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
Related questions
Question
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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density rigidity
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Temp
14.814 70.6106
17.502 73.3489
14.007 66.1538
19.443 70.0578
7.573 69.3392
9.9 14.191 69.1288
9.714 69.8335
8.076 64.3662
7 5.304 65.4104
10.728 67.7674
43.243 69.7005
25.319 66.931
8.2
15.2 28.028
28.028 71.5236
16.4 41.792 66.6075
16.7 49.499 67.9869
15.4
25.312 64.2932
26.222 64.4834
14.5
22.148 71.3084
14.8 26.751 69.5875
13.6
18.036 71.1332
25.6 96.305 72.0971
24.4 72.594
67.3221
23.3
49.512 66.656
19.5 32.207 68.1226
21.2 48.218 66.4562
22.8 70.453 65.6678
21.7 47.661 66.2789
38.138 68.4147
19.8
21.3 53.045 68.2648
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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. 1. Determine the connection between the stiffness
and the density of the wood.
2. What does Pierson's r tell us?
3. What is the regression between the stiffness and the density of
the wood?
4. Write the equation of the linear regression?
N
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