(b) Using the equation from part (a), estimate the velocity (in kilometers per second at which a galaxy 140 Mpc from Earth is traveling. (Round our answer to the nearest whole number.
(b) Using the equation from part (a), estimate the velocity (in kilometers per second at which a galaxy 140 Mpc from Earth is traveling. (Round our answer to the nearest whole number.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
(b) Using the equation from part (a), estimate the velocity (in kilometers per second at which a galaxy 140 Mpc from Earth is traveling. (Round our answer to the nearest whole number.)
Transcribed Image Text: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
12.2
271
46.2
58.2
46.2
29.1
4,575
✓
1,234
17,685
3,842
5,108
3,842
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.)
ý = 826.64 +62.54x|
(b) Using the equation from part (a), estimate the velocity (in kilometers per second) at which a galaxy 140 Mpc from Earth is traveling. (Round your answer to the nearest whole number.)
X km/s
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
| 51.8 | 4,590 |
| 12.2 | 1,159 |
| 271 | 17,685 |
| 46.2 | 3,742 |
| 58.2 | 5,108 |
| 46.2 | 3,742 |
| 29.1 | 1,714 |
What is the linear regression line
Solution
by Bartleby ExpertRecommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning