Warm-Up: Help Your Neighbors! Wrap the ribbon around the thickest part of the base of your thumb in centimeters. Measure how much ribbon it took using.

Warm-Up: Help Your Neighbors!

• Wrap the ribbon around the thickest part of the base of your thumb in centimeters. Measure how much ribbon it took using the ruler. Record the measurement in your notes.

• Wrap the ribbon around the thinnest part of your wrist in centimeters. Measure how much ribbon it took using the ruler. Record the measurement in your notes.

Scatter Plots and Statistics

11.3 Reading Scatter Plots

Where Are We Going?• Day 1: Overview • Day 2: Misleading Data• Day 3: Reading Scatter Plots• Day 4: Creating Scatter Plots• Day 5: Solve for the Equation of a Trend Line• Day 6: Solve for the Equation of a Trend Line and

Judge Fit• Day 7: Predict Future Values from Scatter Plots• Review• Test: May 2nd

Daily Objectives

• SWBAT describe scatter plot trends• SWBAT identify what qualifies as an outlier

and describe the outlier’s location as a coordinate

(3 min) 11.2 Exit Ticket Review

• Look over your exit ticket with your neighbors and see if they can help you identify your mistakes

• Ask me if you still don’t understand!

We keep doing weird Warm-Ups Ms. Ramsel…what gives?

Wah.

Looking at Scatter Plot Data

• Our data from our wrist and thumb measurements are going to be our first scatter plot.

• Today I’ll make them or give them to you, tomorrow you’ll make them.

Creating A Graph from Our Data

• List your measurements as a coordinate– (Thumb, Wrist)

• When I call on your table, come to the front and add your measurements as a dot on our class graph.

Looking at Our Data

• Look at the relationship between thumb width and wrist width

• What is the correlation? – What happens to wrist width as thumb width

increases?

Positive Correlation

• Positive Correlation: As the x-values increase, the y-values also increase.

Data appears to be moving up and to the

right

Remember, Correlation

means “goes

together”

Remember, Correlation

means “goes

together”

Positive Correlation

• Positive correlation has a lot of different looks.

Strong Correlation: Data looks like a straight line

Weaker Correlation: Data is still positive, but not as obvious as before

Recognizing Positive Correlation in Written Form

• Remember, we’re looking for situations where the x and y values both increase!

Which situation describes a quantitative question that represents a positive correlation?(A)Age of owner and number of pets owned(B)Outdoor temperature and layers of clothing(C)Number of miles driven and amount spent on gas(D)Favorite tv show and hours spent watching that show

Brainstorm!

Brainstorm 3 different quantitative situations that would result in a positive correlation in your notes.

Most creative wins!

Ex) Years of schooling and annual pay

My brain hurts!My brain hurts!

Negative Correlation

• Negative Correlation: As the x increases, the y decreases. Move opposite of each other.

Data appears to be moving down and to

the right

Negative Correlation

• Negative Correlation also has a lot of looks.

Strong Negative Correlation: Data looks like a straight line

Weak Negative Correlation: Data is still negative, but not as obvious as before.

Recognizing Negative Correlation in Written Form

• Remember, we’re looking for situations where the x value increases, and the y value decreases!

Which situation describes a quantitative question that represents a negative correlation?(A)Age of owner and number of pets owned(B)Outdoor temperature and layers of clothing(C)Number of miles driven and amount spent on gas(D)Favorite tv show and hours spent watching that show

Brainstorm!

Brainstorm 3 different quantitative situations that would result in a negative correlation in your notes.

Most creative wins!

Ex) Number of cats and number of mice in house

Not again! NO!!!Not again! NO!!!

Yes. Thanks.

Uhh, Ms. Ramsel, I believe that sometimes data has

neither a positive or negative correlation.

What happens then?

Uhh, Ms. Ramsel, I believe that sometimes data has

neither a positive or negative correlation.

What happens then?So True!So True!

No Correlation• No Correlation: When data does not appear to

be related. Movement on the x-axis does not affect movement on the y-axis.

Data does not appear to follow a

pattern. X and Y are likely unrelated.

Recognizing No Correlation in Written Form

• Remember, we’re looking for situations where the the data is not related!

Which situation describes a quantitative question that represents a negative correlation?(A)Age of owner and number of pets owned(B)Outdoor temperature and layers of clothing(C)Number of miles driven and amount spent on gas(D)Favorite tv show and hours spent watching that show

Last Time: Brainstorm!

Brainstorm 3 different quantitative situations that would result in no correlation in your notes.

Most creative wins!

Ex) Shoe size and number of pets

I’m so tired of this! And your

speech bubbles aren’t funny!

I’m so tired of this! And your

speech bubbles aren’t funny!

Yes they are.

Outliers!!!

• Outlier: A set of data that doesn’t quite follow the trend of the other data.

Clearly a slight positive correlation

Well what are you doing little guy?

OUTLIER!!!!

Outliers• Identify the outliers to others by their

coordinates.

Example: Generally a slightly positive correlation with an outlier at (375, 14)

Looking Back

• Did we have outliers in our thumb vs. wrist size graph?

• What do you think these outliers represented?– Mistakes in measuring– Mistakes in graphing– Monster hands!

Time to Move On!• Work on classwork with your group mates• Exit Ticket 11.3• Homework 11.3

• Done early? Try the Extra Credit that was due today!– Find an example of misleading data in a

newspaper/magazine– Write 1 paragraph on why it is misleading– Write 1 paragraph on how you’d improve their

technique