x 10 12 14 16 18 20 y 1.8 1.7 1.6 1.4 1.0 0.7 given Σx = 90, Σy = 8.2, Σx2 = 1420, Σy2 = 12.14, Σxy = 115.2, and r ≈ −0.9650 Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.) 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 % Suppose a pharmaceutical company has 16 different research programs. What does the least-squares equation forecast for y = mean number of patents per program? patents per program
x 10 12 14 16 18 20 y 1.8 1.7 1.6 1.4 1.0 0.7 given Σx = 90, Σy = 8.2, Σx2 = 1420, Σy2 = 12.14, Σxy = 115.2, and r ≈ −0.9650 Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.) 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 % Suppose a pharmaceutical company has 16 different research programs. What does the least-squares equation forecast for y = mean number of patents per program? patents per program
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
x 10 12 14 16 18 20
y 1.8 1.7 1.6 1.4 1.0 0.7
given Σx = 90, Σy = 8.2, Σx2 = 1420, Σy2 = 12.14, Σxy = 115.2, and
r ≈ −0.9650
Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.)
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 | % |
Suppose a pharmaceutical company has 16 different research programs. What does the least-squares equation forecast for y = mean number of patents per program?
patents per program
Expert Solution
Step 1
Given:
| x | y |
| 10 | 1.8 |
| 12 | 1.7 |
| 14 | 1.6 |
| 16 | 1.4 |
| 18 | 1 |
| 20 | 0.7 |
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