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How technology can make my life easier when graphing!

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?

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How technology can make my life easier when graphing!

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  1. 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

  2. The Correlation Coefficient Real World Data What do you see? In your groups discuss the graph.

  3. Lesson warm-up Lets review the correlation of scatter plots Do the following graphs have, POSITIVE, NEGATIVE or NO CORRELATION?

  4. Lesson warm-up POSITIVE, NEGATIVE or NO CORRELATION? NEGATIVE POSITIVE NO CORRELATION CORRELATION CORRELATION

  5. Lesson warm-up POSITIVE, NEGATIVE or NO CORRELATION? NEGATIVE POSITIVE NO CORRELATION CORRELATION CORRELATION * Decreases or * Increases or * No pattern goes down goes up points all from left to right from left to right over the graph

  6. Lesson warm-up LINE OF BEST FIT Could you draw a line through the middle of the data?

  7. Lesson warm-up LINE 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.

  8. The Correlation Coefficient What is the correlation coefficient?

  9. 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?

  10. 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”

  11. 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

  12. 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

  13. 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

  14. 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 CorrelationCorrelation

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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.

  23. 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

  24. 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”

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