Homework Help is Here – Start Your Trial Now!
Math
Statistics
#16 Research: Patents The following data are based on information from the Harvard Business Review. Let x be the number different research programs, and let y be the mean number of patents per program. As in any business, a company can spread itself too thin. For example, too many research programs might lead to a decline in overall research productivity. The following data are for a collection of pharmaceutical companies and their research programs: X 10 12 14 16 18 20 y 1.8 1.7 1.5 1.4 1.0 0.7 (a) Draw a scatter diagram displaying the data. (b) Verify the given Ex = 90, Ey = 8.1, Ex? = 1420. Ev² = 11.83. Exy = 113.8. and r z -0.973 %3D %3D

#16 Research: Patents The following data are based on information from the Harvard Business Review. Let x be the number different research programs, and let y be the mean number of patents per program. As in any business, a company can spread itself too thin. For example, too many research programs might lead to a decline in overall research productivity. The following data are for a collection of pharmaceutical companies and their research programs: X 10 12 14 16 18 20 y 1.8 1.7 1.5 1.4 1.0 0.7 (a) Draw a scatter diagram displaying the data. (b) Verify the given Ex = 90, Ey = 8.1, Ex? = 1420. Ev² = 11.83. Exy = 113.8. and r z -0.973 %3D %3D

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
#16 Research: Patents The following data are based on information from the Harvard Business Review. Let x be the number different research programs, and let y be the mean number of patents per program. As in any business, a company can spread itself too thin. For example, too many research programs might lead to a decline in overall research productivity. The following data are for a collection of pharmaceutical companies and their research programs: X 10 12 14 16 18 20 y 1.8 1.7 1.5 1.4 1.0 0.7 (a) Draw a scatter diagram displaying the data. (b) Verify the given Ex = 90, Ey = 8.1, Ex? = 1420, Ey² = 11.83, Exy = 113.8, and r = –0.973 (c) Find x, y,a, and b. Then find the equation of the least-squares line ŷ = a + bx. (d) Graph the least-squares line on your scatter diagram. Be sure to use the point (x,y) as one of the points on the line. (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (f) Suppose a pharmaceutical company has 15 different research programs, what does the least-squares equation forecast for y = mean number of patents per program?
Transcribed Image Text:#16 Research: Patents The following data are based on information from the Harvard Business Review. Let x be the number different research programs, and let y be the mean number of patents per program. As in any business, a company can spread itself too thin. For example, too many research programs might lead to a decline in overall research productivity. The following data are for a collection of pharmaceutical companies and their research programs: X 10 12 14 16 18 20 y 1.8 1.7 1.5 1.4 1.0 0.7 (a) Draw a scatter diagram displaying the data. (b) Verify the given Ex = 90, Ey = 8.1, Ex? = 1420, Ey² = 11.83, Exy = 113.8, and r = –0.973 (c) Find x, y,a, and b. Then find the equation of the least-squares line ŷ = a + bx. (d) Graph the least-squares line on your scatter diagram. Be sure to use the point (x,y) as one of the points on the line. (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (f) Suppose a pharmaceutical company has 15 different research programs, what does the least-squares equation forecast for y = mean number of patents per program?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS