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The phrase "any shape of response" is correct and usable in written English.
It can be used when referring to various forms or types of replies or reactions someone might give.
Example: "We welcome any shape of response from our audience, whether it's feedback, questions, or suggestions."
Alternatives: "any form of response" or "any type of reply".
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Linear characteristics of the variables X1 and X2 implied the shape of response surfaces with maximum values located at the edges of the plot (Fig. 7a, b).
Palmer, E. M., Horowitz, T. S., Torralba, A. & Wolfe, J. M. What are the shapes of response time distributions in visual search?
Additionally, relevant dose response matrices may be superimposed [11, 23, 25] to reveal different shapes of response surfaces, which may encode information of underlying biological network topology [11, 30, 31].
Shapes of responses were functions of home range sizes, individual detection probabilities, and spatial arrangement of animals and sampling stations.
And no one who saw how much money and support he got from Wall Street can be honestly be surprised at the shape of his response.
There are also subtle differences in the spectral shape of the response, discussed in the Supporting Information and in ref. 26, not relevant to the discussion here.
The power is not sensitive to the shape of dose response profile over time.
Interdependencies among the experimental variables will influence the actual shape of the response surface.
Different sensor types were found to give respective dynamic range of detection, shape of sensor response and mode of operation.
So if you have enough data and enough power, you can use analysis methods that make no assumptions about the shape of the response, or very few assumptions.
The shape of the response surface curves showed a moderate interaction between these tested variables.
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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