# Chapter 11 Investing For Your Future Worksheet Answers – How To… Perform Simple Linear Regression by Hand

Learn how to make predictions using Simple Linear Regression. To do this you need to use the Linear Regression Function (y = a + bx) where “y” is the dependent variable, “a” is the y intercept, “b” is the slope of the regression line, and “x” is the independent variable.

This video also shows you how to determine the slope (b) of the regression line, and the y intercept (a).

In order to determine the slope of a line you will need to first determine the Pearson Correlation Coefficient – this is described in a separate video (https://www.youtube.com/watch?v=2SCg8Kuh0tE).

## Thanks for watching the Chapter 11 Investing For Your Future Worksheet Answers video!

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1. ##### Tatamo vatsiniaina
July 31, 2021 at 2:13 pm

Thank you my dear …i love the way you teach

2. ##### Afsana Mimi
July 31, 2021 at 2:13 pm

Oh my!
This is THE MOST EXTRAORDINARILY EFFECTIVE video on Regression calculation!!!

Incredible, Excellent and Astounding!πππππ

3. ##### George Ognyanov
July 31, 2021 at 2:13 pm

A very interesting video no doubt and the Irish accent is a great addition, especially if you are going to watch it 7 times, almost one after the other as I did … I understand the importance of the PCC to find relationship between X and y (if any) but when it comes to the slope, why are you not calculating it as the result of SP / SSx, especially when we have those values good and ready?

4. ##### Teju Chauhan
July 31, 2021 at 2:13 pm

Tejsingh

5. ##### Liam Howard
July 31, 2021 at 2:13 pm

How would you transform the linear regression into a logarithmic regresssion?

6. ##### eugene vlaxos
July 31, 2021 at 2:13 pm

Amazing!! Thank you

7. ##### Ayman
July 31, 2021 at 2:13 pm

I had a case where the value of a using the regression line intersection with y axis is different than the value i calculated, why is that?

the excel calculated a of 9949
but the regression line intersection is 12500

8. ##### Pedro Sousa
July 31, 2021 at 2:13 pm

I wish my Computational Mathematics teacher would have half the teaching skils that Dr. Eugene has. This was the best linear regression class I have ever had and I enjoyed every second. Thankyou Dr. Eugene.

9. ##### Laririt, Renz Carlo J.
July 31, 2021 at 2:13 pm

where did you get the x?? the 15 i mean

10. ##### Franklin Stepnowski
July 31, 2021 at 2:13 pm

This is one of the most efficient set ups and calculations for linear regression. Extremely helpful.

11. ##### Viji Lakshmi
July 31, 2021 at 2:13 pm

Thanks for the videoπ

12. ##### Jack Auka
July 31, 2021 at 2:13 pm

This is amazing!

13. ##### Gregory Brennan
July 31, 2021 at 2:13 pm

typical Irish teachers, they are going to tell you your attitude according to their incompetent map of the world because they have been appointed by God.

14. ##### Research 101
July 31, 2021 at 2:13 pm

Why X= 15 ?
In the last part of video

15. ##### Benjamin Powell
July 31, 2021 at 2:13 pm

amazing, thanks v much

16. ##### i19-1855 M Asif
July 31, 2021 at 2:13 pm

This helped me a lot! thanks

17. ##### Capt. Caymaaan
July 31, 2021 at 2:13 pm

This just saved my daughter and I all kinds of time and frustration. Very much appreciated!

18. ##### Emily Li
July 31, 2021 at 2:13 pm

May I ask you that why x=15? And what the meaning of figure x? If the question did not give out the figure x how do I work out the final result?

19. ##### James Laforteza
July 31, 2021 at 2:13 pm

I have a question where did you get the value of x?

20. ##### Precious Oboroh
July 31, 2021 at 2:13 pm

Found this very very usefulππΎ

21. ##### GOT7 lablab
July 31, 2021 at 2:13 pm

Thank you so much. This is very helpful. ππ­

22. ##### marlou edem
July 31, 2021 at 2:13 pm

where did you get x = 15?

23. ##### shunnie
July 31, 2021 at 2:13 pm

Thank you so much! Other sites were really confusing, but this was easy to understand and extremely helpful, along with your Pearson Correlation Coefficient video. Much appreciated.

July 31, 2021 at 2:13 pm

THEON YOU ARE A GOOD TEACHER

25. ##### Angel Corpuz
July 31, 2021 at 2:13 pm

Where did you get the value of x on the last part po?

26. ##### Elias Bittar
July 31, 2021 at 2:13 pm

Hello plz can someone tell me how to test the nullity of a ???

27. ##### Jeff Cipriano
July 31, 2021 at 2:13 pm

Simple but very clear presentation. Keep it up sir. Thanks a lot

28. ##### Rayinda Putri
July 31, 2021 at 2:13 pm

Thanks a lotβ¨

29. ##### Destroyer 007
July 31, 2021 at 2:13 pm

30. ##### Subhra Pratim Sharma
July 31, 2021 at 2:13 pm

This 11 mins scored me 10 points today.

31. ##### Nicolai Ingrid
July 31, 2021 at 2:13 pm

Thank you for this, sir!

32. ##### Charlie L
July 31, 2021 at 2:13 pm

Thank you so much

33. ##### Rubayat Harun
July 31, 2021 at 2:13 pm

ur the reason why I'll make my parents proud by succeeding in life

34. ##### JOSEPH KAVOLU
July 31, 2021 at 2:13 pm

this suck

35. ##### Devjyoti Chakraborty
July 31, 2021 at 2:13 pm

perfect video…

36. ##### dice
July 31, 2021 at 2:13 pm

Omooooo!

37. ##### Ismatullo Rahimov
July 31, 2021 at 2:13 pm

You explained very simply! Thank you very much and please keep up the work!

38. ##### Juliane Vega
July 31, 2021 at 2:13 pm

39. ##### Kieren Brown
July 31, 2021 at 2:13 pm

MISTYPO IN THE CALCULATOR

40. ##### Interesting videosmail
July 31, 2021 at 2:13 pm

Best video on linear regression. Bookmarking this video. Thanks!

41. ##### roy arrowood
July 31, 2021 at 2:13 pm

Thank you for actually doing the work and not just plugging numbers into a computer that does it for you like so many other videos here on YouTube. Im sure doing this by hand many many times is the only way I am going to get an intuitive grasp of how this really works.

42. ##### DTAKamalakirthi Dissanayake
July 31, 2021 at 2:13 pm

Excellent Work. Keep Doing… Thank You. This is what I was Looking For. Thank You again!!!!

43. ##### Ramana mohan
July 31, 2021 at 2:13 pm

excellent

44. ##### umair khan
July 31, 2021 at 2:13 pm

Wonderful explanation! Thank you