Question 955359: Table of Data includes:
Population in the United States as a function of time
x(years since 1920):{0,10,20,30,40,50,60,70,80,90}
y(Population in millions): {106,123.2,132.2,151.3,179.3,203.3,226.5,248.7,281.4,308.7}
Find:
1). Draw a scatter plot : Done already
2). Use calculator to find "the line of best fit" for this data. Show the equation.
I found approximately y=2.28x+93.41
3). What is the slope of the line? I know it is 2.28
What is the meaning in this application? (Give its units.)
I believe the meaning is to go up 2.28 and over one. In units I would say roughly twenty but I was hoping for better help in a translation of this answer. I believe I am incorrect.
4). By hand, develop an exponential model of the form A=Aoe^kt using the data from 1920 and 2000. Round the value of k to 4 decimal places.
I am unsure on how to do this.
5). Use your calculator to find "exponential function of best fit" for this data. Show the equation.
y=106.726(1.0124)^x
6). use function found in 5) to determine the annual percentage rate of growth of the United States
I assume 1.24%
Answer by Fombitz(32388)   (Show Source):
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