You wish to determine if there is a linear correlation between the two variables at a significance level of ( alpha=0.001 ). You have the following bivariate data set.
egin{tabular}{|r|r|}
hline multicolumn{1}{|c|}{( mathbf{x} )} & multicolumn{1}{|c|}{( mathbf{y} )} \
hline 52.3 & 79 \
hline 77.1 & -1.3 \
hline 67.7 & 31.7 \
hline 19 & 157.6 \
hline 100.2 & -52.3 \
hline 69.6 & -1.4 \
hline 81.1 & 16.6 \
hline 44.3 & 79 \
hline 53.4 & 85.7 \
hline 87.8 & 19.3 \
hline 84.4 & 5.1 \
hline 76.6 & 60.6 \
hline 73.4 & 19.5 \
hline 57.7 & 42.6 \
hline 51.5 & 40.9 \
hline 75.4 & 41.3 \
hline 51.8 & 133.9 \
hline 59.1 & 57.8 \
hline 53.2 & 105.8 \
hline 56 & 82.8 \
hline 50.7 & 52 \
hline 64.2 & 42.5 \
hline 74.6 & 29.7 \
hline 78.2 & 4.9 \
hline 55.3 & 99.5 \
hline 23.7 & 175.4 \
hline 30.1 & 131 \
hline 19.2 & 200.9 \
hline 84.4 & 0.5 \
hline-4.6 & 211 \
hline 47 & 123.4 \
hline & \
hline
end{tabular}
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What is the correlation coefficient for this data set?
[
r=
]
(report answer accurate to at least 3 decimal places)
To find the ( p )-value for a correlation coefficient, you need to convert to a ( t )-score:
[
t=r cdot sqrt{frac{n-2}{1-r^{2}}}
]
