DPS5018 by Victor Soh https://padlet.com/mmuvictor/DPS5018_topic_7 Topic 7 (week 12) en-us 2016-06-27 14:35:38 UTC 2023-03-25 23:08:48 UTC hello@padlet.com https://padlet-assets.s3.amazonaws.com/icons/Shakinghands.png MMLS Notes mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/115516973 These are what you need to know about Topic 7

Correlation and regression
  • 7.1) Linear correlation
  • 7.2) Simple Linear Regression Model
]]> 2016-06-27 14:55:00 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/115516973 Bonus Marks mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/115517798 Post good learning materials over here to get your Bonus Marks :)]]> 2016-06-27 15:06:43 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/115517798 Final Exam Example mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116554100 2016-07-18 11:33:30 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116554100 Final Exam Example (Solution) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116554113 2016-07-18 11:33:53 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116554113 Application of Linear Regression in Machine Learning: predict a quantitative Y based on several (quantitative) X https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116912577 https://www.ismll.uni-hildesheim.de/lehre/ml-07w/skript/ml-2up-01-linearregression.pdf]]> 2016-07-25 06:16:14 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116912577 Tutorial Set mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116928799 final 1415.pdf
  • Section A:
    • Q10
  • Section C:
    • Q3c

final 1516.pdf
  • Section A:
    • Q19, Q20
  • Section C:
    • Q1b, Q2c
]]> 2016-07-25 13:59:23 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116928799 Application of Linear Regression: Determining if there is any relationship between regularly attending classes  and getting better quiz marks mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116945073 Attached are your Quiz 1 marks during the end of Week 4 (i.e. your first attempt at Quiz 1 in MMLS).

After analyzing your Quiz 1 performance using techniques in Topic 7 and Topic 8, I have verified the following facts:
  • watching the EDpuzzle videos does have a positive affect on your Quiz 1 marks
  • there is a positive correlation between regularly attending classes and getting better marks in Quiz 1 

P.S. If you would like to check out my analysis, you have to download the attached file first :)
]]> 2016-07-25 20:01:23 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/116945073 Video Lectures mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/117238600 7.1a) Introduction to Bivariate Data

7.1b) Values of the Pearson Correlation

7.1c) Properties of r

7.1d) Computing r

7.2a) Introduction to Linear Regression

7.2b) Regression line example
]]> 2016-07-31 10:04:39 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/117238600 final 1415 (Questions) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118751130 2016-08-18 13:51:37 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118751130 final 1516 (Questions) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118752186 2016-08-18 13:57:02 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118752186 final 1415 (Solutions) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118775926 2016-08-18 15:43:33 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118775926 final 1516 (Solutions) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118775999 2016-08-18 15:43:51 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118775999 Supp Exams mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118814630 Trim 3, 2015/2016
  • Q5a

Trim 2, 2015/2016
  • Section A:
    • Q20
  • Section B:
    • Q1b, Q2b

Trim 2, 2014/2015
  • Section B:
    • Q4
  • Section C:
    • Q3c
]]> 2016-08-18 18:31:50 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118814630 Shortcut to Main Menu mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118873433 https://padlet.com/mmuvictor/DPS5018_main]]> 2016-08-19 06:42:56 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/118873433 Proof that the regression equation minimizes the squared error to the regression line mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/120838248 Squared error of regression line

Part 1 of Proof

Part 2 of Proof

Part 3 of Proof

Part 4 of Proof
]]> 2016-08-31 14:36:27 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/120838248 Practice Problems mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/121500032 Scatter Plots and More]]> 2016-09-04 19:57:06 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/121500032 Regression Line minimizes variance along the y-axis mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/121652332 The Regression Line (in the attached image) is denoted by:
E[Y] = β₀ + β₁ * x]]> 2016-09-06 01:00:50 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/121652332 Sum of Squared Error mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123315762 The attached image uses the following notations:

Regression Line is denoted by:
ŷ = β₀ + β₁ * x

Sum of Squared Error is denoted by:
SSE = Σ(yᵢ - ŷᵢ)²]]> 2016-09-13 00:29:20 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123315762 Regression Line minimizes Sum of Squared Error mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123315989 The Regression Line (in the attached image) is denoted denoted by:
Y = β₀ + β₁ * X

The Sum of Squared Error (in the attached image) is denoted by:
SS(Error) = Σ(yᵢ - Yᵢ)²]]> 2016-09-13 00:31:41 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123315989 Correlation and Dependence mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123318061 Correlation measures the extent to which two variables have a linear relationship with each other:

It is important to note that Correlation does not imply causation
]]> 2016-09-13 00:55:53 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123318061 Application of Linear Regression: Estimating the price of a real estate mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123325004 2016-09-13 02:07:21 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123325004 Advanced Application of Linear Regression: Estimating the price of a real estate based on two dependent variables (i.e. 3D data points) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123325254 2016-09-13 02:09:33 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123325254 Non-Linear Regression mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123325552 There are several non-linear curves that can be transformed into linear curves. Using a non-linear transformation, you can easily solve non-linear problems as a linear (straight-line) problem.

The following website explains some of the more commonly used non-linear regression models and how to transform them into linear regression:]]> 2016-09-13 02:11:56 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123325552 Week 12 (Case Study) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123359039 Analyzing a Fireball spell]]> 2016-09-13 08:03:01 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123359039 Week 12 (Case Study) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123359095 Analyzing a Teleport spell]]> 2016-09-13 08:03:26 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123359095 Summarized and Detailed Notes for Week 12 Tutorial mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123390933 2016-09-13 11:24:41 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123390933 Application of Linear Regression: Distance Measurement via Ultrasonic Sensor mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123630732 http://pubs.sciepub.com/automation/3/3/6/]]> 2016-09-13 22:51:56 UTC https://padlet.com/mmuvictor/DPS5018_topic_7/wish/123630732