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Mr.Anas Lahrichi
 5 min
 Individual/voice level 0
 Review your notes from last session
 WALT : How good is our model : residuals
 How to choose best model based on residuals
 WILF : Focused work and no chattiness
 TIB : There is a variety of models and only a
few are accurate, we need to be able to
choose
 Apologies for not posting the Khanacademy
skills
 Quiz 4 Thursday 11th October (Lesson 11 to
Lesson 15 in statistics package)
 There are two types of non linear
relationships : quadratic and exponential
 Having equations to represent our models
helps to predict
 For linear relationships : we use a line to
model the pattern
 I want you to be able to create the equation
for this type of model
 We will learn how to choose the best line of
fit
 What do we mean by line of best fit ?
 Line that best models a linear relationship
(closest to most values)
 What do we mean by residuals ?
 Difference in y values between actual and
predicted values
 What are residuals used for ?
 To determine which line is the best fit
 How do we use residuals ?
 The best fit line has the sum of residuals
close to 0
 Hardcopy is handed out
 Individual work,voice level 0
 I will be going around for help,raise your
hand
 Take 10 minutes to do this
 The line of best fit to a linear relationship is
the one that has the smallest sum of squared
residuals
 min( 𝑟𝑒𝑠𝑖𝑑𝑢𝑎𝑙𝑠
2
)
 Knowing the residuals,we can calculate the
error of prediction
 Small residuals => Good fit => Low error in
prediction
 Big residuals => Bad fit => Big error in
prediction
 Answer on the worksheet handed out per group
• Listen carefully to the instructions
• Take 15 minutes to do the exercises on your own
• Stay focused
• Voice level 1 discussions (no excessive noise)
• Raise your hand quietly for questions and wait for
me to come
Student Warning
1
Warning 2 Demerit
 Do not talk unless you have
permission (Raise your hand)
 No talking back (Come see in end
of class)
 Stay focused and on task
 Respect your classmates and
teacher
 Be prepared
 You are expected to do your homework on the
due date (no excuses)
 Every time you miss a homework you get a
strike,after 3 your parents are informed
 Not doing your homework will negatively affect
your grade in participation and quizzes
 The corrected quiz as well as rubrics will be posted on
Engrade.
 An individual assesment means no discussion at all. Any
talking will result in a 0.
 If you missed a quiz/test, you are responsible to come to
office hours to retake it.
 Come see me right after class or office hours to discuss
your copy, do not bring it up inside class.
 Any copy written in pencil cannot be considered for re-
grading, use a pen.

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Choosing the Best Model Line of Fit Using Residuals

  • 2.  5 min  Individual/voice level 0  Review your notes from last session
  • 3.  WALT : How good is our model : residuals  How to choose best model based on residuals  WILF : Focused work and no chattiness  TIB : There is a variety of models and only a few are accurate, we need to be able to choose
  • 4.  Apologies for not posting the Khanacademy skills  Quiz 4 Thursday 11th October (Lesson 11 to Lesson 15 in statistics package)
  • 5.  There are two types of non linear relationships : quadratic and exponential  Having equations to represent our models helps to predict
  • 6.  For linear relationships : we use a line to model the pattern  I want you to be able to create the equation for this type of model  We will learn how to choose the best line of fit
  • 7.
  • 8.
  • 9.
  • 10.  What do we mean by line of best fit ?  Line that best models a linear relationship (closest to most values)  What do we mean by residuals ?  Difference in y values between actual and predicted values  What are residuals used for ?  To determine which line is the best fit  How do we use residuals ?  The best fit line has the sum of residuals close to 0
  • 11.  Hardcopy is handed out  Individual work,voice level 0  I will be going around for help,raise your hand  Take 10 minutes to do this
  • 12.
  • 13.  The line of best fit to a linear relationship is the one that has the smallest sum of squared residuals  min( 𝑟𝑒𝑠𝑖𝑑𝑢𝑎𝑙𝑠 2 )
  • 14.  Knowing the residuals,we can calculate the error of prediction  Small residuals => Good fit => Low error in prediction  Big residuals => Bad fit => Big error in prediction
  • 15.
  • 16.
  • 17.  Answer on the worksheet handed out per group • Listen carefully to the instructions • Take 15 minutes to do the exercises on your own • Stay focused • Voice level 1 discussions (no excessive noise) • Raise your hand quietly for questions and wait for me to come
  • 19.  Do not talk unless you have permission (Raise your hand)  No talking back (Come see in end of class)  Stay focused and on task  Respect your classmates and teacher  Be prepared
  • 20.  You are expected to do your homework on the due date (no excuses)  Every time you miss a homework you get a strike,after 3 your parents are informed  Not doing your homework will negatively affect your grade in participation and quizzes
  • 21.  The corrected quiz as well as rubrics will be posted on Engrade.  An individual assesment means no discussion at all. Any talking will result in a 0.  If you missed a quiz/test, you are responsible to come to office hours to retake it.  Come see me right after class or office hours to discuss your copy, do not bring it up inside class.  Any copy written in pencil cannot be considered for re- grading, use a pen.