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Boundless Lecture Slides

Boundless Lecture Slides. Available on the Boundless Teaching Platform. Free to share, print, make copies and changes. Get yours at www.boundless.com. Using Boundless Presentations. Boundless Teaching Platform

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Boundless Lecture Slides

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  1. Boundless Lecture Slides Available on the Boundless Teaching Platform Free to share, print, make copies and changes. Get yours at www.boundless.com

  2. Using Boundless Presentations Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: • The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. http://boundless.com/teaching-platform • Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. If you have any questions or problems please email: educators@boundless.com Free to share, print, make copies and changes. Get yours at www.boundless.com

  3. About Boundless • Boundless is an innovative technology company making education more affordable and accessible for students everywhere. The company creates the world’s best open educational content in 20+ subjects that align to more than 1,000 popular college textbooks. Boundless integrates learning technology into all its premium books to help students study more efficiently at a fraction of the cost of traditional textbooks. The company also empowers educators to engage their students more effectively through customizable books and intuitive teaching tools as part of the Boundless Teaching Platform. More than 2 million learners access Boundless free and premium content each month across the company’s wide distribution platforms, including its website, iOS apps, Kindle books, and iBooks. To get started learning or teaching with Boundless, visit boundless.com. Free to share, print, make copies and changes. Get yours at www.boundless.com

  4. The Histogram Visualizing Data Graphing Data ] Visualizing Data Free to share, print, make copies and changes. Get yours at www.boundless.com

  5. Visualizing Data > The Histogram The Histogram • Cross Tabulation • Drawing a Histogram • Recognizing and Using a Histogram • The Density Scale • Types of Variables • Controlling for a Variable • Selective Breeding Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/statistics/textbooks/boundless-statistics-textbook/visualizing-data-3/the-histogram-18/

  6. Visualizing Data > Graphing Data Graphing Data • Statistical Graphics • Stem-and-Leaf Displays • Reading Points on a Graph • Plotting Points on a Graph • Slope and Intercept • Plotting Lines • The Equation of a Line Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/statistics/textbooks/boundless-statistics-textbook/visualizing-data-3/graphing-data-19/

  7. Appendix Free to share, print, make copies and changes. Get yours at www.boundless.com

  8. Visualizing Data Key terms • bell curveIn mathematics, the bell-shaped curve that is typical of the normal distribution. • box plotA graphical summary of a numerical data sample through five statistics: median, lower quartile, upper quartile, and some indication of more extreme upper and lower values. • breedingthe process through which propagation, growth, or development occurs • continuous variablea variable that has a continuous distribution function, such as temperature • controla separate group or subject in an experiment against which the results are compared where the primary variable is low or nonexistence • correlationOne of the several measures of the linear statistical relationship between two random variables, indicating both the strength and direction of the relationship. • cross tabulationa presentation of data in a tabular form to aid in identifying a relationship between variables • densitythe probability that an event will occur, as a function of some observed variable • discrete variablea variable that takes values from a finite or countable set, such as the number of legs of an animal • evolutiona gradual directional change, especially one leading to a more advanced or complex form; growth; development • frequencynumber of times an event occurred in an experiment (absolute frequency) • gradientof a function y = f(x) or the graph of such a function, the rate of change of y with respect to x, that is, the amount by which y changes for a certain (often unit) change in x Free to share, print, make copies and changes. Get yours at www.boundless.com

  9. Visualizing Data • graphA diagram displaying data; in particular one showing the relationship between two or more quantities, measurements or indicative numbers that may or may not have a specific mathematical formula relating them to each other. • histograma representation of tabulated frequencies, shown as adjacent rectangles, erected over discrete intervals (bins), with an area equal to the frequency of the observations in the interval • histograma representation of tabulated frequencies, shown as adjacent rectangles, erected over discrete intervals (bins), with an area equal to the frequency of the observations in the interval • histograma representation of tabulated frequencies, shown as adjacent rectangles, erected over discrete intervals (bins), with an area equal to the frequency of the observations in the interval • histograma representation of tabulated frequencies, shown as adjacent rectangles, erected over discrete intervals (bins), with an area equal to the frequency of the observations in the interval • interceptthe coordinate of the point at which a curve intersects an axis • interquartile rangeThe difference between the first and third quartiles; a robust measure of sample dispersion. • linea path through two or more points (compare ‘segment'); a continuous mark, including as made by a pen; any path, curved or straight • linear regressionan approach to modeling the relationship between a scalar dependent variable and one or more explanatory variables denoted . • outliera value in a statistical sample which does not fit a pattern that describes most other data points; specifically, a value that lies 1.5 IQR beyond the upper or lower quartile • plota graph or diagram drawn by hand or produced by a mechanical or electronic device • probability distributionA function of a discrete random variable yielding the probability that the variable will have a given value. Free to share, print, make copies and changes. Get yours at www.boundless.com

