# Mathcad - UF-ESI-6321-12-03-01 - UF-ESI-6321 UF-ESI-01.xmcd...

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Unformatted text preview: UF-ESI-6321 UF-ESI-6321-12-03-01.xmcd page 1 of 2 12.3.1 In a simple linear regression analysis with n := 18 data points, an estimate 1 := 0.522 is obtained with SE_1 := 0.142 (a) Calculate a two-sided := 1 - 99% = 1 % confidence interval for the slope parameter 1. This problem has v := n - 2 = 16 degrees of freedom. 2 = 0.005 qt 2 , v = -2.921 1 + qt 2 , v SE_1 0.107 = 1 - qt , v SE_1 0.937 2 Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 UF-ESI-6321 UF-ESI-6321-12-03-01.xmcd page 2 of 2 (b) Test the null hypothesis H0: 1 := 0 against a two-sided alternative hypothesis. t := 1 - 1 SE_1 = 3.676 p := 2 ( 1 - pt ( t , v) ) = 0.002 Since p is exceedingly small, there is sufficient evidence to conclude that 1 is not equal to 0 and thus to reject the null hypothesis. Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 ...
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Mathcad - UF-ESI-6321-12-03-01 - UF-ESI-6321 UF-ESI-01.xmcd...

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