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The Pearson correlation is primarily sensitive to linear relationships, but it is a widely used and useful indicator of the covariance structure of the data.
Discrete simulations also suggest that the linear relationship between toughness and Young's modulus is primarily linked to the size of the solid necks formed during sintering of particles.
This non-linear shape is in contrast to the linear relationship expected between cross-correlation and input size as described in Herrmann and Gerstner (2001) and is primarily due to the nonlinear properties of the mutual information measure.
The relationships between black cumin seed yield, Nigellone volatile oil content and seasonal mean crop water stress index values were primarily linear.
Clearly, harmonics have a simple linear relationship with the fundamental.
It's not quite a linear relationship, but the direction is clear.
It's harder to draw a linear relationship showing cause and effect.
But, the increase in strain with increasing was primarily linear.
The linear relationship is captured by the correlation.
It shows a strong linear relationship between the two.
This plot gives a linear relationship, as expected from Eq. (3).
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CEO of Professional Science Editing for Scientists @ prosciediting.com