  10. Visualizing Data • quartileany of the three points that divide an ordered distribution into four parts, each containing a quarter of the population • scatter plotA type of display using Cartesian coordinates to display values for two variables for a set of data. • slopethe ratio of the vertical and horizontal distances between two points on a line; zero if the line is horizontal, undefined if it is vertical. • stemplota means of displaying data used especially in exploratory data analysis; another name for stem-and-leaf display • stochasticrandom; randomly determined • variablea quantity that may assume any one of a set of values • variablea quantity that may assume any one of a set of values Free to share, print, make copies and changes. Get yours at www.boundless.com

  11. Visualizing Data Data Table A data table showing elapsed time and measured speed. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Line chart."CC BY-SAhttps://en.wikipedia.org/wiki/Line_chartView on Boundless.com

  12. Visualizing Data Stem-and-Leaf Display This is an example of a stem-and-leaf display for EPA data on miles per gallon of gasoline. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Lab 1 - Stem-and-Leaf Display."CC BY-SAhttp://commons.wikimedia.org/wiki/File:Lab_1_-_Stem-and-Leaf_Display.pngView on Boundless.com

  13. Visualizing Data An example of a scatter plot A scatter plot helps identify the type of relationship (if any) between two variables. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Scatter diagram for quality characteristic XXX."CC BY-SAhttp://en.wikipedia.org/wiki/File:Scatter_diagram_for_quality_characteristic_XXX.svgView on Boundless.com

  14. Visualizing Data Crosstab of Cola Preference by Age and Gender A crosstab is a combination of various tables showing summary statistics. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Crosstab of Cola Preference by Age and Gender."CC BY-SAhttp://commons.wikimedia.org/wiki/File:Crosstab_of_Cola_Preference_by_Age_and_Gender.pngView on Boundless.com

  15. Visualizing Data Selective Breeding This Chihuahua mix and Great Dane show the wide range of dog breed sizes created using artificial selection, or selective breeding. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Big and little dog 1."CC BY-SAhttp://en.wikipedia.org/wiki/File:Big_and_little_dog_1.jpgView on Boundless.com

  16. Visualizing Data Line chart A graph of speed versus time Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Line chart."Public domainhttp://en.wikipedia.org/wiki/Line_chartView on Boundless.com

  17. Visualizing Data Dallinger Incubator Drawing of the incubator used by Dallinger in his evolution experiments. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Dallinger Incubator J.R.Microscop.Soc.1887p193."Public domainhttp://en.wikipedia.org/wiki/File:Dallinger_Incubator_J.R.Microscop.Soc.1887p193.pngView on Boundless.com

  18. Visualizing Data The Histogram This is an example of a histogram, depicting graphically the distribution of heights for 31 Black Cherry trees. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Black cherry tree histogram."CC BY-SAhttp://en.wikipedia.org/wiki/File:Black_cherry_tree_histogram.svgView on Boundless.com

  19. Visualizing Data Types of Variables Variables can be numeric or categorial, being further broken down in continuous and discrete, and nominal and ordinal variables. Free to share, print, make copies and changes. Get yours at www.boundless.com Austrailian Bureau of Statistics."Statistical Language - What are Variables?."CC BYhttp://www.abs.gov.au/websitedbs/a3121120.nsf/home/statistical+language+-+what+are+variablesView on Boundless.com

  20. Visualizing Data Controlling for Variables Controlling is very important in experimentation to ensure reliable results. For example, in an experiment to see which type of vinegar displays the greatest reaction to baking soda, the brand of baking soda should be controlled. Free to share, print, make copies and changes. Get yours at www.boundless.com Flickr."vinegar experiment | Flickr - Photo Sharing!."CC BYhttp://www.flickr.com/photos/jimmiehomeschoolmom/3464814231/View on Boundless.com

  21. Visualizing Data Scatterplot Scatter plot with a fitted regression line. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia."Scatterplot with a fitted regression line for Mean SVMgs = accelerometer output and MET value."CC BY-SAhttp://commons.wikimedia.org/wiki/File:Scatterplot_with_a_fitted_regression_line_for_Mean_SVMgs_=_accelerometer_output_and_MET_value.jpgView on Boundless.com

  22. Visualizing Data Slope The slope of a line in the plane is defined as the rise over the run, . Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Slope picture."Public domainhttp://en.wikipedia.org/wiki/File:Slope_picture.svgView on Boundless.com

