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The phrase "a linear pattern over" is correct and usable in written English.
It can be used when describing a consistent or straight-line relationship or trend across a certain range or set of data.
Example: "The data revealed a linear pattern over the course of the experiment, indicating a steady increase in temperature."
Alternatives: "a straight trend across" or "a consistent pattern throughout".
Exact(3)
The different positions did not follow a linear pattern over time, but overlapped each other depending on the various local contexts.
The flux measured during the fall season exhibited a nonlinear pattern, whereas the flux measured during the time of plant growth exhibited a linear pattern over space.
The cumulative hazard plot deviated slightly from a linear pattern over time, possibly reflecting the seasonal patterns in malaria incidence in Navrongo.
Similar(57)
The only other study to use the emotional Stroop to examine habituation to trauma-related stimuli for veterans with and without PTSD over time [ 29], found group differences, but only in the first of four blocks, and only as a linear pattern of RT decreases over time.
Regardless of the accessibility rule used, the association is always positive, and both values rise regularly over the years, in a linear pattern.
Relationships, least of all with ourselves, seldom follow a linear pattern.
Some of the walls have glass cutouts in a linear pattern clearly designed to evoke a circuit board they light up green at night.
There was also a superimposition of a linear pattern.
Since the design of the battery is linear, the SOC increases with a linear pattern.
Residual analysis indicated no major deviation from a linear pattern.
The RV presents a linear pattern with few interlacing vessels.
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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