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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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?
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
$31
1
2
1000+N
4
5
6
8
10
12
LAYER
16
18
B
density rigidity
20
21
22
23
24
25
26
27
28
29
30
31
Clipboard
32
B9
C
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
O CO CO CO
:
zh
X
ANNE
4
Font
IF
K
Alignment
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
Transcribed Image Text:$31 1 2 1000+N 4 5 6 8 10 12 LAYER 16 18 B density rigidity 20 21 22 23 24 25 26 27 28 29 30 31 Clipboard 32 B9 C 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 O CO CO CO : zh X ANNE 4 Font IF K Alignment 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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