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:

Pearson Correlation

A measure of the linear correlation between two variables X and Y, giving a value between -1 and 1.

Positive Correlation

The relationship between two variables where both variables move in the same direction.

IQ Score

A measure of a person's intellectual abilities compared to the average population, typically scored on a scale where 100 is the average.

First-Grader

Refers typically to a student in the first grade of school, being their second year of formal education, usually six or seven years old in many countries.