In 1929 Edwin Hubble investigated the claim that distance (explanatory) and radial velocity (response) of extragalactic nebulae are positively linearly related. Hubble's data is plotted below along with the relevant diagnostic plots. These are the plots and charts needed to analyze data are given below. (Assume all observations are independent) Reference: Hubble, E. (1929) "A Relationship Between Distance and Radial Velocity among Extra-Galactic Nebulae," Proceedings of the National Academy of Science, 168.
The explanatory variable is distance (in megaparsecs) and the response is radial velocity (velocity away or towards the earth). Use 3 decimal places for the following questions.(a) What is the regression equation?
(b) What is the estimated mean velocity of objects that are 1.9 megaparsecs from Earth?
(c) If you were to test the claim that there is a positive linear relationship between the explanatory and response variable, what would your null and alternative hypotheses be?
H0: a = 0 and Ha: a < 0
H0: a = 0 and Ha: a ? 0
H0: a = 0 and Ha: a > 0
H0: b = 0 and Ha: b < 0
H0: b = 0 and Ha: b ? 0
H0: b = 0 and Ha: b > 0
Please provide explaination.