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5.7 Statistics: Scatter Plots and Lines of Best Fit

5.7 Statistics: Scatter Plots and Lines of Best Fit. What is a scatter plot?. A scatter plot is a graph in which two sets of data are plotted as ordered pairs in a coordinate plane. Scatter plots are used to investigate the relationship between two quantities.

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5.7 Statistics: Scatter Plots and Lines of Best Fit

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  1. 5.7 Statistics:Scatter Plots andLines of Best Fit

  2. What is a scatter plot? • A scatter plot is a graph in which two sets of data are plotted as ordered pairs in a coordinate plane. Scatter plots are used to investigate the relationship between two quantities.

  3. Types of Relationships/Correlation • Positive correlation: when the relationship between x and y is “as x increases, y increases.” • The data displayed on the graph resembles a line rising from left to right.  Since the slope of the line is positive, there is a positive correlation between the two sets of data.

  4. Negative correlation: when the relationship between x and y is “as x increases, y decreases.” • If the slope of the line had been negative (falling from left to right), a negative correlation would exist.

  5. No correlation: when there appears to be no relationship between x and y. • If the plot on the graph is scattered in such a way that it does not approximate a line (it does not appear to rise or fall), there is no correlation between the sets of data.

  6. Make a sketch of each kind.

  7. http://regentsprep.org/REgents/math/ALGEBRA/AD4/indexAD4.htm • http://www.itl.nist.gov/div898/handbook/eda/section3/scatter1.htm • http://www.itl.nist.gov/div898/handbook/eda/section3/scatter2.htm • http://www.itl.nist.gov/div898/handbook/eda/section3/scatter3.htm • http://www.itl.nist.gov/div898/handbook/eda/section3/scatter4.htm • http://www.mste.uiuc.edu/courses/ci330ms/youtsey/scatterinfo.html • Look at example 1 a and b in your book on pg. 299.

  8. Line of Fit • A line of best fit is a straight line that best represents the data on a scatter plot.  This line may pass through some of the points, none of the points, or all of the points. • This line describes the trendof the data. You can find the equation of this line. We will write this in slope-intercept form or point-slope form to write the equation.

  9. http://regentsprep.org/REgents/math/ALGEBRA/AD4/indexAD4.htm • http://staff.argyll.epsb.ca/jreed/math9/strand4/scatterPlot.htm • http://www.worsleyschool.net/science/files/scatter/plots.html • http://hotmath.com/help/gt/genericalg2/section_2_6.html • Look at example 2 on pg. 300 in your book.

  10. Linear Extrapolationvs.Linear Interpolation • Linear extrapolation is when you use a linear equation to predict values that are beyond/outside the range of data. (pg. 283, Ex. 4) • Linear interpolation is when you use the linear equation to predict values that are inside the range of data. (pg. 301, Ex. 3)

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