Stastical Inference with Multiple Regression

Goodness of Fit
R squared part 1 (Ben Lambert)
R squared part 2 (Ben Lambert)
The Coefficient of Correlation (ProfessorSerna)
Statistics 101: Simple Linear Regression (Part 4), Fit and the Coefficient of Determination (Brandon Foltz)
Adjusted R squared (Ben Lambert)

ANOVA
Multiple regression 2 – (F test and T test) (Jason Delaney)
Multiple regression 5 – F test for a subset of variables (Jason Delaney)
Multiple Regression Part 4. The Global Test (ProfessorSerna)
What Is the F-test of Overall Significance in Regression Analysis?

Statistics PL11 – Inferences about Population Variances (Brandon Foltz)
Inference for Variances (Jason Delaney)
The F statistic – an introduction (Ben Lambert)

Regressor Tests and Stats
Hypothesis testing in linear regression part 1 (Ben Lambert)
Hypothesis testing in linear regression part 2 (Ben Lambert)
Hypothesis testing in linear regression part 3 (Ben Lambert)
Hypothesis testing in linear regression part 4 (Ben Lambert)
Hypothesis testing in linear regression part 5 (Ben Lambert)
Inference on the Slope (The Formulas) – standard error and hypothesis test (jbstatistics)
What is the standard error of the coefficient? (Minitab Docs)

Interpretation and Examples
Multiple regression 4 – how to interpret regression models (Jason Delaney)
Multiple Regression – Estimated regression equation practice problem – 15.07 (Jason Delaney)
Multiple Regression – Dummy variables – 15.37 – RestaurantRatings (Jason Delaney)
Statistics 101: Multiple Regression (Part 3A), Evaluating Basic Models (Brandon Foltz)
Statistics 101: Multiple Regression (Part 3B), Evaluating Basic Models (Brandon Foltz)

Filling in regression tables (Jason Delaney)
jason delaney regression_table_formula_sheet

 

A Mathematical Primer for Social Statistics (Quantitative Applications in the Social Sciences) 1st Edition by John Fox
– Chapter on Statistical Inference in Regression

 

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