coefficient of determination test  (GraphPad Software Inc)

Journal: Nature Communications

Article Title: Tissue shear as a cue for aligning planar polarity in the developing Drosophila wing

doi: 10.1038/s41467-025-56744-7

Figure Lengend Snippet: a , b , c Analysis of tissue flow patterns in ( a ) WT proximal and ( b ) WT distal regions and ( c ) distal dpy-RNAi wings (24–32 hAPF). Segmented and tracked cells at each time point were pseudo-coloured by rows ( y -axis of the image). Cell trajectories were monitored over 90–120 min, with arrows indicating cell flow velocity direction. Velocity profile plots depict average velocity per row. d Relative cell movement, where adjacent rows of cells move relative to each other, visualised with blue arrows indicating magnitude (length) and direction (orientation) of velocity. Tissue velocity x gradient measures the partial derivative of the velocity component in the x -direction with respect to the y -direction. e Temporal evolution of instantaneous velocity x gradients (24–26 hAPF) for WT proximal, WT distal, and dpy-RNAi wings. f Average tissue velocity x gradient in WT proximal, WT distal and dpy-RNAi wings at indicated time points. Blue: WT distal vs WT proximal *** P = 0.001, ** P = 0.0048; grey: WT distal vs dpy-RNAi ** P = 0.0082; purple: WT proximal vs d py-RNAi **** P < 0.0001. g Cartoon (top) depicts wing-hinge detachment from the blade at 20 hAPF (red dotted line). Confocal image (bottom) shows a severed wing at 32 hAPF. Analysis of tissue flow patterns in severed wings (28–32 hAPF). Cell trajectories in imaged region (red box) were monitored for 2 h, with velocity profile plots displaying the average velocity for each row of cells. h Average tissue velocity x gradients in control and severed wings across time points. * P = 0.0116. i Relative stable Fz amounts at horizontal and vertical junctions in control and severed wings at 32 hAPF. Dot indicates mean per wing. Paired t -test, two-tailed *** P = 0.0005. j Correlation between tissue velocity x gradient and relative stable Fz across genotypes (in different colours and shapes) and developmental time points (in different colour gradients). Dot represents averaged values from all wings per time point. R 2 indicates the coefficient of determination. The number of wings examined is indicated. Error bars are SEM. ( f ) One-way ANOVA test, comparing between WT proximal, WT distal and dpy-RNAi wings for each time point. ( h ) One-way ANOVA test, comparing control and severed wings for each time point. ns, not significant. Source data are provided in the file.

Article Snippet: In some experiments, coefficient of determination test ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${R}^{2}$$\end{document} R 2 ) was computed to determine how strong the linear relationship was between two variables using GraphPad Prism.

Techniques: Control, Two Tailed Test