BERRIER MORGAN Stat Assignment #6

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University of Alabama *

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211

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Economics

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Apr 29, 2024

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pdf

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3

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Assignment #6 Chapter 2 Scatterplots pp. 85-100 Homework: #1 + 2.24, 2.25, 2.27, 2.34 Scatterplot : pairs of values plotted on a bi-coordinate plane Explanatory variable typically on the x axis ; Response variable typically on the y axis In scatterplot consider Form: linear or curvilinear Direction Positive association (dots tend upward as you more from left to right) Negative association (dots tend downward as you more from left to right) Zero association (the dots appear to be random) Strength of relationship Dots clustered more closely represents a stronger relationship Dots scattered more widely represent a weaker relationship Outliers (extreme values) 1. Identify the form of the following graphs using the words “ linear ”, “ curvilinear ”, or “ random Also identify the strength of the relationship using the words “ strong ”, “ moderate ”, or “ weak 2.34 (p 99): The World Bank collects data on internet use (number of users per 100 people) and birth rate (number of births per 1000 people). Figure 2.13 (p. 99 bottom of page) shows the scatter plot for 106 countries (a) Describe the relationship between variables The higher the percentage of internet use, the lower the birth rate (b) Your friend looks at the plot and concludes that using the Internet will decrease the number of babies born. Your friend is, of course, crazy. Explain what is the real relationship between these two variables. The real relationship between the variable is that countries where Internet use is more accessible, so is access to birth control methods, which limits the birth rate in these specific countries Form: Linear Form: Curvilinear Form: Random Strength: Strong Strength: Moderate Strength: Strong
2.24 (p 97): Plot data for normal young men comparing strength of dominant and non-dominant arms. Non-dominant Arm Data for normal young men: 2.25 (p 98): Plot data for baseball players comparing strength of dominant and non-dominant arms. Non-dominant Arm Here is data for baseball players: (b) Describe pattern including deviations: No deviations (c) Describe form, direction, strength Linear, positive association, strong (d) Any outliers? No (e) Approximately linear? Yes Dominant arm Non-dominant arm Dominant arm Non-dominant arm Dominant arm Non-dominant arm 16.3 15.7 19.8 20.0 18.7 17.7 26.9 25.2 13.1 12.3 15.2 15.5 18.7 17.9 17.5 14.4 16.2 14.4 22.0 19.1 20.1 15.9 15.0 14.1 14.8 12.0 18.7 13.7 12.9 12.3 (b) Describe pattern including deviations No deviations (c) Describe form, direction, strength Linear, positive association, strong (d) Any outliers? No (e) Approximately linear? Yes Dominant arm Non-dominant arm Dominant arm Non-dominant arm Dominant arm Non-dominant arm 19.3 17.0 20.8 14.6 17.1 13.6 Dominant arm Dominant arm
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