https://www.desmos.com/calculator/k6b95wj82y
As you include more terms, the accuracy interval expands wider. Is there a function that returns accuracy interval of a MacLaurin series, given the number of terms used?
Here is accuracy interval for using 1 to 10 terms:
1 - .5
2 - 1.4
3 - 2.25
4 - 3.2
5 - 4
6 - 5
7 - 5.7
8 - 6.44
9 - 7
10 - 8
The regression function for the given pairs is:
y = 0.818x + 0.539