The following data show the cooling temperatures of a freshly brewed cup of coffee after it is poured from the brewing pot into a serving cup. The brewing pot temperature is approximately 180º F. The output for an exponential model, ln(Temp) = β₀ + β₁Time + ε, is below. Which of the following is the sample correlation coefficient between ln(Temp) and Time? A) −0.9701 B) 0.9701 C) −0.9849 D) 0.9849

Question

Quizplus · Accepted Answer

The sample correlation coefficient between ln(Temp) and Time is equal to the square root of the coefficient of determination for the exponential model. The coefficient of determination for the exponential model is R²= 0.9703, so the sample correlation coefficient is the square root of 0.9703, which is approximately equal to −0.9849. Therefore, the best choice is C.

The Following Data Show the Cooling Temperatures of a Freshly