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Stats Audio Lectures--Linear Regression
http://arnoldkling.com/apstats/audio/regression.html
Calculating Line of Best Fit. The equation of the line is Y = a + bX. For example, suppose that we get a line of best fit that says that longevity = 60 + 0.8X, where X is average income measured in tens of thousands of dollars ($15,000 would be 15). The set of actual points is (X i, Y i). The line predicts that for an average income of $8000 longevity will be 60 + .8(8) = 66.4 years.
Interpreting the fitted line - Simple Linear Regression ...
https://www.coursera.org/lecture/ml-regression/interpreting-the-fitted-line-x8ohF
Simple Linear Regression. Our course starts from the most basic regression model: Just fitting a line to data. This simple model for forming predictions from a single, univariate feature of the data is appropriately called "simple linear regression".<p> In this module, we describe the high-level regression task and then specialize these ...
Using the fitted line - Simple Linear Regression | Coursera
https://www.coursera.org/lecture/ml-regression/using-the-fitted-line-RjYbf
Here's the fitted regression line I talked about before. So it's -44,850 + 280.76 times x. And what I'd like to do is predict the value of a house that has 2,640 square feet. So I do, it's just plug in 2,640 into this equation. That's my y hat. And that comes out to be, if you do that calculation, $696,356.
Lecture 9: Linear Regression - University of Washington
https://www.gs.washington.edu/academics/courses/akey/56008/lecture/lecture9.pdf
Lecture 9: Linear Regression. Goals • Linear regression in R •Estimating parameters and hypothesis testing with linear models •Develop basic concepts of linear regression from a probabilistic framework. Regression •Technique used for the modeling and analysis of …
Lecture 2 Linear Regression: A Model for the Mean
http://www.columbia.edu/~so33/SusDev/Lecture2.pdf
Lecture 2 Linear Regression: A Model for the Mean ... Fitted values PH Estimated regression line Steer example (see Display 7.3, p. 177).73 Intercept=6.98 ... Note that the regression line always goes through the mean X, Y. Relation Between Yield and Fertilizer 0 20 40 60 80 100
Lecture 11 - Matrix Approach to Linear Regression
http://www.stat.columbia.edu/~fwood/Teaching/w4315/Fall2009/lecture_11
Frank Wood, [email protected] Linear Regression Models Lecture 11, Slide 20 Hat Matrix – Puts hat on Y • We can also directly express the fitted values in terms of only the X and Y matrices and we can further define H, the “hat matrix” • The hat matrix plans an important role in diagnostics for regression analysis. write H on board
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