Question: The accompanying data on y = normalized energy (J/m2) and x = intraocular pressure (mmHg) appeared in a scatterplot in the article Evaluating the Risk
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" (Current Eye Research, 2012: 43-49); an estimated regression function was superimposed on the plot.
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a. Here is Minitab output from fitting the simple linear regression model. Does the model appear to specify a useful relationship between the two variables?
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b. The standardized residuals resulting from fitting the simple linear regression model (in the same order as the observations) are .98,21.57, 1.47, .50,2.76,2.84, 1.47,2.85,21.03,2.20, .40, and .81. Construct a plot of e* versus x and comment.
x 2761 19764 25713 3980 12782 19008 y553 14999 32813 1667 8741 16526 x 20782 19028 14397 9606 3905 25731 y26770 16526 9868 6640 1220 30730 Predictor Constant Pressure S-3679.36 Coef -5090 1.2912 90.2% SE Coef 2257 -2.26 0.048 0.1347 9.59 0.000 R-Sq R-Sq (adj )-89.2%
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a Yes with R 2 902 and a ttest Pvalue of 0000 the output indicates a useful ... View full answer
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