Newtons Law of Cooling A 190 cup of coffee is placed on a
Chapter 1, Problem 1.516(choose chapter or problem)
Newton’s Law of Cooling A 190° cup of coffee is placed on a desk in a 72° room. According to Newton’s Law of Cooling, the temperature T of the coffee after t minutes will be \(T=(190-72) b^{t}+72\), where b is a constant that depends on how easily the cooling substance loses heat. The data in Table 1.14 are from a simulated experiment of gathering temperature readings from a cup of coffee in a 72° room at 20 one-minute intervals:
(a) Make a scatter plot of the data, with the times in list L1 and the temperatures in list L2.
(b) Store in list L3. The values in L3 should now be an exponential function \(\left(y=a \times b^{x}\right)\) of the values in L1.
(c) Find the exponential regression equation for L3 as a function of L1. How well does it fit the data?
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