The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. what percent of the variation in the number of yearly boaters can be explained by differences in lake sizes? a.74.3% b.55.2% c.44.8% d.37.2% algebra

The variation in any sample group is simply the square of the correlation coefficient, that is:

variation = r^2

Therefore given an r value, we can simply directly calculate for variation percentage.

variation = (0.743)^2

variation = 0.552 or 55.2%

B. 55.2%

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

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