #LearnWithArisha #NonlinearEquations #IterationMethod #MathematicsTutorial #MathConcepts #mathyoutube #SecantMethod #convergenceofsecantmethod #rateofconveregnceofsecantmethod #RegulaFalsi #FalsePositionMethod #NumericalMethods #NumericalAnalysis #GaussElimination #GaussJordan #NumericalMethods #LinearEquations #MatrixMethod #engineeringmathematics #PivotingStrategies #PartialPivoting #ScaledPartialPivoting #GaussElimination #NumericalMethods #NumericalAnalysis #LinearEquations #MatrixMethod #EngineeringMathematics #LearnWithArisha #LUDecomposition #DoolittleMethod #CroutMethod #NumericalMethods #linearalgebra #NumericalMethods #GaussSeidelMethod #JacobiMethod #IterativeMethods #SpecialMatrices #SparseMatrix #DenseMatrix #TridiagonalMatrix #BandMatrix #MatrixSparsity #PositiveDefiniteMatrix #DiagonallyDominantMatrix #LinearEquations #EngineeringMathematics #NumericalAnalysis #AppliedMathematics #ComputationalMathematics #ScientificComputing #MatrixMethods #learnwitharisha #PowerMethod #Eigenvalues #Eigenvectors #NumericalMethods #NumericalAnalysis #LinearAlgebra #EngineeringMathematics #DominantEigenvalue #MatrixMethods #CurveFitting #LeastSquaresMethod #NumericalMethods #NumericalAnalysis #EngineeringMathematics #AppliedMathematics #DataFitting #LinearRegression #QuadraticRegression