A friend sent you the regression table for a graph of position in nm versus time

Question

A friend sent you the regression table for a graph of position in nm versus time in sec with a second order polynomial trend. Write the equation for the trend with uncertainties. SUMMARY OUTPUT Regression Statistics Multiple R 0.99681081 R Square 0.993631791 Adjusted R Square 0.991509055 Standard Error 0.64135726 Observations 9 ANOVA df SS MS Regression 2 358.0875207 192.54376 Residual 6 2.468034811 0.41133914 Total 8 387.5555556 Coefficients Standard Error t Stat Intercept -0.08936884 0.521124226 -0.1714924 X Variable 1 1.33911162 0.56797466 2.35769607 X Variable 2 0.7723459 0.127721348 6.04711726

Explanation / Answer

position on y axis and time on x axis

Y=intercept+ (X variable 1)*X+(X variable 2)*X2

Position=-0.08936884+1.33911162*time+0.7723459*time2

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