Scatterplots & Correlation
What is a scatterplot? <ul><li>A scatterplot is a graph of points used to show the relationship between two sets of data <...
When making a scatterplot remember to… <ul><li>Label variables </li></ul><ul><li>Give values of variables </li></ul><ul><l...
Examples <ul><li>Good or bad? </li></ul><ul><li>Good or bad? </li></ul>
Your turn! <ul><li>Create a scatterplot for the relationship between height and weight. </li></ul>Height (x) 5’9 6’3 5’4 6...
Correct graph
Relations between X and Y
No Correlation http://mste.illinois.edu/courses/ci330ms/youtsey/scatterinfo.html
Correlation <ul><li>Strong, weak or none? </li></ul>http://allpsych.com/researchmethods/correlation.html
What is an Outlier? <ul><li>An outlier is a number that is distant from the set. </li></ul><ul><ul><li>There can be numero...
Find the outlier(s) using a table. x 1 1 4 2 3 1 6 5 3 y 10 9 26 15 21 2 35 40 20
Find the outliers using a graph
Draw A Scatterplot. <ul><li>Find outliers. </li></ul><ul><li>Find correlation. </li></ul><ul><li>Study time (x) vs. grades...
Correct Answer
Real World Use <ul><li>US population vs. time </li></ul>US population from 1790-1940 year  pop (millions) 1790  3.929 1800...
What We Learned <ul><li>What scatterplots are used for. </li></ul><ul><li>How to plot on a scatterplot. </li></ul><ul><li>...
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PP math class

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PP math class

  1. 1. Scatterplots & Correlation
  2. 2. What is a scatterplot? <ul><li>A scatterplot is a graph of points used to show the relationship between two sets of data </li></ul><ul><li>Bivariate data is two sets of variables measured in a single experimental unit </li></ul>
  3. 3. When making a scatterplot remember to… <ul><li>Label variables </li></ul><ul><li>Give values of variables </li></ul><ul><li>Keep constant intervals on graph </li></ul><ul><li>Do NOT connect dots </li></ul>
  4. 4. Examples <ul><li>Good or bad? </li></ul><ul><li>Good or bad? </li></ul>
  5. 5. Your turn! <ul><li>Create a scatterplot for the relationship between height and weight. </li></ul>Height (x) 5’9 6’3 5’4 6’1 6’0 Weight (y) 125 152 103 145 140
  6. 6. Correct graph
  7. 7. Relations between X and Y
  8. 8. No Correlation http://mste.illinois.edu/courses/ci330ms/youtsey/scatterinfo.html
  9. 9. Correlation <ul><li>Strong, weak or none? </li></ul>http://allpsych.com/researchmethods/correlation.html
  10. 10. What is an Outlier? <ul><li>An outlier is a number that is distant from the set. </li></ul><ul><ul><li>There can be numerous outliers. </li></ul></ul><ul><ul><li>There can be no outliers. </li></ul></ul>
  11. 11. Find the outlier(s) using a table. x 1 1 4 2 3 1 6 5 3 y 10 9 26 15 21 2 35 40 20
  12. 12. Find the outliers using a graph
  13. 13. Draw A Scatterplot. <ul><li>Find outliers. </li></ul><ul><li>Find correlation. </li></ul><ul><li>Study time (x) vs. grades (y) </li></ul>x 1/2 3/4 3 7 5 2 4 2 6 1 0 y D+ C- B+ A+ A D- B+ A+ A- C F
  14. 14. Correct Answer
  15. 15. Real World Use <ul><li>US population vs. time </li></ul>US population from 1790-1940 year pop (millions) 1790 3.929 1800 5.308 1810 7.240 1820 9.638 1830 12.866 1840 17.069 1850 23.192 1860 31.443 1870 38.558 1880 50.156 1890 62.948 1900 75.995 1910 91.972 1920 105.711 1930 122.775 1940 131.410 Reference: Pearl, R., Reed, L. J. and Kish, J. F. (1940), The logistic curve and the census count of 1940; Science, vol 92, no. 2395, pp. 486-488.
  16. 16. What We Learned <ul><li>What scatterplots are used for. </li></ul><ul><li>How to plot on a scatterplot. </li></ul><ul><li>Different types of correlation. </li></ul><ul><li>How to find outliers. </li></ul><ul><li>How scatterplots are used worldwide. </li></ul>

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