Question

Data were recorded for the temperature, in degrees Celsius, of a cup of coffee over a 30-minute period. Given the
regression equation, In(Temp) = 4.20 - 0.023 (Time), what is the predicted temperature after 5 minutes?
59.44 °C
64.26 °C
65.17 °C
66.69 °C

Answer 1

The regression model is used to make prediction of a certain variable for a given value of the independent variable. The predicted temperature value after 5 minutes will be 59.44°C

The regression equation :

• In(Temperature) = -0.023(Time) + 4.20

The time value given = 5 minutes

The predicted value of temperature :

In(Temperature) = - 0.023(5) + 4.20

In(Temperature) = - 0.115 + 4.20

In(Temperature) = 4.085

Temperature = $e^{4.085}$

Temperature = 59.44°C

Therefore, the temperature after 5 minutes will be 59.44°C

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