  23. Visualizing Data Intercept Graph with a -intercept at . Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Y-intercept."CC BYhttp://en.wikipedia.org/wiki/File:Y-intercept.svgView on Boundless.com

  24. Visualizing Data Linear regression An example of a simple linear regression analysis Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Linear regression."Public domainhttp://en.wikipedia.org/wiki/File:Linear_regression.svgView on Boundless.com

  25. Visualizing Data The function of a lne Three lines — the red and blue lines have the same slope, while the red and green ones have same y-intercept. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."FuncionLineal01."CC BY-SAhttp://en.wikipedia.org/wiki/File:FuncionLineal01.svgView on Boundless.com

  26. Visualizing Data Contingency Table Contingency table created to display the numbers of individuals who are male and right-handed, male and left-handed, female and right-handed, and female and left-handed. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Contingency table."GNU FDLhttp://en.wikipedia.org/wiki/Contingency_tableView on Boundless.com

  27. Visualizing Data Relative Frequency The relative frequency of an event refers to the absolute frequency normalized by the total number of events. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Frequency (statistics)."GNU FDLhttp://en.wikipedia.org/wiki/Frequency_(statistics)View on Boundless.com

  28. Visualizing Data Histogram Versus Kernel Density Estimation Comparison of the histogram (left) and kernel density estimate (right) constructed using the same data. The 6 individual kernels are the red dashed curves, the kernel density estimate the blue curves. The data points are the rug plot on the horizontal axis. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Comparison of 1D histogram and KDE."CC BY-SAhttp://en.wikipedia.org/wiki/File:Comparison_of_1D_histogram_and_KDE.pngView on Boundless.com

  29. Visualizing Data Boxplot Versus Probability Density Function This image shows a boxplot and probability density function of a normal distribution. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Boxplot vs PDF."CC BY-SAhttp://en.wikipedia.org/wiki/File:Boxplot_vs_PDF.svgView on Boundless.com

  30. Visualizing Data Histogram Example This histogram depicts the relative frequency of heights for 100 semiprofessional soccer players. Note the roughly normal distribution, with the center of the curve around 66 inches. Free to share, print, make copies and changes. Get yours at www.boundless.com OER Commons.CC BYhttp://www.oercommons.org/courses/descriptive-statistics-histogram/viewView on Boundless.com

  31. Visualizing Data Attribution • Wiktionary."cross tabulation."CC BY-SA 3.0http://en.wiktionary.org/wiki/cross_tabulation • Wikipedia."Cross tabulation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Cross_tabulation • Wikipedia."Crosstab."CC BY-SA 3.0http://en.wikipedia.org/wiki/Crosstab • Wikipedia."Contingency table."CC BY-SA 3.0http://en.wikipedia.org/wiki/Contingency_table • Wiktionary."probability distribution."CC BY-SA 3.0http://en.wiktionary.org/wiki/probability_distribution • Wiktionary."frequency."CC BY-SA 3.0http://en.wiktionary.org/wiki/frequency • Wikipedia."Probability distribution."CC BY-SA 3.0http://en.wikipedia.org/wiki/Probability_distribution • Wikipedia."Histogram."CC BY-SA 3.0http://en.wikipedia.org/wiki/Histogram • Wikipedia."Frequency (statistics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Frequency_(statistics) • Wiktionary."interquartile range."CC BY-SA 3.0http://en.wiktionary.org/wiki/interquartile_range • Wiktionary."quartile."CC BY-SA 3.0http://en.wiktionary.org/wiki/quartile • Wiktionary."density."CC BY-SA 3.0http://en.wiktionary.org/wiki/density • Wikipedia."Histogram."CC BY-SA 3.0http://en.wikipedia.org/wiki/Histogram • Wikipedia."Box plot."CC BY-SA 3.0http://en.wikipedia.org/wiki/Box_plot • Wikipedia."Density estimation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Density_estimation • Wikipedia."Kernel density estimation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Kernel_density_estimation • Wikipedia."Probability density function."CC BY-SA 3.0http://en.wikipedia.org/wiki/Probability_density_function Free to share, print, make copies and changes. Get yours at www.boundless.com

