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A materials scientist is experimenting with a new material with which to make beverage cans. She fills cans with liquid at room temperature, and then refrigerates them to see how fast they cool According to Newton's law of cooling, if t is the time refrigerated and y is the temperature drop at time t, then y is related to t by an equation of the form Iny-,+L where B, is a constant that depends on the initial temperature of the can and the ambient temperature of the refigerator, and B, is a constant that depends on the physical properties of the can. The scientist measures the temperature at regular intervals, and then fits this model to the data. The results are shown in the following figure. A scatterplot, with the least-squares line superimposed, is on the left, and the residual plot is on the right Time Fit vala What should the scientist do next? Try to find a transfomation that makes the relationship more linear. ii. Use the model as is, because Newton's law of cooling is a physical law. ii. Use the model as is, because it fits well enough. iv. Carefully examine the experimental setup to see what might have gone wrong. In empanure) Residual

A materials scientist is experimenting with a new material with which to make beverage cans. She fills cans with liquid at room temperature, and then refrigerates them to see how fast they cool According to Newton's law of cooling, if t is the time refrigerated and y is the temperature drop at time t, then y is related to t by an equation of the form Iny-,+L where B, is a constant that depends on the initial temperature of the can and the ambient temperature of the refigerator, and B, is a constant that depends on the physical properties of the can. The scientist measures the temperature at regular intervals, and then fits this model to the data. The results are shown in the following figure. A scatterplot, with the least-squares line superimposed, is on the left, and the residual plot is on the right Time Fit vala What should the scientist do next? Try to find a transfomation that makes the relationship more linear. ii. Use the model as is, because Newton's law of cooling is a physical law. ii. Use the model as is, because it fits well enough. iv. Carefully examine the experimental setup to see what might have gone wrong. In empanure) Residual

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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A materials scientist is experimenting with a new material with which to make beverage cans. She fills cans with liquid at room temperature, and then refrigerates them to see how fast they cool According to Newton's law of cooling, if t is the time refrigerated and y is the temperature drop at time t, then y is related to t by an equation of the form Iny-,+L where B, is a constant that depends on the initial temperature of the can and the ambient temperature of the refigerator, and B, is a constant that depends on the physical properties of the can. The scientist measures the temperature at regular intervals, and then fits this model to the data. The results are shown in the following figure. A scatterplot, with the least-squares line superimposed, is on the left, and the residual plot is on the right Time Fit vala What should the scientist do next? Try to find a transfomation that makes the relationship more linear. ii. Use the model as is, because Newton's law of cooling is a physical law. ii. Use the model as is, because it fits well enough. iv. Carefully examine the experimental setup to see what might have gone wrong. In empanure) Residual
Transcribed Image Text:A materials scientist is experimenting with a new material with which to make beverage cans. She fills cans with liquid at room temperature, and then refrigerates them to see how fast they cool According to Newton's law of cooling, if t is the time refrigerated and y is the temperature drop at time t, then y is related to t by an equation of the form Iny-,+L where B, is a constant that depends on the initial temperature of the can and the ambient temperature of the refigerator, and B, is a constant that depends on the physical properties of the can. The scientist measures the temperature at regular intervals, and then fits this model to the data. The results are shown in the following figure. A scatterplot, with the least-squares line superimposed, is on the left, and the residual plot is on the right Time Fit vala What should the scientist do next? Try to find a transfomation that makes the relationship more linear. ii. Use the model as is, because Newton's law of cooling is a physical law. ii. Use the model as is, because it fits well enough. iv. Carefully examine the experimental setup to see what might have gone wrong. In empanure) Residual
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