(Hint: Please see section 6.5 of the ebook, Exponential Regression Model) The data at the right 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 160 F. Time (mins) 0 5 8 11 15 18 22 25 30 34 38 42 46 52 Temp ( F) 159.9 152 148 144 134 133 129 125 118 114 110 105 101 95 a) Find an exponential regression model of the form y = a * b^x to represent the above date, where x is the number of minutes, and y is the temperature of the cup of coffee b.) Graph the exponential regression model. c.) Decide whether the model is a "good fit" to represent this data. d) When is the coffee at a temperature of 80 degrees? e.) What is the predicted temperature of the cup of coffee after 65 minutes