Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocity at which a galaxy appears to be traveling away from Earth. The following table shows observations of seven galaxies. Distance is measured in megaparsecs (1 Mpc is approximately 3,260 light-years), and velocity is measured in kilometers per second.
Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocity at which a galaxy appears to be traveling away from Earth. The following table shows observations of seven galaxies. Distance is measured in megaparsecs (1 Mpc is approximately 3,260 light-years), and velocity is measured in kilometers per second.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocity at which a galaxy appears to be traveling away from Earth. The following table shows observations of seven galaxies. Distance is measured in megaparsecs (1 Mpc is approximately 3,260 light-years), and velocity is measured in kilometers per second.
Distance (Mpc) | Velocity (km/s) |
---|---|
51.8 | 4,590 |
12.2 | 1,234 |
271 | 17,695 |
46.2 | 3,752 |
58.2 | 5,118 |
46.2 | 3,752 |
29.1 | 1,734 |
(a)
Find the equation of linear regression line for the data where distance is the independent variable, x, and velocity is the dependent variable. (Round your numerical answers to two decimal places.)
ŷ =
(b)
Using the equation from part (a), estimate the velocity (in kilometers per second) at which a galaxy 110 Mpc from Earth is traveling. (Round your answer to the nearest whole number.)
km/s
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