A contract engineer studied the rate at which a spilled volatile liquid will spr

Question

A contract engineer studied the rate at which a spilled volatile liquid will spread across a surface. The engineer measured the mass (in pounds) of the spill after a period of time ranging from 0-60 seconds. A quadratic model was fit for the data and the output is below. Residual standard error: 3.997 on 20 degrees of freedom Multiple R-squared: 0.9537, Adjusted R-squared: 0.9491 F-statistic: 206.1 on 2 and 20 DF. p-value: 4.50le-14 a) Write the estimated quadratic model. b) Conduct a test of hypothesis to check if the quadratic term is significant. c) Is the overall model significant? Conduct a test. d) What is the value of the coefficient of determination? Interpret it.

Explanation / Answer

Answer to the question is as follows:

a) The estimated quadratic model:

SpillRate = 49.3256 -16.3007Mass + 1.4153Mass^2

b) The hypothesis is already tested, t value is 6.587

p-value = 2.04*e^-06

The Msquared is significant as pvalue is <.05

c) Is overall model significance ? yes it is .

Look at the pvalue of overall model 4.501*10^-14, which is less than .05.

The model is significant.

d) Coefficient of determination = .9537

It is interpreted as " 95.37% of variance in model is being explained by the Mass and Mass squared variables)

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