Question: Given the information below. Does the Age influence the Time? Please interpret the results of the hypothesis. The regression equation is TIME (MINUTES) = -

Given the information below. Does the Age influence the Time? Please interpret the results of the hypothesis.

Given the information below. Does the Age influence the Time? Please interpret

The regression equation is TIME (MINUTES) = - 1587 + 406.7 IGE (YEARS) Model Summary R-sq R-sqladi 122.048 85.62% 85.32% Analysis of Variance Source DF SS MS Regression 4258218 4258218 285.87 0.000 Error 714996 14896 Total 49 4973213 Fitted Line: TIME MINUTES) versus AGE (YEARS) Descriptive Statistics: TIME (MINUTES), ... GE (YEARS) Statistics Variable N N' Mean SE Mean StDev Variance Minimum Q1 Median TIM MINUTES) 50 450.3 45.1 318.6 101494.1 40.0 150.0 355.0 AGE (YEARS) 50 5.010 0.103 0.725 0.525 4.000 4.500 5.000 N for Variable Q3 Maximum Mode Mode TIME MINUTES) 776.3 1025.0 150 IGE (YEARS) 5.500 6.000 Regression Analysis: TIME (MINUTES) ... AGE (YEARS) Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Regression 4258218 4258218 285.87 0.000 AGE (YEARS) 4258218 4258218 285.87 0.000 Error 48 714996 14896 Lack-of-Fit 244265 81422 7.78 0.000 Pure Error 45 470731 10461 Total 4973213 Model Summary S R-sq R-sq(adi R-sq(pred) 122.048 85.62% 85.32% 84.60% Coefficients Term Coef SE Coef T-Value P-Value Constant -1587 122 -13.04 0.000 AGE (YEARS) 406.7 24.1 16.91 0.000 1.00 Regression Equation TIME MINUTES) -1587 + 406.7 GE (YEARS) Fits and Diagnostics for Unusual Observations TIME Obs (MINUTES) Fit Resid Std Resid 21 150.0 446.3 -296.3 -2.45 22 155.0 446.3 -291.3 -241 R 155.0 446.3 -291.3 -241 R R Large residual Correlation: AGE (YEARS), TIME (MINUTES) Correlations Pearson correlation 0.925 000'0 P-value

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