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  • 22s:152 Applied Linear Regression

    Chapter 3: Examining Data————————————————————

    Review types of data

    Quantitative:

    • Continuous weights, heights, i.e. ‘decimal’ values

    • Discrete finite (or infinitely countable)number of values is possible

    ‘counts’ fall into this category

    Qualitative:

    • Categorical/Nominalgender: male/female

    color: green, blue, etc.

    • Ordinal high/median/low1

    Review terminology

    • Variable– a particular characteristic that may take

    on differet values for different subjects orexperimental units.

    e.g. age, weight, chemical make-up

    • Dependent variable– the ‘response’ variable

    – the thing we want to ‘predict’

    • Independent variable– an explanatory variable (there may be many)

    – a variable used to predict the response

    – can also be called ‘covariate’

    2

    • Observation

    – an observation is taken on a single subject,and corresponds to a row in a data matrixor table such as this...

    country infant.mortality gdp

    -------- ---------------- ---

    Afghanistan 154 2848

    Albania 32 863

    Algeria 44 1531

    American.Samoa 11 NA

    Andorra NA NA

    Angola 124 355

    – an observation includes independent anddependent variables

    3

    Examining Data————————————————————Visual investigation of numerical datais important (and very useful)

    • Are there outliers?• Are there any ‘suspect’ data points?

    40 60 80 100 120

    4060

    8010

    012

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    016

    0

    reported weight

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    malesfemales

    Davis, C. (1990) Body image and weight preoccupation: A com-

    parison between exercising and non-exercising women. Appetite,

    15, 1321.

    4

  • • Is there anything unusual in the data?

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