A group of researchers are working to determine the historic sea levels of the body of water. They are attempting to do this by taking samples around the body of water and in a nearby cave and after analyzing sediment cores from around the body of water to those in the cave. The Climatologist that is working in the cave is trying to determine the age and growth rate of stalactites, to get a more accurate picture of the age of the existing stalactites. The following table contains the estimated age (to the nearest thousand) of the sample and the length of the sample in micrometers. Find a linear model that express length as a function of the age. Round your answers to 2 decimal places Age (nearest thousand) Micrometers 78 9369 84 10088 89 10675 97 11646 104 12489 115 13810 121 14505 Length =______ x+________ where x is the age in thousands of years

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A group of researchers are working to determine the historic sea levels of the body of water. They are attempting to do this by taking samples around the body of water and in a nearby cave and after analyzing sediment cores from around the body of water to those in the cave.

The Climatologist that is working in the cave is trying to determine the age and growth rate of stalactites, to get a more accurate picture of the age of the existing stalactites. The following table contains the estimated age (to the nearest thousand) of the sample and the length of the sample in micrometers. Find a linear model that express length as a function of the age.

Round your answers to 2 decimal places

Age (nearest thousand) Micrometers
78 9369
84 10088
89 10675
97 11646
104 12489
115 13810
121 14505

Length =______ x+________ where x is the age in thousands of years

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