Consider the scattergram of data and the graph of the model f(t)=abt in the figure below. Sketch the graph of an exponential model that describes the data better. How would you adjust the values of a and b of the original model to describe the data​ better?

Recently there has been a rise in fatal accidents caused by “distracted driving.” The United States National Highway Traffic Safety Administration (NHSTA) defines a distraction as anything that diverts attention from driving. The following model estimates the trend in distracted driving accidents over time based on data from the NHSTA:D = 0.015t - 29.97 In this model, D is the decimal to be turned into a percentage of all fatal accidents caused by distracted driving, and t is any calendar year between 2000 and 2020. Use the model to estimate the rate for 2005 and 2020. Note: this means to plug n 2005 for t and simplify and then turn your answer into a percent.  Then plug in 2020 for t and simplify and then turn your answer into a percent.

Determine the value of a and b

Jane collects data from 40 elementary school students and finds that the relationship between age (x) and score on a certain test (y) is given by y=3.2x+45. What can she extrapolate about the score a 16-year old will get on the test?

The following equation describes the relationship between output and labor input at a sample of work stations in a manufacturing plant ŷ = 2.35+2.20X. Suppose, for a selected workstation, the labor input is 5, the predicted output is?

. 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…