Amadeusz Zajac
GiS 3015: Cartographic Skills
Module 2 Lab
Polynomial Trendline
California:
Polynomial Trendline
Equation: y = 12.792x2
- 50819x + 5E+07
R² = 0.9975
R² = 0.9975
Florida:
Polynomial Trendline
Equation: y = 0.2452x2 - 767.37x +
569151
R² = 1
R² = 1
New York:
Polynomial Trendline
Equation: y = 2.0052x2 - 8003.3x + 8E+06
R² = 0.9978
R² = 0.9978
Texas:
Polynomial Trendline Equation: y = 0.3388x2
- 1080.7x + 826194
R² = 1
R² = 1
The polynomial patterns on this graph are great for showing not only the increase of the population in a given US state over time, but also to express the acceleration/deceleration of the change. The number of a given year can therefore be calculated according to the change in the increase, as opposed to according to the average of the few pieces of data we know.
As taken from the Module 2 lab:
California:
Estimated 2050 population using
polynomial: 81963
Florida:
Estimated 2050 population using
polynomial: 26495.5
New York:
Estimated 2050 population using
polynomial: 44201.2
Texas:
Estimated 2050 population using
polynomial: 34566
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-I Experienced a lot of
difficulty converting some of the polynomial formulas into decipherable numbers
but thanks to the classmates on discussion threads I managed to convert them by
right-clicking on the formula, and going into “Format Trendline Label” and
switching from “general” to “number”. This option would not work until the trendline was deleted and re-done, most likely because putting a label (such as "California") in one of the formula windows fooled the program into thinking the two were related.