An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expresses volume as a function of the mass.gramsVolume in ml20222.321.5246.223258.224.5277.826291.927.5318.129322.3A) Write the linear regression equation for the data in the chart.Volume = �+ where x is the grams of the unknown metal. Round your answers to 3 decimal places B) If the mass of an unknown metal is 18, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place.

X Y 20 222.3 21.5 246.2 23 258.2 24.5 277.8 26 291.9 27.5 318.1 29 322.3

Answered: An unknown metal has been found and the…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

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An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expresses volume as a function of the mass.

grams	Volume in ml
20	222.3
21.5	246.2
23	258.2
24.5	277.8
26	291.9
27.5	318.1
29	322.3

A) Write the linear regression equation for the data in the chart.

Volume = �+ where x is the grams of the unknown metal. Round your answers to 3 decimal places

B) If the mass of an unknown metal is 18, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place.

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