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# Mathcad - UF-ESI-6321-13-06-08 - UF-ESI-6321 UF-ESI-08.xmcd...

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Unformatted text preview: UF-ESI-6321 UF-ESI-6321-13-06-08.xmcd page 1 of 2 13.6.8 The multiple linear regression model y = 0 + 1 x1 + 2 x2 is fitted to a data set of n := 30 observations. (a) Suppose that 1 := -45.2 se_1 := 39.5 2 := 3.55 se_2 := 5.92 Is it clear that both x1 and x2 should be removed from the model? t1 := 1 se_1 = -1.144 t2 := 2 se_2 = 0.600 k := 2 v := n - k - 1 = 27 p1 := 2 ( 1 - pt ( t1 , v) ) = 0.2625 p2 := 2 ( 1 - pt ( t2 , v) ) = 0.5537 Remove both x1 and x2 from the model based on these high values of p. Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 UF-ESI-6321 UF-ESI-6321-13-06-08.xmcd page 2 of 2 (b) Suppose that 1 := -45.2 se_1 := 8.6 2 := 3.55 se_2 := 0.63 Is it clear that you would not want to remove either x1 and x2 from the model? t1 := 1 se_1 = -5.256 t2 := 2 se_2 = 5.635 p1 := 2 ( 1 - pt ( t1 , v) ) = 0.0000 p2 := 2 ( 1 - pt ( t2 , v) ) = 0.0000 Preserve both x1 and x2 in the model based on these low values of p. Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 ...
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Mathcad - UF-ESI-6321-13-06-08 - UF-ESI-6321 UF-ESI-08.xmcd...

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