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An amateur astronomer is researching the statistical properties of known stars using a variety of databases. They collect the absolute magnitude or M V and stellar mass or M ⊙ for 30 stars. The absolute magnitude of a star is the intensity of light that would be observed from the star at a distance of 10 parsecs from the star. This is measured in terms of a particular band of the light spectrum, indicated by the subscript letter, which in this case is V for the visual light spectrum. The scale is logarithmic and M V that is 1 less than another comes from a star that is 10 times more luminous than the other. The stellar mass of a star is how many times the sun's mass it has. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.Absolute Magnitude V Stellar Mass
15.71 0.11
4.35 1.09
5.61 0.89
13.28 0.18
16.92 0.09
10.23 0.48
1.52 2.05
11.27 0.52
15.09 0.11
16.32 0.10
13.59 0.18
14.48 0.12
5.95 0.83
9.67 0.52
13.20 0.16
16.06 0.10
16.25 0.11
16.96 0.10
2.53 1.63
13.34 0.48
7.51 0.70
8.27 0.64
11.03 0.35
11.62 0.26
10.05 0.50
13.17 0.16
6.59 0.78
16.46 0.09
5.61 0.96
15.62 0.11


Sagot :

Input the given data values into an Excel spreadsheet. Then use the function called Correl to get the approximate answer of -0.93

According to this data, there's a very strong negative correlation between absolute magnitude of brightness vs stellar mass. Intuitively this makes sense because the more massive the star, the more energy it gives off, and hence why it's brighter.

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