DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Please pick up your Name Tag and a Calculator
Do Now: Continue with Packet from last week and complete questions 5 & 6. Be prepared to show your work.
Turn and Talk to someone at your Table. Do you have the same answers? Did you use the same method or different methods?
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
5.
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
5.
0.97
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
6.
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
6.
-0.93
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Discrete Math Google Classroom Codes:
Discrete Math (B) - Period 2 - seyq44j
Discrete Math (B) - Period 3 - zllw5q4
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
+ + + None - - -
Perfect Strong Weak Weak Strong Perfect
Review: What can you tell me about the Correlation Coefficient?
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
+ + + None - - -
Perfect Strong Weak Weak Strong Perfect
Review: What can you tell me about the Correlation Coefficient?
Between 1 and -1, the closer to 1 or -1 the stronger the correlation.
Period 2 Only - Review Problems from 10/23
Period 2 Only - Review Problems from 10/23
Period 2 Only - Review Problems from 10/23
Period 2 Only - Review Problems from 10/23
Discrete Math 10/23 - Scatter Plots & Correlation Coefficient
Solutions
b. -0.9 (closest to 1 or -1)
c. 0.2 (closest to 0)
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Where are Scatter Plots and the Correlation Coefficient used in the real world?
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Where are Scatter Plots and the Correlation Coefficient used in the real world?
Finance & Business - Investment Managers use the Correlation Coefficient of different stocks to balance investment portfolios and some businesses use the Correlation Coefficient to predict future sales and market trends.
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Make a Table
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Temperature and Bathing Suit Sales
X - Temp. | Y - Sales |
70 | 5 |
80 | 10 |
90 | 15 |
100 | 20 |
110 | 25 |
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Now, clear your desk, and sign on to Google Classroom for the Scatter Plots Quiz. If we have time at the end of class, I will show you how to calculate the Correlation Coefficient on the TI-84 calculator, but you don’t need to know this for the Quiz.
Read each question carefully and feel free to ask me questions to clarify.
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
r = 1
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Now use this method to complete Problems 7 and 8.
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Now use this method to complete Problems 7 and 8.
r = .94 / strong (close to 1)
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Questions 9 and 10
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
Questions 9 and 10
Positive, Explanatory = Independent = Age,
Responsive = Dependent = Time (Time
depends on age)
DM - 10/31 - Scatter Plots & Correlation Coefficient (cont) - Per 2
How did you grow as a Mathematician today?
DM - 10/31 - Scatter Plots & Solving Linear Equations - Per 3
Please get your Name Tag, a Calculator, and Sign into your Chromebook
Today is your Quiz on “Scatter Plots and the Correlation Coefficient”. Please clear your desk. You can find the Quiz on Google Classroom. Read each question carefully and feel free to ask me questions to clarify.
After the Quiz, we will be practicing Solving Linear Equations
DM - 10/31 - Scatter Plots & Solving Linear Equations - Per 2
Solve. Share your answers with someone at your table. Do you agree or disagree?
-3(8 + 3h) = 5h + 4
8x - 4 = 2(4x - 4)
DM - 10/31 - Scatter Plots & Solving Linear Equations - Per 2
Solve. Share your answers with someone at your table. Do you agree or disagree?
-3(8 + 3h) = 5h + 4 = -2
8x - 4 = 2(4x - 4) - No Solution
DM - 10/31 - Scatter Plots & Solving Linear Equations - Per 2
Reminder: Quiz on “Solving Linear Equations” tomorrow in Algebra.
We will be practicing Solving Linear Equations on Quizizz. Please take out your Notebook or get Scrap Paper from the back to work out the problems, go to joinmyquiz.com and wait for the Code.
11/2 - Sets and Probability - Day 1
Please get the packet from the Take 1 Box
Do Now:
A set is an unordered collection of objects. They are written with curly brackets, { } and each element is separated by a comma.
Make up 2 sets: 1. The people at your table 2. The ages of the people who live in your house.
Share your sets with others at your table.
11/2 - Sets and Probability - Day 1
Announcements:
Powerschool: I have posted more Grades in Powerschool. Check your Grade and make up any Missing Assignments ASAP. MP1 ends Monday, 11/13. All work complete by next Wed. 11/8.
Homework: No Discrete Homework this week, but Algebra Homework is posted on Google Classroom and due tomorrow by midnight. Use Hints & Examples to help you:)
District Test - Cycle 1 - Wednesday, 11/8.
Note: Please hand in your Scatter Plot Packet Classwork
11/2 - Sets and Probability - Day 1
Objective: Given 4 multi-part problems on Sets, students will be able to complete at least 3 Set problems
Note: As we go through the Set Packet, fill in any missing information and add anything you think is important.
