In 6, carbon dioxide concentration was modeled as a linear function of time. However, if

Chapter 0, Problem 7

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In 6, carbon dioxide concentration was modeled as a linear function of time. However, if we include data for carbon dioxide concentration from as far back as 1900, the data appear to be more exponential than linear. (They looked linear in because we were only looking at a small piece of the graph.) If C is the CO2 concentration in ppm and t is in years since 1900, an exponential regression function to fit the data is C = 272.27(1.0026)t . (a) What is the annual percent growth rate during this period? Interpret this rate in terms of CO2 concentration. (b) What CO2 concentration is given by the model for 1900? For 1980? Compare the 1980 estimate to the actual value in Table A.9.

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