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Question

Years after 1990	U.S. population (in millions)
1990: x=0	248.8
2000: x=10	281.4
2010: x=20	308.7
2020: x=30	331.4
2021: x=31	331.9

B) Use your graphing calculator’s linear regression option (LinReg) to obtain a model of the form y= ax+b that fits to the data. Use the function to find the US population in 2010. Round to the nearest tenth of a million. Does this function value overestimate or underestimate the US population in 2010 given in the table? By how much? According to the linear regression model, when will the US population be 400 million?

C) Use your graphing calculator’s quadratic regression option (QuadReg) to obtain a model of the form y=ax² +bx + c that fits to the data. Use the function to find the US population in 2010. Round to the nearest tenth of a million. Does this function value overestimate or underestimate the US population in 2010 given in the table? By how much? According to the quadratic regression model, when will the US population be 400 million?

D) Use your graphing calculator’s exponential regression option (ExpReg) to obtain a model of the form y=ab^x that fits to the data. Use the function to find the US population in 2010. Round to the nearest tenth of a million. Does this function value overestimate or underestimate the US population in 2010 given in the table? By how much? According to the exponential regression model, when will the US population be 400 million?

E) Use your graphing calculator’s logarithmic regression option (LnReg) to obtain a model of the form y= a + b ln x that fits to the data. Use the function to find the US population in 2010. Round to the nearest tenth of a million. Does this function value overestimate or underestimate the US population in 2010 given in the table? By how much? According to the logarithmic regression model, when will the US population be 400 million?

F) See your answers on b)-e) and decide the best regression model for the US population in 2010. Use this model to predict the US population in 2030.

Answer 1