11/2 - Sets and Probability - Day 1
11/2 - Sets and Probability - Day 1
11/2 - Sets and Probability - Day 1
11/2 - Sets and Probability - Day 1
Belongs To
Does Not Belong To
Null Set or Empty Set
Union of 2 Sets
Intersection of 2 Sets
11/2 - Sets and Probability - Day 1
Elements of Sets
∈ - Belongs To ∉ - Does Not Belong To
Try It!
1.If a set A = {3, 6, 9, 10, 13, 18}. State whether the following statements are “true” or “false” and state why:
(i) 7 ∈ A
(ii) 10 ∉ A
(iii) 13 ∈ A
(iv) 9, 10 ∈ A
(v) 12, 14, 15 ∈ A
11/2 - Sets and Probability - Day 1
Elements of Sets
∈ - Belongs To ∉ - Does Not Belong To
Try It!
1.If a set A = {3, 6, 9, 10, 13, 18}. State whether the following statements are “true” or “false” and state why:
(i) 7 ∈ A - False. 7 does not belong in Set A. It is not an element of A.
(ii) 10 ∉ A - True
(iii) 13 ∈ A - True
(iv) 9, 10 ∈ A - True
(v) 12, 14, 15 ∈ A - False
11/2 - Sets and Probability - Day 1
11/2 - Sets and Probability - Day 1
11/2 - Sets and Probability - Day 1
Intersection of Sets ∩
Please explain in your own words. Questions?
11/2 - Sets and Probability - Day 1
Definition:
Disjoint Sets: Sets that have ______ elements in common.
Examples
1. If A = {2, 4, 6, 8, 10} and B = {1, 3, 8,4,6}. Find A ∩ B.
2. If X = {a, b, c} and Y = {∅}. Find X ∩ Y.
11/2 - Sets and Probability - Day 1
Definition:
Disjoint Sets: Sets that have NO elements in common.
Examples
1. If A = {2, 4, 6, 8, 10} and B = {1, 3, 8,4,6}. Find A ∩ B.
A ∩ B = {4, 6, 8} (Common Elements in both Sets)
2. If X = {a, b, c} and Y = {∅}. Find X ∩ Y.
X ∩ Y = { } or ∅
*The Intersection of any Set and ∅ = Empty Set
11/2 - Sets and Probability - Day 1
Try It!
3. If set A = {4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15, 18} and set C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
(i) Find A ∩ B
(ii) Find B ∩ C
(iii) Find A ∩ C
11/2 - Sets and Probability - Day 1
Try It!
3. If set A = {4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15, 18} and set C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
(i) Find A ∩ B = {6, 12}
(ii) Find B ∩ C = {3, 6, 9}
(iii) Find A ∩ C = {4, 6, 8, 9}
11/2 - Sets and Probability - Day 1
Do you know some of these from numbers?
Which is the most important?
11/2 - Sets and Probability - Day 1
Union of Sets ⋃
11/2 - Sets and Probability - Day 1
Examples
1.If A = {1, 3, 7, 5} and B = {3, 7, 8, 9}. Find A ⋃ B.
2. If X = {a, e, i, o, u} and Y = {∅}. Find X ⋃ Y.
11/2 - Sets and Probability - Day 1
Examples
1.If A = {1, 3, 7, 5} and B = {3, 7, 8, 9}. Find A ⋃ B.
A ⋃ B = {1, 3, 5, 7, 8, 9}
2. If X = {a, e, i, o, u} and Y = {∅}. Find X ⋃ Y.
X ⋃ Y = {a, e, i, o, u}
Note: The Union of any set with an empty set is the set itself.
11/2 - Sets and Probability - Day 1
Union of Sets ⋃
Try It!
1. If set P = {2, 3, 4, 5, 6, 7}, set Q = {0, 3, 6, 9, 12} and set R = {2, 4, 6, 8}
(i) Find P ⋃ Q
(ii) Find P ⋃ R
(iii) Find Q ⋃ R
11/2 - Sets and Probability - Day 1
Union of Sets ⋃
Try It!
1. If set P = {2, 3, 4, 5, 6, 7}, set Q = {0, 3, 6, 9, 12} and set R = {2, 4, 6, 8}
(i) Find P ⋃ Q = {0, 2, 3, 4, 5, 6, 7, 9, 12} (Smallest set that contains all the elements of Set P and Set Q)
(ii) Find P ⋃ R = {2, 3, 4, 5, 6, 7, 8}
(iii) Find Q ⋃ R = {0, 2, 3 4, 6, 8, 9, 12}
11/2 - Sets and Probability - Day 1
Break
Break
Break