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.
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 Mpcis approximately3,260 light-years),and velocity is measured in kilometers per second.
Distance (Mpc) | Velocity (km/s) |
---|---|
51.8 | 4,565 |
12.2 | 1,169 |
271 | 17,620 |
46.2 | 3,807 |
58.2 | 5,133 |
46.2 | 3,807 |
29.1 | 1,689 |
(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.)=
62.78x+781.75
(b)Using the equation from part (a), estimate the velocity (in kilometers per second) at which a galaxy140Mpc from Earth is traveling. (Round your answer to the nearest whole number.)
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