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It is linear because…
The first differences in the output values are a constant (number) over consecutive equal-length input-value intervals, (this model) is best.
it is quadratic because…
The 2nd differences in the output values are a constant (number) over consecutive equal-length input-value intervals. (this model) is best.
it is exponential because…
successive output values over equal-length input-values intervals are proportional by a factor of (number from math), so (this model) is best. (show the work)
this is logarithmic because….
The input values change proportionally by a factor of (number) as output values increase in equal-length intervals, a (blank model) best fits the data.
n>m
no horizontal or slant
n=m
ratio of coefficients
n<m
y=0