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Mathematics, 05.05.2020 06:25 Jolenesopalski

The accompanying data on y = normalized energy (J/m2) and x = intraocular pressure (mmHg) appeared in a scatterplot in the article "Evaluating the Risk of Eye Injuries: Intraocular Pressure During High Speed Projectile Impacts"â ; an estimated regression function was superimposed on the plot.

x 2761 19764 25713 3980 12782 19008 20782 19028 14397 9606 3905 25731
y 1553 14999 32813 1667 8741 16526 26770 16526 9868 6640 1220 30730

(a) Here is Minitab output from fitting the simple linear regression model.
Predictor Coef SE Coef T P Constant â5090 2257 â2.26 0.048 Pressure 1.2912 0.1347 9.59 0.000 S = 3679.36 R-Sq = 90.2% R-Sq(adj) = 89.2%

Does the model appear to specify a useful relationship between the two variables?

A. No, since the R2 is large and the t-test P-value is small, this does not indicate a useful relationship between normalized energy and interocular pressure.
B. Yes, since the R2 is small and the t-test P-value is small, this indicates a useful relationship between normalized energy and interocular pressure.
C. Yes, since the R2 is small and the t-test P-value is large, this indicates a useful relationship between normalized energy and interocular pressure.
D. No, since the R2 is small and the t-test P-value is large, this does not indicate a useful relationship between normalized energy and interocular pressure.
E. Yes, since the R2 is large and the t-test P-value is small, this indicates a useful relationship between normalized energy and interocular pressure.

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