Least squares | Analysis of variance
The partition of sums of squares is a concept that permeates much of inferential statistics and descriptive statistics. More properly, it is the partitioning of sums of squared deviations or errors. Mathematically, the sum of squared deviations is an unscaled, or unadjusted measure of dispersion (also called variability). When scaled for the number of degrees of freedom, it estimates the variance, or spread of the observations about their mean value. Partitioning of the sum of squared deviations into various components allows the overall variability in a dataset to be ascribed to different types or sources of variability, with the relative importance of each being quantified by the size of each component of the overall sum of squares. (Wikipedia).
Visualizing division by fractions
3D animation giving an intuitive understanding of what it means to divide by a fraction.
From playlist Physics
Multiplying Whole Numbers Using Area and Partial Products
This video explains an alternative method for determining the product of whole numbers based upon the area of rectangles. Site: http://mathispower4u.com
From playlist Multiplication and Division of Whole Numbers
Sum of integers squared explained
Explanation on deriving the equation. In arithmetic, we often come across the sum of n natural numbers. Sum of squares refers to the sum of the squares of numbers. It is basically the addition of squared numbers. Support my channel with this special custom merch! https://www.etsy.com/list
From playlist Math formulas, proofs, ideas explained
Number Theory | Sums of Squares Part 7.
Our final video in this series where we have examined which natural numbers are expressible as a sum of various numbers of square integers. Here we show that all natural numbers are expressible as a sum of four squares. http://www.michael-penn.net http://www.randolphcollege.edu/mathematic
From playlist Sums of Squares
Multiplying Fractions (2 of 4: Fractions of Fractions)
More resources available at www.misterwootube.com
From playlist Fractions, Decimals and Percentages
Dividing Fraction - Positive Only
This video provides a lesson on how to divide fractions and explains what is happening with division involving fractions. Complete Video Library: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com
From playlist Multiplying and Dividing Fractions
Model the Product of a Fraction and Mixed Number Using Fraction Bars
This video explains how to use fraction bars to determine the product of a fraction and a mixed number. http://mathispower4u.com
From playlist Multiplication and Division of Mixed Numbers
Number Theory | Sums of Squares Part 1.
This is the first in a series of videos where we establish which natural numbers are expressible as the sum of two squares. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Sums of Squares
Find a Partial Sum Using Summation Formula: Sum(5i^3-2i)
This video explains how to determine a partial sum given in sigma notation using summation formulas. http://mathispower4u.com
From playlist Series (Algebra)
How to use generating functions with integer partitions -- Number Theory 30
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From playlist Number Theory
Ramanujan's Theta Functions -- Number Theory 32
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.
From playlist Number Theory
How to use generating functions with integer partitions -- Number Theory 30
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From playlist Number Theory v2
Ramanujan's Theta Functions -- Number Theory 32
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From playlist Number Theory v2
6. Szemerédi's graph regularity lemma I: statement and proof
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Szemerédi's graph regularity lemma is a powerful tool in
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
calc 1 final be like (integral version)
This is how a calculus 1 final exam problem might look like in college. We calculate the price Integral of x^2 from 0 to 1 in four different ways: 0:00 The Problem 0:29 Reverse Power Rule 4:20 Analysis 10:10 Lebesgue Integral This is in response to blackpenredpen's video, where he do
From playlist Real Analysis
Keith Ball: Restricted Invertibility
Keith Ball (University of Warwick) Restricted Invertibility I will briefly discuss the Kadison-Singer problem and then explain a beautiful argument of Bourgain and Tzafriri that I included in an article commissioned in memory of Jean Bourgain.
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
Difference 2 at distance 1 -- Number Theory Video 34
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From playlist Number Theory v2
Worldwide Calculus: The Definite Integral (part B)
Lecture on 'The Definite Integral (part B)' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Continuous Sums: the Definite Integral
Extremal Combinatorics with Po-Shen Loh 03/23 Mon
Carnegie Mellon University is protecting the community from the COVID-19 pandemic by running courses online for the Spring 2020 semester. This is the video stream for Po-Shen Loh’s PhD-level course 21-738 Extremal Combinatorics. Professor Loh will not be able to respond to questions or com
From playlist CMU PhD-Level Course 21-738 Extremal Combinatorics
This video explains how to divide a decimal by a whole number and how to divide a decimal by a decimal. http://mathispower4u.wordpress.com/
From playlist Number Sense - Decimals, Percents, and Ratios