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Video 1: Basic Principles of Linear Regression
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This is a video on the very basic principles of linear regression analysis. It is a (slightly updated) re-recording of my previous video but for English students.
Timestamps:
0:00 Introduction
0:54 Example introduction
3:06 Calculation of total variance
6:17 Relating the independent variable
9:23 Calculating the regression slope
12:53 Calculating the intercept
15:34 The regression equation
16:54 How good is the new model?
18:31 Calculating the residual variance
20:21 The R-squared
22:25 Assumption 1: Linearity
23:38 Assumption 2: Homogeneity of variances
24:40 Assumption 3: Normally distributed residuals
25:26 Assumption 4: Independent observations
Timestamps:
0:00 Introduction
0:54 Example introduction
3:06 Calculation of total variance
6:17 Relating the independent variable
9:23 Calculating the regression slope
12:53 Calculating the intercept
15:34 The regression equation
16:54 How good is the new model?
18:31 Calculating the residual variance
20:21 The R-squared
22:25 Assumption 1: Linearity
23:38 Assumption 2: Homogeneity of variances
24:40 Assumption 3: Normally distributed residuals
25:26 Assumption 4: Independent observations