بنام خدا

 براي داده هاي زير، نمودار پراكنش و خط تابعيت رسم كنيد.

3

 

1.4







4

1.5








5

2.2








6

2.4








8

3.1








9

3.2








10

3.2








11

3.9








12

4.1








14

4.7








15

4.5








16

5.2








17

5








 

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

peratures: a)  calculate a and b for the regression of oxygen consumption rate on temperature.

b)  Test, by analysis of variance, the hypothesis H0:= 0.

c)  Calculate the standard error of estimate of the regression.

d)  Calculate the coefficient of determination of regression.


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

yi

xy

X2

Y2

-18

5.2

-93.6

324

27.04

-15

4.7

-70.5

225

22.09

-10

4.5

-45

100

20.25

-5

3.6

-18

25

12.96

0

3.4

0

0

11.56

5

3.1

15.5

25

9.61

10

2.7

27

100

7.29

19

1.8

34.2

361

3.24

N=8

N=8

N=8

N=8

N=8

∑=-14

∑=29

-150.4

1160

114.04

X = -1.75

y=3.625

-

-

-

 

 

b =       =    =   = - 0.0877

a = Yi – bX = 3.625 – (-0.0877)(-1.75) = 3.4715

Ŷ = 3.4697+ 0.0674 xi

 

H0: b = 0     ,     H1: b  0 

Ss total: ∑Yi2  =  114.04  -  = 8.915

Ss regression =  =  =  8.745

Ss residval = ssT – ssR = 8.915 - 8.7451 = 0.17

 


F

MS

SS

DF

S.O.V

 

**

309.01

8.745

8.745

1

regression



0.0283

0.17

6

residval




8.915

7

Total

 

آزمون معني دار است يعني تابعيت از نظر آماري وجود دارد.