What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The US navy has done a lot of research on this topic. The navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x= depth of dive in meters and let y= optimal time in hours. A random sample of divers gave the following data.  x 16.1 25.3 29.2 38.3 51.3 20.5 22.7  y 2.68 2.28 1.68 1.03 .75 2.38 2.20 find the predicted optimal time in hours for a dive depth of x=33 meters.(round your answer to two decimal places)  __hr  find an 80% confidence interval for y when x =33 meters.(round your answer to two decimal places)  lower limit= upper limit=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The US navy has done a lot of research on this topic. The navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x= depth of dive in meters and let y= optimal time in hours. A random sample of divers gave the following data. 
x 16.1 25.3 29.2 38.3 51.3 20.5 22.7 

y 2.68 2.28 1.68 1.03 .75 2.38 2.20

find the predicted optimal time in hours for a dive depth of x=33 meters.(round your answer to two decimal places) 

__hr 

find an 80% confidence interval for y when x =33 meters.(round your answer to two decimal places) 

lower limit=
upper limit=

use a 1% level of significance to test the claim that b<0. (Round two decimal places) 

t=
critical t =

find a 90% confidence interval for b and interpret its meaning. (Round threee decimal places) 

lower limit=
upper limit=

 
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