3. at DuPont studied the rate at which a spilled volatile liquid will spread acr

Question

3. at DuPont studied the rate at which a spilled volatile liquid will spread across a surface. The engineer used derived empirical formulas to calculate the mass (in pounds) of the spill after a time ranging from 0-60 minutes. A simple linear regression model was fit and the R ouput and scatterplot are given below.(10 points) sion Staristics Multiple R 0.923763+4 R Square 0.853338893 Adjusted R Square 0.846355031 Standard Error 0.857257302 Observations 23 ANOVA IS ance F Regression 39.79419524 89.79419524 122.1872461 3.25999E-10 Residual 15.43269171 0.734890082 22 05.226887 Coefnetents Standard Error Stal P-value Intercept 5.220695301 0.295977687 17.03881399 4.55174E-14 TIME 402280 0.010315226 053834 3.25999 E-10 Normal QQ Residuals Thesnesesl Quarties Scale-Lacadon Filled

Explanation / Answer

1) Independent variable: Time

Dependent variable: Mass

2) Intercept: 5.22

Slope: -0.11

3) The regression equation is

Mass=5.22 -0.11*(Time)

4) Coefficient of determinaton is 0.8533

Hence 85% of variation in y is explained by the model

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