Scatter diagrams and correlation part 2

• Ges
• Middelbare school
• mavo
• Leerjaar 1

JdW-kijkwijzer

Lesopbouw:

1. VOORAF: Startklaar, Voorkennis activeren, Formatief Handelen
2. INSTRUCTIE: Leerdoelgericht werken, Inclusieve didactiek, Concrete en herkenbare voorbeelden, Formatief Handelen
3. TOEPASSING: Actieve verwerking, Formatief handelen 
4. EVALUATIE: Afsluiting

On the table:

Noteboek

Pen en pencil

Calculater

Laptop

Welkome to MYP5 Mathematics Lessen

In your bag:

Telefoon

 and other lessons material

Discuss formative assessment

Question 1a

Qualitative

Quantitative

Quantitative

Qualitative

Qualitative

Qualitative

Quantitative

1b

discrete

continous

continous

continous

continous

discrete

2

3

Calculate the value of a,b,c and d.

Verify that the median lies in the class 50<w≤60.

4                                                     

 

e Find de mod of data set. 

mod: 54

5) If a dataset of exam scores has one extremely low score that is much smaller than the rest, which measure of central tendency (mean, median, or mode) would best represent the "typical" score, and why?

6) I want to answer the following research question: What is the average number of hours that students with the age of 14-16 spend on social media each week?

What is considered a good sample for this research?

a) Asking all the girls of Johan de Witt with the age 14-16.

b) Asking your three best friends who are ages 14-16.

c) Randomly selecting 100 students from 14-16 from different classes

d) Asking 100 students from your football club with the age 14-16

On grouped histograms

  Be careful about boundaries

Goals of previous lesson

I know how to make scatter diagrams

I know the meaning of correlation

I know how to draw and use a line of best fit 

Questions about the homework?

Terugblik: which description
fits the figure best?

1. Strong positive correlation
2. Moderate positive correlation
3. Moderate negative correlation
4. No correlation

A scatter diagram shows a cloud of points with no clear pattern. What can you conclude about the data?

1. There is a strong positive correlation
2. There is a weak negative correlation
3. There is no correlation
4. There is no relationship between the variables.

Through which point should a line of best fit go?

correct answer: through (x_m ,y_m) where x_m is the mean of the x values and y_m is the mean of the y values. (or any other notation/explanation here)

What the goal of this lesson

I know how to make scatter diagrams and lines of best fit using technology (calculator)

I know how to recognize outliers in a data set

Example

Example - answers

..

"Pauze" the blackboard: then you can write on it.

What the goal of the last lesson

I know how to make scatter diagrams and lines of best fit using technology (calculator)

I know how to recognize outliers in a data set

I know the difference between causality and correlation

Are there questions on the homework?

What the goal of this lesson

I know how to make scatter diagrams and lines of best fit using technology (calculator)

I know how to recognize outliers in a data set

I know the difference between causality and correlation

Correlation and outliers

Terugblik: what is an outlier in a data set? Describe in your own words or give an example.

Correlation and outliers

Correlation and outliers

An outlier in a data set can arise in many ways. 

• Sometimes, an outlier is due to a human error: measuring errors, writing the wrong answer down, etc.
• But sometimes an outlier is a legitimate point! 
  
  

When researching statistics: If you think an outlier is because of an error, remove it from the data set. Otherwise, keep it.

Example

Deze met Numworks op het bord doen. 

Practising together

The table lists the time taken to sprint 400 metres by runners who all run in different temperatures as part of a study. 

Which scatter plot correctly represents the data in the table? 

The correct plot is:

1. plot A
2. plot B
3. plot C
4. neither is correct

How many runners were tested in the study?

1. 8
2. 9
3. 10
4. 11

there are 10 points on the data plot, so 10 runners were tested.

Is the correlation between temperature and sprint time positive or negative?

1. Positive
2. Negative
3. you cannot know it

As the temperature increases, sprint time tends to decrease.

Is the correlation between temperature and sprint time strong or weak?

1. strong
2. weak
3. you cannot know it

When the points on a scatter plot tend to follow a single line, the correlation is strong.

When the points on a scatter plot are scattered greatly around a single line, the correlation is weak.

Which combination of temperature and sprint time represents an outlier?

1. 8 degrees, 69 seconds
2. 2 degrees, 67 seconds
3. 7 degrees, 49 seconds
4. None of the data points

Which point, if any, on the scatter plot is positioned away from the rest of the data?

Lesson goals

I know how to make scatter diagrams and lines of best fit using technology (calculator)

I know how to recognize outliers in a data set

I know the difference between causality and correlation

Causality vs. correlation

• Correlation means there is a relationship between two variables;
• Causality means there is a causal relationship between two variables: one causes the other;
• One of the most common mistakes in statistics is mixing up causality and correlation.

Let's look at some more examples

Check lesson goals

I know how to make scatter diagrams and lines of best fit using technology (calculator - last week)

I know how to recognize outliers in a data set

I know the difference between causality and correlation

This was the last lesson on statistics. Friday mevrouw Ceylan will make a start with the next topic: probability theory. 

The IB-learner profile

We strive to be: 

1. researchers
2. knowledgeable
3. thinkers
4. communicators
5. principled
6. open-minded
7. caring
8. risk-takers
9. balanced
10. reflective

Jonge mensen opleiden tot breed georiënteerde wereldburgers die inzien dat zij samen één mensheid vormen en samen verantwoordelijk zijn voor onze planeet en op die manier kunnen bijdragen aan een betere en vreedzamere wereld. 

Homework

Worksheet 7

Paper is in the MYP5 map. 

Wishing you all an amazing holiday!