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    Correlations, Correlation Coefficient, and Random Variables

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    Please help with the following problems.

    1. Describe the correlation in this graph (see graph in attachment)

    2. Which of these is true for the correlation coefficient?
    - its range is [-1 1]
    - we use r to represent it
    - we use r^2 to represent it
    - both 1 and 2
    - both 1 and 3

    3. Indicate whether the random variable x is discrete or continuous after each statement
    a) discrete or continuous: x is the exact volume of milk in each gallon container in a dairy
    b) discrete or continuous: x is the number of cars driving on a major highway
    c) discrete or continuous: x is the number of defective motherboards in a computer factory

    Please see the attached file for full problem description.

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    Solution Preview

    The answers are

    1. The correlation in the graph is moderate positive

    As we can use a line with positive slope (not small) to fit ...

    Solution Summary

    The following posting helps with a statistics problem. This solution provides a description of correlations, correlation coefficients, and discrete/continuous random variables.