Distant Galaxies In the late 1920s Edwin P. Hubble (1889-1953) determined both the distance to several galaxies and the velocity at which they were receding from Earth. Four galaxies with their distances in light-years and velocities in miles per second are listed in the table.
Galaxy | Distance | Velocity | |||
Virgo | 50 | 990 | |||
Ursa Minor | 650 | 9,300 | |||
Corona Borealis | 950 | 15,000 | |||
Bootes | 1700 | 25,000 |
Source: A. Sharov and 1. Novikov, Edwin Hubble: The Discoverer of the Big Bang Universe.
(a) Let x be distance and y be velocity. Plot the points in [−100, 1800, 100] by [−1000, 28000, 1000].
(b) Find the least-squares regression line.
(c) If the galaxy Hydra is receding at a speed of 37,000 miles per second, estimate its distance.
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