Mathcad - UF-ESI-6321-12-08-05

Mathcad - UF-ESI-6321-12-08-05 - UF-ESI-6321...

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Unformatted text preview: UF-ESI-6321 UF-ESI-6321-12-08-05.xmcd page 1 of 2 12.8.5 An experimenter has data on the yield and the temperature of a chemical process and wishes to fit the model yield = 0 e 1 temperature A linear regression model is fitted to the data y = ln( yield ) x = temperature with the results n := 25 0 := 2.628 1 := 0.341 se_1 := 0.025 Find 0, 1, and calculate a 95% confidence interval for 1. y = 0 + 1 x 1 temperature yield = 0 e ln( yield ) = ln 0 e 1 temperature ln( yield ) = 0 + 1 temperature ln 0 e 1 temperature 1 temperature = ln( 0) + ln e = ln( 0) + 1 temperature ln 0 e 1 temperature 0 + 1 temperature = ln( 0) + 1 temperature Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 UF-ESI-6321 UF-ESI-6321-12-08-05.xmcd page 2 of 2 0 = ln( 0) 0 := e 0 = 13.846 1 := 1 = 0.341 se_1 := se_1 = 0.025 i := 1 .. n := 1.00 - 0.95 = 0.05 v := n - 2 = 23 t := qt 2 , v = -2.069 1 + t se_1 0.289 = 1 - t se_1 0.393 Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 ...
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Mathcad - UF-ESI-6321-12-08-05 - UF-ESI-6321...

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