how technology can make my life easier when graphing!
DESCRIPTION
How technology can make my life easier when graphing!. Compute (using technology) and interpret the correlation coefficient of a linear fit . MAFS.912.S-ID.3.8. The Correlation Coefficient. Real World Data What do you see? - PowerPoint PPT PresentationTRANSCRIPT
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HOW TECHNOLOGY CAN MAKE MY LIFE
EASIER WHEN GRAPHING!
Compute (using technology) and interpret the correlation coefficient of a linear fit.
MAFS.912.S-ID.3.8
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THE CORRELATION COEFFICIENT
Real World Data
What do you see?
In your groups
discuss the graph.
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LESSON WARM-UPLets review the correlation of scatter plots
Do the following graphs have,
POSITIVE, NEGATIVE or NO CORRELATION?
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LESSON WARM-UPPOSITIVE, NEGATIVE or NO CORRELATION?
NEGATIVE POSITIVE NO CORRELATION CORRELATION CORRELATION
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LESSON WARM-UPPOSITIVE, NEGATIVE or NO CORRELATION?
NEGATIVE POSITIVE NO CORRELATION CORRELATION CORRELATION* Decreases or * Increases or * No pattern goes down goes up points allfrom left to right from left to right over the graph
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LESSON WARM-UPLINE OF BEST FIT
Could you draw a line through the middle of the data?
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LESSON WARM-UPLINE OF BEST FIT
Could you draw a line through the middle of the data?
Drawing the line of best fit Draw a line right through the middle of the data, with roughly the same number of points above the line as below the line.
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THE CORRELATION COEFFICIENT
What is the correlation coefficient?
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THE CORRELATION COEFFICIENT
What is the correlation coefficient?
http://tube.geogebra.org/student/m128082
What can you do with this tool?What do you notice?
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THE CORRELATION COEFFICIENT
What is the correlation coefficient?
The correlation coefficient is a number between -1 and 1 that shows the strength and type of relationship between two variables.
The correlation coefficient can be referred to as “R”
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THE CORRELATION COEFFICIENT
What would that look like on a graph?If the correlation coefficient “R” number is:
Between -1 and 0 0 Between 0 and 1
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THE CORRELATION COEFFICIENT
What would that look like on a graph?If the correlation coefficient “R” number is:
Between -1 and 0 0 Between 0 and 1
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THE CORRELATION COEFFICIENT
What is the correlation coefficient?
If the correlation coefficient “R” number is:
Between -1 and 0 0 Between 0 and 1
The correlation The correlation
is negative No correlation is positive
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THE CORRELATION COEFFICIENT
What would that look like on a graph?If the correlation coefficient “R” number is:
Between -1 and 0 0 Between 0 and 1
Negative No Positive
Correlation Correlation Correlation
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THE CORRELATION COEFFICIENT
Is the correlation coefficient weak or strong?For the negative correlation, if the correlation coefficient “R” number is:
Closer to -1 Closer to 0
The correlation The correlation
is strong is weak
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THE CORRELATION COEFFICIENT
Is the correlation coefficient weak or strong?For the NEGATIVE correlation, if the correlation coefficient “R” number is: Closer to -1 -0.5 Closer to 0
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THE CORRELATION COEFFICIENT
Is the correlation coefficient weak or strong?For the negative correlation, if the correlation coefficient “R” number is: Closer to -1 -0.5 Closer to 0
NEGATIVE STRONG NEGATIVE WEAK
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THE CORRELATION COEFFICIENT
Is the correlation coefficient weak or strong?For the positive correlation, if the correlation coefficient “R” number is:
Closer to 0 Closer to 1
The correlation The correlation
is weak strong
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THE CORRELATION COEFFICIENT
Is the correlation coefficient weak or strong?For the POSITIVE correlation, if the correlation coefficient “R” number is: Closer to 0 0.5 Closer to 1
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THE CORRELATION COEFFICIENT
Is the correlation coefficient weak or strong?For the POSITIVE correlation, if the correlation coefficient “R” number is: Closer to 0 0.5 Closer to 1
POSITIVE WEAK POSITIVE STRONG
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MATCHING GAME
In your groups: Take the matching game worksheet and cut
out and separate the: * 4 graphs * 4 Descriptions * 4 “R” numbers * Correlation Types * Correlation Strength
Now in your groups work together to match the: Graph Description “R” number Correlation Strength Correlation Type
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GROUP TASK:
In your groups: You will work together to complete your task.
You will be graphing two measurements of your choice, such as: Height Foot length Arm length
You will work together to: Create a graph on paper to predict the
correlation Create a graph electronically using GeoGebra
software to confirm the correlation coefficient.
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CALCULATING THE CORRELATION COEFFICIENT
It can be calculated using technology such as excel or GeoGebra – we will be using GeoGGebra today.
http://www.trialrun.com/pop-ups/pearsons_correlation.html
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GROUP TASK II:
Using GeoGebra
You will work together to complete your task. The worksheet will ask you questions, you
must answers these in full sentences! Enter the data into GeoGebra Create a graph Add a Line of Best Fit Find the statistics of the data Locate the Correlation Coefficient “R”