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)51.84,59012.21,23427117,69546.23,75258.25,11846.23,75229.11,734(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

Distance (Mpc) Velocity (km/s) 51.8 4,590 12.2 1,234 271 17,695 46.2 3,752 58.2 5,118…

Answered: Astronomer Edwin Hubble postulated a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

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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