Please help me!!!!!?

Math problem: 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 1,189

271 17,670

46.2 3,787

58.2 5,108

46.2 3,787

29.1 1,764

(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 130 Mpc from Earth is traveling. (Round your answer to the nearest whole number.)

 km/s

1 Answer

Relevance
  • 2 months ago
    Favorite Answer

    Part a) 

    Well, these are observed values, so you'd probably take an average... You'd start with the distance = speed x the variable X:51.8 mpc = (4,590km/s)X 51.8 / 4590 = 0.0113 mpc / km/s12.2 / 1189 = 0.0103271 / 17260 = 0.015756.2 / 3787 = 0.014858.2 / 5108 = 0.011446.2 / 3787 = 0.012229.1 / 1764 = 0.0165The average would be 0.0132 mpc / km/s, or 1.32 x 10^-2 mpc / km/sPart b)130 mpc = 1.32 x 10-2 mpc/km/s) x V130 mpc / 1.32 x 10-2 mpc/km/s) = V9,849 km/s = V

Still have questions? Get your answers by asking now.