posted by Valerie on .
The town of appleville recorded the following dates and populations.
Estimate the approximate population of Appleville in 1988 by finding an equation and then substituting.
Do this exactly the way w and I did the previous one
Omg! Would you just please help me I have 3 kids and I'm cooking dinner, please just help me understand this one!
It says approximate so put it on the straight line between 1985 and 1990
what is that line?
m = (56-53)/(1990-1985) = 3/5
so y = (3/5)x + b
when x = 1985, y = 53 so
53 = (3/5) (1985) + b
53 = 1191+b
b = -1138
y = (3/5) x - 1138 between 1985 and 1990 approximately
y at 1988 = (3/5)(1988) - 1138
= 1192.8-1138 = 54.8 approximately
Now before dinner is ready go back and understand the one w did and I explained.
We can find this equation using different methods (Least square method, Lagrange interpolation polynomial method, ...)
Which you are applying?
What is did here is called "linear interpolation" and I suspect it is what your text wants looking at the level of your previous problem. We could get more sophisticated fitting these four points with a cubic polynomial but based on the other problem I am quite sure your class is not there yet. I am quite sure by approximate they mean fit with a straight line between the closest points, linear interpolation.
Yes Mgraph, but look at the previous question further down. I think this class is on straight lines. I could be wrong of course.
I can not see them solving for a least square fit or using Lagrange polynomials.