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 percentage of variations in ln(Temp)explained by Time? A)45.48% B)97.01% C)1.40% D)46.88%

Question

Quizplus · Accepted Answer

The coefficient of determination (R-squared) is 0.9701, which represents the percentage of variations in the dependent variable (ln(Temp)) that is explained by the independent variable (Time). Therefore, the percentage of variations in ln(Temp) explained by Time is 97.01%.