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pharmaceutical companies and their research programs. 12 14 16 18 1.6 1.5 1.7 14 10 07 Complete parts (a) through (e), given Ex= 90, Ey = 7.9, E- 1420, Ey - 11.15, Exy= 112.2, and r-0.870. (a) Draw a scatter diagram displaying the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit is properties NODOE

pharmaceutical companies and their research programs. 12 14 16 18 1.6 1.5 1.7 14 10 07 Complete parts (a) through (e), given Ex= 90, Ey = 7.9, E- 1420, Ey - 11.15, Exy= 112.2, and r-0.870. (a) Draw a scatter diagram displaying the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit is properties NODOE

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
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(b) Verify the given sums Ex, Ey, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σχ Σy - Ex? = Ey? Σχy- (c) Find x, and y. Then find the equation of the least-squares line ŷ x = = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) y = + (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 4 3 3 2 2 1 1 X X 10 15 20 5 10 15 20 -1 y y 4 4 3 3 2 1 X 10 15 20 5 10 15 20 -1 (e) Find the value of the coefficient of determination . 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? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) explained % unexplained (f) Suppose a pharmaceutical company has 14 different research programs. What does the least-squares equation forecast for y = mean number of patents per program? (Round your answer to two decimal places.) patents per program
Transcribed Image Text:(b) Verify the given sums Ex, Ey, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σχ Σy - Ex? = Ey? Σχy- (c) Find x, and y. Then find the equation of the least-squares line ŷ x = = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) y = + (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 4 3 3 2 2 1 1 X X 10 15 20 5 10 15 20 -1 y y 4 4 3 3 2 1 X 10 15 20 5 10 15 20 -1 (e) Find the value of the coefficient of determination . 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? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) explained % unexplained (f) Suppose a pharmaceutical company has 14 different research programs. What does the least-squares equation forecast for y = mean number of patents per program? (Round your answer to two decimal places.) patents per program
Let x be the number of 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. 10 12 14 16 18 20 y 1.6 1.5 1.7 1.4 1.0 0.7 Complete parts (a) through (e), given Ex = 90, Ey = 7.9, Ex = 1420, Ey? = 11.15, Exy = 112.2, and r= -0.870. (a) Draw a scatter diagram displaying the data. Graph Layers 1.9 After you add an object to the graph you 1.8 can use Graph Layers to view and edit its 1.7 properties. 1.6 1.5 1.4 1.3 1.2 No 1.1 Solution 1 0.9 0.8 0.7 0.6 O Help 9 10 11 12 13 14 15 16 17 18 19 20 21
Transcribed Image Text:Let x be the number of 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. 10 12 14 16 18 20 y 1.6 1.5 1.7 1.4 1.0 0.7 Complete parts (a) through (e), given Ex = 90, Ey = 7.9, Ex = 1420, Ey? = 11.15, Exy = 112.2, and r= -0.870. (a) Draw a scatter diagram displaying the data. Graph Layers 1.9 After you add an object to the graph you 1.8 can use Graph Layers to view and edit its 1.7 properties. 1.6 1.5 1.4 1.3 1.2 No 1.1 Solution 1 0.9 0.8 0.7 0.6 O Help 9 10 11 12 13 14 15 16 17 18 19 20 21
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