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.x101214161820y1.71.71.51.41.00.7Complete parts e and f please. given Σx = 90, Σy = 8, Σx2 = 1420, Σy2 = 11.48, Σxy = 112.8, and r ≈ −0.9542.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? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.)r2 = explained %unexplained %(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? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.)r2 = explained %unexplained % (f) Suppose a pharmaceutical company has 18 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

e) r ≈ −0.9542. The coefficient of determination r2: r^2=(-0.9542)^2=0.9105 The percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line is, r^2=0.9105*100%=91.05% The percentage is unexplained is, 1-r2=1-0.9105=0.0895*100%=8.95%. r2 = 0.9105 explained 91.05 % unexplained 8.95%f From the previous parts, The regression equation is, y^=2.876-0.103x. Suppose a pharmaceutical company has 18 different research programs. The least-squares equation forecast for y = mean number of patents per program is, y^=2.876-(0.103*18) = 1.02 patents per program

Answered: Let x be the number of different…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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.

x	10	12	14	16	18	20
y	1.7	1.7	1.5	1.4	1.0	0.7

Complete parts e and f please. given Σx = 90, Σy = 8, Σx² = 1420, Σy² = 11.48, Σxy = 112.8, and

r ≈ −0.9542.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? (Round your answer for r² to four decimal places. Round your answers for the percentages to two decimal place.)

r² =
explained	%
unexplained	%

(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? (Round your answer for r² to four decimal places. Round your answers for the percentages to two decimal place.)

r² =
explained	%
unexplained	%

(f) Suppose a pharmaceutical company has 18 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

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