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.

(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. 

Transcribed Image Text:

Galaxy Virgo Ursa Minor Corona Borealis Bootes Distance 50 650 950 1700 Velocity 990 9,300 15,000 25,000