The optimal time for a scuba diver to be on the bottom of the ocean depends on the depth of the dive. The U.S Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be time at each depth for the best balance between length of work period and decompression time after surfacing. Let x be the depth in meters, and let y be the optimal time in hours. A random sample of divers gave the following data. Use 1% level of significance to test the claim that p< 0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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6. The optimal time for a scuba diver to be on the bottom of the ocean depends on the depth of the dive.
The U.S Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be time at
each depth for the best balance between length of work period and decompression time after surfacing.
Let x be the depth in meters, and let y be the optimal time in hours. A random sample of divers gave the
following data. Use 1% level of significance to test the claim that p< 0.
X 14.1 24.3 30.2 38.3 51.3 20.5 22.7
| 2.58 2.08 1.58 1.03 0.75 2.38 2.20
EXCEL OR SPSS RESULT:
Correlations
Pearson Correlation
-.976"
1
Sig. (1-tailed)
.000
N
7
7
Pearson Correlation
-976"
1
Sig. (1-tailed)
.000
N
7
7
**. Correlation is significant at the 0.01 level (1-
tailed).
Transcribed Image Text:6. The optimal time for a scuba diver to be on the bottom of the ocean depends on the depth of the dive. The U.S Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be time at each depth for the best balance between length of work period and decompression time after surfacing. Let x be the depth in meters, and let y be the optimal time in hours. A random sample of divers gave the following data. Use 1% level of significance to test the claim that p< 0. X 14.1 24.3 30.2 38.3 51.3 20.5 22.7 | 2.58 2.08 1.58 1.03 0.75 2.38 2.20 EXCEL OR SPSS RESULT: Correlations Pearson Correlation -.976" 1 Sig. (1-tailed) .000 N 7 7 Pearson Correlation -976" 1 Sig. (1-tailed) .000 N 7 7 **. Correlation is significant at the 0.01 level (1- tailed).
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