The following table shows the time T , in hours, before a scuba diver wearing a certain thickness wet suit reaches hypothermia (95° F )for various water temperatures F , in degrees Fahrenheit. Water Temperature, ° F Time T , hours. Find an exponential regression model for the data. Round the parameters to the nearest thousandth.

Question

Quizplus · Accepted Answer

The exponential regression model for the data can be given by the equation: T = a*e^(bF), where T is the time in hours and F is the water temperature. Using a regression tool, the parameters are found as a = 526.264 and b = -0.068. Rounding to the nearest thousandth gives a = 526.264 and b = -0.068. Therefore, the exponential regression model for the data is T = 526.264*e^(-0.068F). The best choice is B.

The Following Table Shows the Time T , in Hours