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    Description of Correlation Analysis

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    Task: Make a scatter diagram of the following scores:

    (a) describe in words the general pattern of correlation, if any;
    (b) figure the correlation coefficient;
    (c) figure whether the correlation is statistically significant (use the .05 significance level, two-tailed);
    (d) explain the logic of what you have done,
    (e) give three logically possible directions of causality, indicating for each direction whether it is a reasonable explanation for the correlation in light of the variables involved (and why).

    Four research participants take a test of manual dexterity (high scores mean better dexterity) and an anxiety test (high scores mean more anxiety).

    The scores are as follows.
    Person Dexterity Anxiety
    1 1 10
    2 1 8
    3 2 4
    4 4 -2

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    Solution Preview

    I made the scatter plot in Excel. Please view the attached file.

    (a) Describe in words the general pattern of correlation, if any;

    There is a linear relationship between the data. There is a negative correlation (as one variable increases, the other decreases and vice versa).

    (b) Figure the correlation coefficient;

    The correlation coefficient is r. Find this by taking the square root of r-squared (displayed in the ...

    Solution Summary

    This solution provides a detailed step by step response which illustrates how to perform this correlation analysis based on the given data from four research participants. An Excel attachment file is also provided which contains the graph pertaining to this solution.