pp math class
DESCRIPTION
This is a power point presentation designed for high school students. Its content covers scatterplots and correlation.TRANSCRIPT
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Scatterplots&
Correlation
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What is a scatterplot?
A scatterplot is a graph of points used to show the relationship between two sets of data
Bivariate data is two sets of variables measured in a single experimental unit
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When making a scatterplot remember to…
Label variables
Give values of variables
Keep constant intervals on graph
Do NOT connect dots
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ExamplesGood or bad? Good or bad?
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Your turn!Create a scatterplot for the relationship between
height and weight.
Height (x)
5’9 6’3 5’4 6’1 6’0
Weight (y)
125 152 103 145 140
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Correct graph
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Relations between X and Y
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No Correlation
http://mste.illinois.edu/courses/ci330ms/youtsey/scatterinfo.html
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CorrelationStrong, weak or none?
http://allpsych.com/researchmethods/correlation.html
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What is an Outlier?
An outlier is a number that is distant from the set.There can be numerous outliers.There can be no outliers.
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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
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Find the outliers using a graph
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Draw A Scatterplot.Find outliers.
Find correlation.
Study time (x) vs. grades (y)
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
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Correct Answer
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Real World UseUS population vs. time
US population from 1790-1940year pop (millions)1790 3.9291800 5.3081810 7.2401820 9.6381830 12.8661840 17.0691850 23.1921860 31.4431870 38.5581880 50.1561890 62.9481900 75.9951910 91.9721920 105.7111930 122.7751940 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.
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What We LearnedWhat scatterplots are used for.
How to plot on a scatterplot.
Different types of correlation.
How to find outliers.
How scatterplots are used worldwide.