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.