2. Spread the seats
Listen carefully to the instructions
Answer on your notebook,not graded
Get your notebook out and write the topics we have
covered so far (keywords only)
5 min
Individual/no discussions
Raise your hand quietly for questions and wait for me
to come
Stay seated until I ask you to give me back the papers
4. Quiz 4 Tuesday 9th October (Lesson 11 to
Lesson 15 in statistics package)
5. Khanacademy skills posted in Google
classroom
Good review for the quiz
Don’t miss it, no excuses
6. An association beween two numerical
variables can be represented in a scatterplot
Scatterplots could have patterns : linear or
non linear
A pattern in a scatterplot could be interpreted
as a correlation and eventually a causation (if
applies)
7. Some statistical values that are mindblowing
Voice level 0
If you have a question write it down until the
end of the video then ask it
https://www.youtube.com/watch?v=oGGYIw_
pIj8
8. How to model the patterns present in
scatterplots ?
Non-Linear pattern : described by a curve
Two types of functions often used in
modeling nonlinear relationships are
quadratic and exponential functions.
9.
10.
11. Why do we model relationships betwe”en data
as functions ?
It allows us to predict
Predict : Estimate values that are not present
in your data set
How can a graph be used to make a
prediction?
Estimate the value from the line or curve
How can a model(equation) be used to make
a prediction?
A value can be substituted for a variable in
the model to solve for the other variable.
12.
13.
14.
15. 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
16.
17.
18. 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
19.
20.
21.
22. 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
23. 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
24.
25. The line of best fit to a linear relationship is
the one that has the smallest sum of squared
residuals
min( 𝑟𝑒𝑠𝑖𝑑𝑢𝑎𝑙𝑠
2
)
26. 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
27.
28.
29. 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
31. 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
32. 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
33. 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.