Solve the Problem $\left( \mathrm { T } _ { \mathrm { m } } \right)$

question 21

Multiple Choice

Solve the problem.
-A thermometer is removed from a cup of coffee and placed in water whose temperature $\left( \mathrm { T } _ { \mathrm { m } } \right)$ is $10 ^ { \circ } \mathrm { C }$ . The following data were collected over the next 30 seconds.


Use an exponential regression equation for the $\mathrm { T } - \mathrm { T } \mathrm { m }$ data to estimate the thermometer reading when it was removed from the hot coffee.

• A) \(95.64 ^ { \circ } \mathrm { C }\)
• B) \(91.28 ^ { \circ } \mathrm { C }\)
• C) \(89.92 { } ^ { \circ } \mathrm { C }\)
• D) \(85.62 { } ^ { \circ } \mathrm { C }\)

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Definitions:

Indicator Variable

A variable used in statistics and econometrics that takes on a value of 1 if a specific condition is true and 0 if it is not.

Test Statistic

A value calculated from sample data during a hypothesis test used to decide whether to support or reject the null hypothesis.

Logistic Regression

A statistical method used for predicting a binary outcome from one or more predictor variables, modeling the probability of occurrence of an event.

Lactic Acid

A chemical compound produced in the muscles during intense physical activity and responsible for the sensation of muscle soreness.