SOLUTION: POPULATION The table shows the population for a given urban area. Let x be the number of years since 1950 and let y be the population in thousands. Find a model for the data. Th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: POPULATION The table shows the population for a given urban area. Let x be the number of years since 1950 and let y be the population in thousands. Find a model for the data. Th      Log On


   



Question 947467: POPULATION The table shows the population for a
given urban area.
Let x be the number of years since 1950 and let y be the
population in thousands. Find a model for the data. Then, linearize the data and give the regression
equation for the linearized data.
Year
1960
1970
1980
1990
2000
Population (thousands)
30
58
120
220
455
I found the model of the data and it turned out to be an exponential model with an equation of y=15.198(1.07)^x. I could not find the linearized equation. The linearized equation is supposed to be y= 0.0058x+3.726

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The data for the curve fit should be
(10,30)
(20,58)
(30,120)
(40,220)
(50,455)
.
I agree with you.
That looks like the best fit.
.
.
.
How does that linear solution even work?
For x=10, y=3.784
For x=50, y=4.016