  32. Visualizing Data • Wiktionary."discrete variable."CC BY-SA 3.0http://en.wiktionary.org/wiki/discrete_variable • Wiktionary."continuous variable."CC BY-SA 3.0http://en.wiktionary.org/wiki/continuous_variable • Wiktionary."variable."CC BY-SA 3.0http://en.wiktionary.org/wiki/variable • Austrailian Bureau of Statistics."Statistical Language - What are Variables?."CC BYhttp://www.abs.gov.au/websitedbs/a3121120.nsf/home/statistical+language+-+what+are+variables • Wiktionary."correlation."CC BY-SA 3.0http://en.wiktionary.org/wiki/correlation • Wiktionary."control."CC BY-SA 3.0http://en.wiktionary.org/wiki/control • Wiktionary."variable."CC BY-SA 3.0http://en.wiktionary.org/wiki/variable • Wikipedia."Variable (mathematics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Variable_(mathematics) • Wikipedia."Controlling for a variable."CC BY-SA 3.0http://en.wikipedia.org/wiki/Controlling_for_a_variable • Wiktionary."breeding."CC BY-SA 3.0http://en.wiktionary.org/wiki/breeding • Wiktionary."evolution."CC BY-SA 3.0http://en.wiktionary.org/wiki/evolution • Wiktionary."stochastic."CC BY-SA 3.0http://en.wiktionary.org/wiki/stochastic • Wikipedia."Experimental evolution."CC BY-SA 3.0http://en.wikipedia.org/wiki/Experimental_evolution • Wiktionary."scatter plot."CC BY-SA 3.0http://en.wiktionary.org/wiki/scatter_plot • Wiktionary."box plot."CC BY-SA 3.0http://en.wiktionary.org/wiki/box_plot • Wikipedia."histogram."CC BY-SA 3.0http://en.wikipedia.org/wiki/histogram • Wikipedia."Exploratory data analysis."CC BY-SA 3.0http://en.wikipedia.org/wiki/Exploratory_data_analysis • Wiktionary."stemplot."CC BY-SA 3.0http://en.wiktionary.org/wiki/stemplot • Wikipedia."histogram."CC BY-SA 3.0http://en.wikipedia.org/wiki/histogram Free to share, print, make copies and changes. Get yours at www.boundless.com

  33. Visualizing Data • Wiktionary."outlier."CC BY-SA 3.0http://en.wiktionary.org/wiki/outlier • Wikipedia."Stem-and-leaf display."CC BY-SA 3.0http://en.wikipedia.org/wiki/Stem-and-leaf_display • Wikipedia."Points and lines."CC BY-SA 3.0http://en.wikipedia.org/wiki/Points_and_lines • Wikipedia."Linear regression."CC BY-SA 3.0http://en.wikipedia.org/wiki/Linear_regression • Wiktionary."graph."CC BY-SA 3.0http://en.wiktionary.org/wiki/graph • Wiktionary."plot."CC BY-SA 3.0http://en.wiktionary.org/wiki/plot • Wikipedia."Plot (graphics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Plot_(graphics) • Wikipedia."Plot (graphics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Plot_(graphics) • Wikipedia."Scatterplot."CC BY-SA 3.0http://en.wikipedia.org/wiki/Scatterplot • Wiktionary."intercept."CC BY-SA 3.0http://en.wiktionary.org/wiki/intercept • Wiktionary."slope."CC BY-SA 3.0http://en.wiktionary.org/wiki/slope • Wikipedia."Y-intercept."CC BY-SA 3.0http://en.wikipedia.org/wiki/Y-intercept • Wikipedia."Slope."CC BY-SA 3.0http://en.wikipedia.org/wiki/Slope • Wiktionary."bell curve."CC BY-SA 3.0http://en.wiktionary.org/wiki/bell_curve • Wiktionary."gradient."CC BY-SA 3.0http://en.wiktionary.org/wiki/gradient • Wiktionary."line."CC BY-SA 3.0http://en.wiktionary.org/wiki/line • Wikipedia."Line chart."CC BY-SA 3.0http://en.wikipedia.org/wiki/Line_chart • Wikipedia."Line chart."CC BY-SA 3.0https://en.wikipedia.org/wiki/Line_chart • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//algebra/definition/linear-regression Free to share, print, make copies and changes. Get yours at www.boundless.com

  34. Visualizing Data • Wikipedia."Line equation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Line_equation • Wikipedia."Linear regression."CC BY-SA 3.0http://en.wikipedia.org/wiki/Linear_regression • Wikipedia."Correlation and dependence."CC BY-SA 3.0http://en.wikipedia.org/wiki/Correlation_and_dependence • Wikipedia."Simple linear regression."CC BY-SA 3.0http://en.wikipedia.org/wiki/Simple_linear_regression • Wikipedia."Histogram."CC BY-SA 3.0http://en.wikipedia.org/wiki/Histogram Free to share, print, make copies and changes. Get yours at www.boundless.com

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