A materials engineer working for a furniture manufacturer wants to evaluate the rigidity of the particle board used by the manufacturer. The engineer collects stiffness data from pieces of particle board that have different densities at different temperatures. Determine the connection between the stiffness and the density of the wood. What does Pierson's r tell us? What is the regression between the stiffness and the density of the wood? Write the equation of the linear regression? density rigidity Temp 9.5 14.814 70.61056 8.4 17.502 73.34893 9.8 14.007 66.15377 11 19.443 70.05781 8.3 7.573 69.33919 9.9 14.191 69.12882 8.6 9.714 69.83351 6.4 8.076 64.36617 7 5.304 65.41039 8.2 10.728 67.76739 17.4 43.243 69.70053 15 25.319 66.93095 15.2 28.028 71.52362 16.4 41.792 66.60748 16.7 49.499 67.98685 15.4 25.312 64.29324 15 26.222 64.48343 14.5 22.148 71.3084 14.8 26.751 69.58755 13.6 18.036 71.13321 25.6 96.305 72.09707 24.4 72.594 67.32207 23.3 49.512 66.65597 19.5 32.207 68.12259 21.2 48.218 66.45621 22.8 70.453 65.66779 21.7 47.661 66.27887 19.8 38.138 69.41474 21.3 53.045 68.26482
A materials engineer working for a furniture manufacturer wants to evaluate the rigidity of the particle board used by the manufacturer. The engineer collects stiffness data from pieces of particle board that have different densities at different temperatures. Determine the connection between the stiffness and the density of the wood. What does Pierson's r tell us? What is the regression between the stiffness and the density of the wood? Write the equation of the linear regression? density rigidity Temp 9.5 14.814 70.61056 8.4 17.502 73.34893 9.8 14.007 66.15377 11 19.443 70.05781 8.3 7.573 69.33919 9.9 14.191 69.12882 8.6 9.714 69.83351 6.4 8.076 64.36617 7 5.304 65.41039 8.2 10.728 67.76739 17.4 43.243 69.70053 15 25.319 66.93095 15.2 28.028 71.52362 16.4 41.792 66.60748 16.7 49.499 67.98685 15.4 25.312 64.29324 15 26.222 64.48343 14.5 22.148 71.3084 14.8 26.751 69.58755 13.6 18.036 71.13321 25.6 96.305 72.09707 24.4 72.594 67.32207 23.3 49.512 66.65597 19.5 32.207 68.12259 21.2 48.218 66.45621 22.8 70.453 65.66779 21.7 47.661 66.27887 19.8 38.138 69.41474 21.3 53.045 68.26482
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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A materials engineer working for a furniture manufacturer wants to evaluate the rigidity of the particle board used by the manufacturer. The engineer collects stiffness data from pieces of particle board that have different densities at different temperatures.
- Determine the connection between the stiffness and the density of the wood.
- What does Pierson's r tell us?
- What is the regression between the stiffness and the density of the wood?
- Write the equation of the linear regression?
density | rigidity | Temp |
9.5 | 14.814 | 70.61056 |
8.4 | 17.502 | 73.34893 |
9.8 | 14.007 | 66.15377 |
11 | 19.443 | 70.05781 |
8.3 | 7.573 | 69.33919 |
9.9 | 14.191 | 69.12882 |
8.6 | 9.714 | 69.83351 |
6.4 | 8.076 | 64.36617 |
7 | 5.304 | 65.41039 |
8.2 | 10.728 | 67.76739 |
17.4 | 43.243 | 69.70053 |
15 | 25.319 | 66.93095 |
15.2 | 28.028 | 71.52362 |
16.4 | 41.792 | 66.60748 |
16.7 | 49.499 | 67.98685 |
15.4 | 25.312 | 64.29324 |
15 | 26.222 | 64.48343 |
14.5 | 22.148 | 71.3084 |
14.8 | 26.751 | 69.58755 |
13.6 | 18.036 | 71.13321 |
25.6 | 96.305 | 72.09707 |
24.4 | 72.594 | 67.32207 |
23.3 | 49.512 | 66.65597 |
19.5 | 32.207 | 68.12259 |
21.2 | 48.218 | 66.45621 |
22.8 | 70.453 | 65.66779 |
21.7 | 47.661 | 66.27887 |
19.8 | 38.138 | 69.41474 |
21.3 | 53.045 | 68.26482 |
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