Question

Need help with e-g please :) Business Calc...

How Does Coffee Cool? How Long Do You Have Before You Can't Sue Anymore? 4. The following data shows the temperature of a freshly brewed cup of coffee t minutes after it is removed from the pot. The temperature in the room is 80° F. Time (mins) Temp (F) temperature as the dependent variable. Displayed below c) Find a linear regression model for 179.6 168.8 158 149 141.8 134.6 125.6 123.8 116.6 113 5 the data. What is the coefficient of determination? Interpret the slope of the equation intercept 11 15 18 24 25 Interpret the y equation of the Coefficient of determination is RA2= 0.94629. Slope of the equation is x-1.5693. For every "x" given of time the temp will drop that amount. At time zero when the coffee was just brewed the temp was approximately 169.29 degrees. (Fahrenheit) 30 34 38 42 45 50 109.4 105.8 102.2 100.4 a) If the temperature in the room is 80°F, what can we expect the temperature of the coffee to approach in the long run? In the long run, we can expect the coffee to eventually become temperature or cooler b) Create a scatterplot of the data using time as the independent variable and e) According to your model, what would the temperature of the coffee be after 4 hours? What is the problem with this result? After 4 hours... What type of function would appear to be a better fit for the data? g) What should the horizontal asymptote be for the function? Call this A d) According to your model, what was the initial temperature of the coffee? How much error does your model have? According to my model the initial temperature of the coffee was 169.29. According to the data, the temp was initially room 179.6. The amount of error in 10.31 these numbers is:

Answer 1

e) According to the mode, the temperature after 4 hours would be about: 80F (the room temperature)

f) An exponential function of the form would be a good fit for the data as the temperature keeps decreasing till it finally reaches the room temperature eventually

T(t)A Be, A, B> 0

g) The horizontal asymptote is (the room temperature)

A80