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The phrase "assume a linear progression" is correct and usable in written English.
It can be used in contexts where you are discussing a process, trend, or development that is expected to follow a straight-line trajectory over time.
Example: "In our analysis, we will assume a linear progression in the growth of sales over the next quarter."
Alternatives: "presume a straight-line trend" or "expect a linear development".
Exact(1)
"You can't assume a linear progression," said one senior American official.
Similar(59)
This model also assumed a linear progression from F0 to the F4 health state and assumed that the costs for the F0-F4 health states were the same.
These models assume a linear increase in rates.
We assume a linear PMRN with constant width.
As these parameters are estimated by linear multivariate regressions, they assume a linear relationship between shape and ln-CS.
This framework does not assume a simple, linear progression from product development to adoption and thus allows us to explore the stages of spread in detail.
This framework further assumes that policy implementation is a linear progression.
After assuming a linear relationship between radiological progression and disease duration, the variation in joint destruction was highest in unrelated pairs, followed by dizygotic twins, and was smallest between monozygotic twins supporting a genetic input [ 17].
In this comparison Stravinsky is clearly less interested in a linear progression, yet is still progressive in the sense that his vigorous rhythmic writing and exploratory nature went far beyond mere pastiche.
"I don't think it's a linear progression.
"This paper shows how the mammalian ear didn't proceed in a linear progression," he said.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com