Virtually Passed
Fitting a Line using Least Squares #SoME2
The Least Squares method is widely used to fit curves to data. This is called Least Squares regression. This video shows how to solve the ordinary least squares minimization problem for 1 unknown and 2 unknowns. In practice though, it...
Virtually Passed
Least Squares Formula PROOF
First video: https://youtu.be/6eLJSzOHdc8 Linear least squares is a method commonly used to fit curves to data. The equation used for least squares here is derived using the column space of A. The 'best' value of X is the one that...
Khan Academy
Khan Academy: Proof (Pt 4) Minimizing Squared Error to Regression Line
Video about deriving the formula for the least squares regression line. This final video finishes up the derivation of the formula for line of best fit by solving the system of equations created by the partial derivatives. It finally...
Khan Academy
Khan Academy: Proof (Pt 2) Minimizing Squared Error to Regression Line
Video is the third of five related videos about deriving the formula for the least squares regression line. This video continues the algebraic manipulation to start deriving the formula by changing the notation to means instead of...
Khan Academy
Khan Academy: Statistics: Regression Line Example
Video demonstrates how to use the formulas to determine the best fitting regression line by doing an example of finding the regression line given 3 points. Includes graphing the regression line to show it visually. [9:27]
Khan Academy
Khan Academy: Proof (Part 1) Minimizing Squared Error to Regression Line
Video is the second of five related videos about deriving the formula for the least squares regression line. This video goes through the algebraic manipulation required at the begining of deriving the formula. [10:35]
Khan Academy
Khan Academy: Linear Algebra: Another Least Squares Example
A video lesson on using the least squares approximation to find the line of best fit for a set of points. Includes a concrete example dealing with a set of 4 points. Finds the equation to the line that is the best approximation of a line...
Khan Academy
Khan Academy: Proof (Pt 3) Minimizing Squared Error to Regression Line
Video is the fourth of five related videos about deriving the formula for the least squares regression line. This video shows using partial derivatives and setting them equal to 0 to get closer to deriving the formula for m and b. It...
Khan Academy
Khan Academy: Statistics: Second Regression Example
Video demonstrates how to calculate the equation of the regression line from a set of 4 points. Leads up to determining the coefficient of determination or r-squared which is shown in the next video. [9:15]
Khan Academy
Khan Academy: Statistics: Calculating R Squared
Video shows using a spreadsheet to demonstrate calculating the coefficient of determination or r-squared. Also explains how to interpret the value of r-squared. [9:45]
Khan Academy
Khan Academy: Statistics: R Squared or Coefficient of Determination
Video reviews the basics of the regression line, then shows how the formula for the coefficient of determination or r squared is derived. Explains how to interpret the coefficient of determination. [12:41]
Annenberg Foundation
Annenberg Learner: Against All Odds: Models for Growth
Video program looks at linear growth, least squares, and exponential growth, and applies statistics to examine growth patterns in real-life situations: a study of growth problems in children and grwoth of world oil production over time.
Khan Academy
Khan Academy: Statistics: Squared Error of Regression Line
Video is the first of five related videos about deriving the formula for the least squares regression line. This first video simply shows what the least squares regression line is and gives a basic illustration and generalized formula...
Khan Academy
Khan Academy: Orthogonal Projections: Another Least Squares Example
This is a video lesson on using the least squares approximation to find the line of best fit for a set of points. Includes a concrete example dealing with a set of 4 points.
Khan Academy
Khan Academy: Using a P Value to Make Conclusions in a Test About Slope
Making conclusions in a hypothesis test about the slope of a least-squares regression line.
Khan Academy
Khan Academy: Transforming Nonlinear Data
Use logarithms to transform nonlinear data into a linear relationship so we can use least-squares regression methods.
Khan Academy
Khan Academy: Another Least Squares Example
Using least squares approximation to fit a line to points.
Sophia Learning
Sophia: Finding the Least Squares Line
This lesson will demonstrate calculating the slope and y-intercept for a least-squares line.
Sophia Learning
Sophia: Finding the Least Squares Line: Lesson 1
This lesson will demonstrate finding the least-squares line. It is 1 of 3 in the series titled "Finding the Least-squares Line." [7:13]
Sophia Learning
Sophia: Finding the Least Squares Line
This lesson will demonstrate finding the least-squares line. It is 4 of 4 in the series titled "Finding the Least-squares Line." [5:54]