Design of experiments | Least squares | Analysis of variance | Statistical hypothesis testing
In statistics, a sum of squares due to lack of fit, or more tersely a lack-of-fit sum of squares, is one of the components of a partition of the sum of squares of residuals in an analysis of variance, used in the numerator in an F-test of the null hypothesis that says that a proposed model fits well. The other component is the pure-error sum of squares. The pure-error sum of squares is the sum of squared deviations of each value of the dependent variable from the average value over all observations sharing its independent variable value(s). These are errors that could never be avoided by any predictive equation that assigned a predicted value for the dependent variable as a function of the value(s) of the independent variable(s). The remainder of the residual sum of squares is attributed to lack of fit of the model since it would be mathematically possible to eliminate these errors entirely. (Wikipedia).
Lesson: Factoring a Sum or Difference of Cubes
This video verifies for factoring formulas and provides examples on how to factor a sum or difference of cubes. http://mathispower4u.com
From playlist Factoring a Sum or Difference of Cubes
Factoring a Difference of Squares
This video explains how to factor a difference of squares. http://mathispower4u.yolasite.com/
From playlist Factoring Polynomials
Determine a Line of Best Fit Using the Least-Squares Solution
This video explains how to determine a line of best fit using the method of least-squares solutions.
From playlist Least Squares Solutions
Lec 15 | MIT 2.830J Control of Manufacturing Processes, S08
Lecture 15: Response surface modeling and process optimization Instructor: Duane Boning, David Hardt View the complete course at: http://ocw.mit.edu/2-830JS08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.830J, Control of Manufacturing Processes S08
Ex: Factor a Difference of Squares in the Form a^2 - x^2
This video provides an example of how to factor a binomial that is a difference of squares with the constant term first and the variable term second. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Factoring a Difference of Squares
Method of Finite Differences - Formula for First n Squares
I created this video with the YouTube Video Editor (http://www.youtube.com/editor)
From playlist Proofs
(New Version Available) Factoring a Sum or Difference of Cubes
New Version: https://youtu.be/pRgiZ9pLnOc The video explains how to fact polynomials in the form a^3 + b^3 and a^3 + b^3. http://mathispower4u.wordpress.com/
From playlist Factoring a Sum or Difference of Cubes
2023 Number Challenge: Find sum of two squares that is equal to 2023
#mathonshorts #shorts Check out other 2023 Number Challenges from this list. Share with your friends!! https://www.youtube.com/playlist?list=PLXpXgWDr4HM7KKeX7CaQIu4tfPRJ2HiUM
From playlist Math Problems with Number 2023
Uncertainty propagation d: Sample variance curve fitting
(C) 2012 David Liao lookatphysics.com CC-BY-SA Replaces unscripted draft Reduced chi-square χ2 fitting Normalized residuals
From playlist Probability, statistics, and stochastic processes
Lec 13 | MIT 2.830J Control of Manufacturing Processes, S08
Lecture 13: Modeling testing and fractional factorial models Instructor: Duane Boning, David Hardt View the complete course at: http://ocw.mit.edu/2-830JS08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.830J, Control of Manufacturing Processes S08
Nadav Cohen: "Implicit Regularization in Deep Learning: Lessons Learned from Matrix & Tensor Fac..."
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop I: Tensor Methods and their Applications in the Physical and Data Sciences "Implicit Regularization in Deep Learning: Lessons Learned from Matrix and Tensor Factorization" Nadav Cohen - Tel Aviv Unive
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
In this video, I give an explicit formula for the sum of cubes, and I show in particular why it’s the square of the sum of integers. It is really clever and neat, enjoy! Sum of squares: https://youtu.be/gVMEtOXdhs8 Subscribe to my channel: https://youtu.be/c/drpeyam
From playlist Cool proofs
Bruce Turkington (DDMCS@Turing): Models that minimize the rate of information loss
Complex models in all areas of science and engineering, and in the social sciences, must be reduced to a relatively small number of variables for practical computation and accurate prediction. In general, it is difficult to identify and parameterize the crucial features that must be incorp
From playlist Data driven modelling of complex systems
From playlist STAT 503
Lecture 14 - Expectation-Maximization Algorithms | Stanford CS229: Machine Learning (Autumn 2018)
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3G6tSE6 Andrew Ng Adjunct Professor of Computer Science https://www.andrewng.org/ To follow along with the course schedule and syllabus, visit: http://cs229.sta
From playlist Stanford CS229: Machine Learning Full Course taught by Andrew Ng | Autumn 2018
Calculus 2: Polar Coordinates (19 of 38) Area Bounded by a Polar Curve
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the theory and develop the equation to find the area A=? bounded by a polar curve. Next video in the series can be seen at: https://youtu.be/-7Tp8WM2d2Q
From playlist CALCULUS 2 CH 10 POLAR COORDINATES
Time Series class: Part 1 - Dr Ioannis Papastathopoulos, University of Edinburgh
Part 2: https://youtu.be/7n0HTtThMe0 Introduction: Moving average, Autoregressive and ARMA models. Parameter estimation, likelihood based inference and forecasting with time series. Advanced: State-space models (hidden Markov models, Kalman filter) and applications. Recurrent neural netw
From playlist Data science classes
The mathematics of machine learning and deep learning – Sanjeev Arora – ICM2018
Plenary Lecture 15 The mathematics of machine learning and deep learning Sanjeev Arora Abstract: Machine learning is the sub-field of computer science concerned with creating programs and machines that can improve from experience and interaction. It relies upon mathematical optimization,
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From playlist Linear Algebra Ch 7