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    Correlation and Regression Lines

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    A researcher desires to know whether the typing speed of a secretary (in words per minute) is related to the time (in hours) that it takes the secretary to learn to use a new word processing program. The data are shown.

    Speed x 48 74 52 79 83 56 85 63 88 74 90 92
    Time y 7 4 8 3.5 2 6 2.3 5 2.1 4.5 1.9 1.5

    (a) find the values of the correlation coefficient and the coefficient of determination.
    (b) find the slope, y-intercept, and equation of the regression line for the data.
    (c) plot the points and a graph of the regression line on the same axes.

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    Solution Summary

    The solution determines the correlation and regression lines of the data.