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An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the color index, or B-V index, and distance (in light years) from Earth for 30 stars. The color index of a star is the difference in the light absorption measured from the star using two different light filters (a B and a V filter). This then allows the scientist to know the star's temperature and a negative value means a hot blue star. A light year is the distance light can travel in 1 year, which is approximately 5.9 trillion miles. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.
B-V index 1.1 0.4 1 0.5 1.4 1 0.5 0.8 0.5 0.2 1.5 0.5 0.5 1.1 0.7 0.5 0 0.4 1 1.1 1.07 1.1 1.12 0.64 0.87 0.19 1.03 0.55 1.39 0.89
Distance (ly) 1380 556 771 304 532 751 267 229 552 896 1819 381 257 541 133 300 985 525 408 1367 2848 128.9 1766.2 186.5 8269.2 828.9 153 223.6 963.9 91.7
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