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Learn about the 12 important calculations for Linear Regression: Covariance, Correlation, Slope, Y Intercept, Sum of Squares Total = SST, Sum of Squares Regression = SSR, Sum of Squares Error (Residual) = SSE, R Squared = Coefficient of Determination, Mean Square Error, Standard Error of Estimate, p-value for F. See many diagrams, pictures and animations to help make the complicated math easy to understand.

Learn about the Excel functions: FORECAST.LINEAR, COVARIANCE.S, PEARSON, CORREL, SLOPE, INTERCEPT, SUMSQ, RSQ, STEYX and more.
Topics:

1. (00:00) Introduction
2. (00:27) Outline for topics
3. (02:47) X and Y Data Sets. Regression shows correlation, not causation.
4. (03:36) X-Y Scatter Chart
5. (05:00) Types of Relationships
6. (06:18) Add Ybar and Xbar Lines to X-Y Scatter Chart
7. (11:17) Sample Covariance. Why the formula is cool
8. (11:17) How to make sense of the Linear Regression Formulas, in a visual way
9. (14:17) Calculate Sample Covariance
10. (18:24) Calculate Coefficient of Correlation
11. (19:19) Calculate Sample Standard Deviation
12. (22:06) Simple Linear Regression Estimated Equation: Population Parameters and Sample Statistics.
13. (25:20) Assumptions to use Estimated Equation to predictions won’t be too high or too low
14. (30:35) Look at formulas for Slope and Y-Intercept. Look at Least Squares Method, including Deductive Proof
15. (32:10) Calculate Slope
16. (33:20) Calculate Y Intercept
17. (35:05) Use formula to create algebra/statistics formulas. Learn about the FIXED function.
18. (36:42) Experimental Range
19. (37:20) Make prediction with estimated equation
20. (37:50) Add equation to chart
21. (38:17) Understanding SST = SSR + SSE and R Square.
22. (39:06) What are Residuals?
23. (42:05) Great Visuals for Residuals and SST + SSR + SSR and R Squared
24. (50:17) Calculate SST, SSR and SSE
25. (54:40) Calculate R Squared = Coefficient of Determination
26. (56:12) Calculate Mean Square Error = MSE
27. (57:12) Calculate Standard Error of Estimate (y) = s
28. (58:05) Calculate Mean Square Regression = MSR, F Test Statistic and p-value to test reasonableness of relationship
29. (01:00:31) Understanding Residual Plot to Test Regression Assumptions
30. (01:04:52) Build Residual Plot
31. (01:05:02) FORECAST function
32. (01:07:02) Data Analysis Regression Tool
33. (01:11:20) Summary of video
34. (01:11:55) Closing, Next Video and Video Links