Data whose scatter plot suggests that an exponential model would be a good fit was transformed. The regression line fitted to the transformed data (x, In y) has the equation Compute the parameters of the exponential model of the form y = A. e¹¹*: (Round to the nearest hundredth) A = Y = 1.708X + 4.146. T = (Round to the nearest thousandth)

Consider the following model, known as the exponential regression model: Y; = BoefiXi + ui Do you think that you can estimate the model parameters using OLS? Explain. What do you suggest how to estimate the model parameters? How do you think one can proceed estimating these by trial-and-error, or iterative, process?

The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. t Length (mm) 0 88 с Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Linear (y = mx + b) O B. Logistic y= (y= OC. Exponential (y = a.b*) ₂-bx 4 93 1 + ae 8 99 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2007, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 103 mm per year. 16 108

. Fill in the "Years since 1970" column for the data to the right. Make a scatter plot in Excel of the data using Years since 1970 and Total Waste in Millions of Tons (Title your graph and label your axes appropriately). How would you best describe the trend? Add an exponential regression model to the data. Write the equation below. Is it a good fit? Explain how you know.  Based on the exponential model, what is the growth rate per year? Explain the meaning of the growth rate in the context of the data. Using the exponential model, make a prediction of how much plastic will be in landfills (and the ocean gyres) by Year Years since 1970 Total Waste in Millions of Tons 1970 0 249 1980 10 798 1985 15 1200 1990 20 1740 1995 25 2440 2000 30 3390 2005 35 4600 2010 40 6060 2015 45 7820     Do you think recycling alone will solve this problem (See Q11 and Q12)? What are some of the challenges in recycling plastic that might hinder the world from recycling all plastic…

1 YouTube .l 8:31 PM 10% 1 A cup of soup is left on a countertop to cool. The table below gives the temperatures, in degrees Fahrenheit, of the soup recorded over a 10-minute period. Time in Minutes (x) Temperature in °F (9) 180.2 165.8 146.3 135.4 127.7 110.5 4 8. 10 Write an exponential regression equation for the data, rounding all values to the nearest thousandth.