9 8 e 10 ibt 0034913 0006707 5 2 0 5 3 4 5 e 07 vis

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Unformatted text preview: e r c e p t ) − 10.017861 1 . 6 5 3 0 5 8 − 6.060 3 . 7 8 e −09 ∗∗∗ humidity 0.085101 0.014347 5 . 9 3 1 7 . 7 0 e −09 ∗∗∗ temp 0.232806 0.036074 6 . 4 5 4 3 . 9 8 e −10 ∗∗∗ ibt 0.034913 0.006707 5 . 2 0 5 3 . 4 5 e −07 ∗∗∗ vis − 0.008201 0 . 0 0 3 6 9 2 − 2.221 0.027 ∗ doy − 0.010197 0 . 0 0 2 4 4 5 − 4.170 3 . 9 1 e −05 ∗∗∗ −−− S i g n i f . c o d e s : 0 ∗∗∗ 0 . 0 0 1 ∗∗ 0 . 0 1 ∗ 0 . 0 5 . 0 . 1 R e s i d u a l s t a n d a r d e r r o r : 4 . 4 3 on 324 d e g r e e s o f freedom M u l t i p l e R−s q u a r e d : 0 . 6 9 8 8 , Adjusted R−s q u a r e d : 0 . 6 9 4 2 F− s t a t i s t i c : 1 5 0 . 3 on 5 and 324 DF, p−v a l u e : < 2 . 2 e −16 e. Here is the R output: > vif ( fit2 ) humidity temp ibt vis doy 1.361547 4.559989 4.433784 1.439140 1.091938 Yes, they have been smaller. f. No variable from the previous part have a VIF indicating a possible problem. 2. Solution a. Here is the summary: > f i t 1=lm ( AverageWeight ˜Age , data=r e l a t i o n ) > summary ( f i t 1 ) Call : lm ( f o r m u l a = AverageWeight ˜ Age , data = r e l a t i o n ) Residuals : 1 2 − 0.00204 0 . 0 0 1 0 7 3 4 5 0 . 0 0 3 6 8 − 0.00241 − 0.00030 2 1 Coefficients : Estimat e Std . E r r o r t v a l u e Pr ( > | t | ) ( I n t e r c e p t ) 7 . 9 9 9 8 5 0 0 0 . 0 0 3 0 1 2 3 2 6 5 5 . 7 4 1 . 1 8 e −10 ∗∗∗ Age − 0.0253100 0 . 0 0 0 9 0 8 2 − 27.87 0 . 0 0 0 1 0 1 ∗∗∗ −−− S i g n i f . c o d e s : 0 ∗∗∗ 0 . 0 0 1 ∗∗ 0 . 0 1 ∗ 0 . 0 5 . 0 . 1 1 R e s i d u a l s t a n d a r d e r r o r : 0 . 0 0 2 8 7 2 on 3 d e g r e e s o f freedom M u l t i p l e R−s q u a r e d : 0 . 9 9 6 2 , Adjusted R−s q u a r e d : 0 . 9 9 4 9 F− s t a t i s t i c : 7 7 6 . 6 on 1 and 3 DF, p−v a l u e : 0 . 0 0 0 1 0 1 4 b. From the summary above, t test has t value -27.87 and p value 0.000101 (or F test has p value 0.0001014). So there is a significant relationship between AverageWeight and...
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This homework help was uploaded on 03/28/2014 for the course STAT 425 at University of Illinois, Urbana Champaign.

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