Exhibit 16-4.The following data shows 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;see http://mathbits.com/mathbits/tisection/statistics2/exponential.htm For the assumed exponential model ln(Temp)= β₀ + β₁Time + ε,the following Excel regression partial output is available. Refer to Exhibit 16-4.What 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 is represented by the square root of the coefficient of determination R-squared. From the output, we see that R-squared is 0.9705, so the square root of that is 0.985, which is closest to -0.9849. Therefore, the correct answer is C.