(c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 20 18 16 14 12 0.8 1.0 1.2 1.4 x (number of different research programs) 1.6 of patents per program) 1.6 1.4 1.2 1.0 0.8 10 20 18 14 10 12 14 16 18 20 0.8 1.0 1.2 1.4 1.6 x (number of different research programs) x (number of different research programs) (d) Find the value of the coefficient of determination 2. (Round your answer to four decimal places.) ,2= What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % (e) Suppose a pharmaceutical company has 15 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 y (mean = 5 0.8 1.0- 1.2- 10 12 14 16 18 20 x (number of different research programs)
(c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 20 18 16 14 12 0.8 1.0 1.2 1.4 x (number of different research programs) 1.6 of patents per program) 1.6 1.4 1.2 1.0 0.8 10 20 18 14 10 12 14 16 18 20 0.8 1.0 1.2 1.4 1.6 x (number of different research programs) x (number of different research programs) (d) Find the value of the coefficient of determination 2. (Round your answer to four decimal places.) ,2= What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % (e) Suppose a pharmaceutical company has 15 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 y (mean = 5 0.8 1.0- 1.2- 10 12 14 16 18 20 x (number of different research programs)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.2: Box-and-whisker Plots
Problem 1C
Related questions
Question
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.Complete parts (a) through (e) after verifying that Σx = 90, Σy = 8, Σx2 = 1,420, Σy2 = 11.46, Σxy = 113.4, and r ≈ −0.8857. (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. (d) Find the value of the coefficient of determination r2. (Round your answer to four decimal places.) Suppose a pharmaceutical company has 15 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.) Please answer ALL parts of C-E.
Transcribed Image Text:(c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
20
18
16
14
12
0.8
1.0
1.2
1.4
x (number of different research programs)
1.6
of patents per program)
1.6
1.4
1.2
1.0
0.8
10
20
18
14
10
12
14
16
18
20
0.8
1.0
1.2
1.4
1.6
x (number of different research programs)
x (number of different research programs)
(d) Find the value of the coefficient of determination 2. (Round your answer to four decimal places.)
,2=
What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.)
%
What percentage is unexplained? (Round your answer to two decimal places.)
%
(e) Suppose a pharmaceutical company has 15 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
y (mean = 5
0.8
1.0-
1.2-
10
12
14
16
18
20
x (number of different research programs)
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