Statistical deviation and dispersion | Point estimation performance
The root-mean-square deviation (RMSD) or root-mean-square error (RMSE) is a frequently used measure of the differences between values (sample or population values) predicted by a model or an estimator and the values observed. The RMSD represents the square root of the second sample moment of the differences between predicted values and observed values or the quadratic mean of these differences. These deviations are called residuals when the calculations are performed over the data sample that was used for estimation and are called errors (or prediction errors) when computed out-of-sample. The RMSD serves to aggregate the magnitudes of the errors in predictions for various data points into a single measure of predictive power. RMSD is a measure of accuracy, to compare forecasting errors of different models for a particular dataset and not between datasets, as it is scale-dependent. RMSD is always non-negative, and a value of 0 (almost never achieved in practice) would indicate a perfect fit to the data. In general, a lower RMSD is better than a higher one. However, comparisons across different types of data would be invalid because the measure is dependent on the scale of the numbers used. RMSD is the square root of the average of squared errors. The effect of each error on RMSD is proportional to the size of the squared error; thus larger errors have a disproportionately large effect on RMSD. Consequently, RMSD is sensitive to outliers. (Wikipedia).
Square Root App: Find the Side Length of a Square Given the Area
This video explains how to use a square root to determine the side length of a square given the area of the square. http://mathispower4u.com
From playlist Square Roots
Ex: Domain and Range of Square Root Functions
This video provided three examples of how to determine the domain and range of various square root functions. The results are verified graphically. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Graphing the Square Root Function with Transformations
Function Transformation Summary - The Square Root Function
This video reviews all of the different types of function transformations using the square root function. This is an overview of shifts, reflections, stretches, and compressions. Video Library: http://www.mathispower4u.com Search: http://www.mathispower4u.wordpress.com
From playlist Graphing the Square Root Function with Transformations
Ex: Domain and Range of Radical Functions
This video provided examples of how to find the domain and range of radical functions with index 2, 3, and 4. The results are checked graphically. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Graphing the Square Root Function with Transformations
Explain how to take the root of a number even or odd using prime factorization, root
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
How to take the square root of three different types of numbers, root(4), root(18)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Square Root Functions: Domain, Range
Two examples of finding the domain and range for square root functions using graphs and algebra.
From playlist Domain and Range of Functions
Evaluate the square root of a perfect square number multiplied
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist Simplify the Square Root Expressions
Year 12/AS Statistics Chapter 2.5 (Measures of Location & Spread)
In this final lesson about measures of location and spread for year 12, we introduce the idea of coding data to make sets of data easier to deal with. I then explain how to "uncode" the data later so that statistics for the original data can be calculated from coded versions. This lesson
From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE
Learn how to evaluate an expression with the radical of a perfect square ex 2, 5root(36)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist Simplify the Square Root Expressions
Chapter 2.2: Range, Standard Deviation, and Variance
Chapter 2.2 from "Introduction to Statistics, Think & Do" by Scott Stevens (http://www.StevensStats.com) Textbook from Publisher, $29.95 print, $9.95 PDF http://www.centerofmathematics.com/wwcomstore/index.php/thinkdov4-1.html Textbook from Amazon: https://amzn.to/2zJRCjL
From playlist Statistics Lecture Videos
Basic Excel Business Analytics #23: Variability: Variance, Standard Deviation, Z-score and more
Download files: https://people.highline.edu/mgirvin/AllClasses/348/348/AllFilesBI348Analytics.htm Learn about a number of important calculations for Variability: 1) (00:11) What is Variability? Synonyms: Variation, Dispersion, Spread in the data. Which Mean more fairly represents its data
From playlist Excel Business Analytics (Forecasting, Linear Programming, Simulation & more) Free Course at YouTube (75 Videos)
Excel & Statistics 41: Sample Standard Deviation (Variability)
Download Excel Start File 1: https://people.highline.edu/mgirvin/AllClasses/210M/Content/ch03/Busn210ch03.xls Download Excel Finished File 1: https://people.highline.edu/mgirvin/AllClasses/210M/Content/ch03/Busn210ch03Finished.xls Download Excel Start File 2: https://people.highline.edu/mg
From playlist Excel 2007 Statistics: Charts, Functions, Formulas
erf(x): Why 68% of Data Falls within 1 Standard Deviation
Why, in a normal distribution, does 68.27...% of data points fall within 1 standard deviation of the mean? Why 95.45...% within 2 standard deviations? What fraction of data is within 0.7 standard deviations of the mean? The answer lies with a little known function, erf(x).
From playlist Fun
Excel 2010 Statistics #30: Standard Deviation: How fairly does the mean represent its data points?
Download Excel File #1: https://people.highline.edu/mgirvin/AllClasses/210Excel2010/Content/Ch03/Excel2010StatisticsCh03correct.xlsm Download Excel File #2: https://people.highline.edu/mgirvin/AllClasses/210Excel2010/Content/Ch03/Excel2010StatisticsCh03SecondFile.xlsm Download Excel File #
From playlist Excel 2010 Videos
Using Excel with the Central Limit Theorem
A Microsoft Excel tutorial on: Finding the probability that a mean is less than or more than a certain amount 0:06 Finding the probability that a mean differs by the population mean by less than or more than a certain amount 8:57 Central Limit Theorem with Proportions 17:11 This tutorial
From playlist Using Excel in Statistics
Central Limit Theorem - Sampling Distribution of Sample Means - Stats & Probability
This statistics video tutorial provides a basic introduction into the central limit theorem. It explains that a sampling distribution of sample means will form the shape of a normal distribution regardless of the shape of the population distribution if a large enough sample is taken from
From playlist Statistics
Ex: Domain of a Square Root Function with a Quadratic Radicand
This video explains several ways to find the domain of a square root function when the radicand is a quadratic function. Site: http://mathispower4u.com
From playlist Graphing the Square Root Function with Transformations
Excel Statistics 59: Discrete Probability Mean & Standard Deviation SUMPRODUCT function
Download Excel File: https://people.highline.edu/mgirvin/AllClasses/210M/Content/ch05/Busn210ch05.xls Download pdf notes: https://people.highline.edu/mgirvin/AllClasses/210M/Content/ch05/StatsBusn210Ch05.pdf See the formulas for calculating Mean and Standard Deviation for a Discrete Proba
From playlist Excel SUMPRODUCT Function Playlist of Videos