17.1. the following data are the rates of oxygen consumption of birds, measures at different environmental tem-

peratures:

 

Temperature

( ̊C)

oxygen consumption (ml/g/hr)

-18

5.2

-15

4.7

-10

4.5

-5

3.6

0

3.4

5

3.1

10

2.7

19

1.8

 

 

xi

-18

-15

-10

-5

0

5

10

19

N=8

∑=-14

X = -1.75

yi

5.2

4.7

4.5

3.6

3.4

3.1

2.7

1.8

N=8

∑=29

y=3.625

 

b = (x׳x)-1x׳y

 

( *  )-1*  *

   =  

                                                                   ⇒ a=              b =

 

Ss total= y׳y-ny2

Ss total =  * - 8(3.625)2 = 8.915    ⇒ss total = 8.915

   

   

Ss regression: β׳x׳y - ny2

Ss regression: * *  - 8(3.625)2 =8.7452

 

Ss residual =  ss total – ss regression

⇒ Ss residual = 8.915 - 8.7452 = 0.1698

 

F

MS

SS

DF

S.O.V

 

**

309.01

8.7452

8.7452

1

regression

0.0283

0.1698

6

residual

8.915

7

Total

 

r 2=    = = 0.980

1-      r 2 = 1-0.980 = 0.02

b =

sb =    =  = 0.0049

t =  :  = 17.918      18