Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several
models and compare the values of R 2
-The table below shows the population of a city (in millions)in each year during the period 1990 - 1995. Using the number of years since 1990 as the independent variable, find the regression equation of the best model. $\begin{array}{l|llllll}
\mathrm{x} & 1990 & 1991 & 1992 & 1993 & 1994 & 1995 \
\hline \mathrm{y} & 1.08 & 1.37 & 1.68 & 2.19 & 2.73 & 3.34
\end{array}$
A) $y = 1.27 x ^ { 0.550 }$
B) $y = 0.05 x ^ { 2 } + 0.27 x + 1.06$
C) $y = 1.08 e ^ { 0.228 x }$
D) $y = 0.930 + 0.454 x$

Question

Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several
models and compare the values of R 2 
-The table below shows the population of a city (in millions)in each year during the period 1990 - 1995. Using the number of years since 1990 as the independent variable, find the regression equation of the best model. $\begin{array}{l|llllll}
\mathrm{x} & 1990 & 1991 & 1992 & 1993 & 1994 & 1995 \
\hline \mathrm{y} & 1.08 & 1.37 & 1.68 & 2.19 & 2.73 & 3.34
\end{array}$
A) $y = 1.27 x ^ { 0.550 }$
B) $y = 0.05 x ^ { 2 } + 0.27 x + 1.06$
C) $y = 1.08 e ^ { 0.228 x }$
D) $y = 0.930 + 0.454 x$

Quizplus · Accepted Answer

Given the data, the exponential model $y = 1.08 e ^ { 0.228 x }$ best fits the population growth, as population growth is often exponential in nature. This model reflects the increasing rate of growth over the years.

Construct a Scatterplot and Identify the Mathematical Model That Best