IPS6eCh02_2_3bb_extra

IPS6eCh02_2_3bb_extra - data. education. backtobackboxplots.

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Realize systematic relations can exist in categorical data as well as quantitative data. Consider income of people 25-65 years of age by a categorical variable: education. The Relationship between means and dispersion can be shown by back-to-back boxplots. Note the categorical variable education has a natural ordering. (graphic from IPS, 4 th ed.) - Note Chapter 2 considers quantitative (not qualitative data)

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Fig. 2.9 p.101 (6 th ed.) Two scatterplots Of same data – Different scale Can’t rely on visuals along Review Section 2.2 - Correlation
Formula can be used to calculate r, but other formulas are Easier to use – this one shows r is positive if large X’s are associated with large Y’s Pg 102 (6 th ed.)

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Figure 2.10 Page 104 (6 th ed.)
x = truth calories, y = guessed calories

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Calories y = 1.3036x + 58.588 R 2 = 0.6798 0 100 200 300 400 500 0 50 100 150 200 250 300 Actual calories Guessed calories Calories: Correct  Guessed 159 196 163 394 269 350 61 117 76 136 260 364 12 74 80 107 88 160 160 419 Consider “guessed calories” as a function of true calories Excel output
Recall:

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This technique if X is independent and measured without error.
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