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C A R R E N T A L C O M P A N I E S
T e s t t h e s i g n i f i c a n c e o f c o r r e l a t i o n c o e f f i c i e n t , u s i n g α = . 0 5 a n d
r = 0 . 9 8 2 .
Company Cars (in ten
thousands)
Revenue(in Billions)
A 20.8 2.1
B 63 7
C 29 3.9
D 8.5 1.5
E 13.4 1.4
F 19.1 2.8
1.Null Hyphotheses Ho: ρ=0 (There is no significant relationship between the
number of cars a rental agency owns and its annual income)
Alternative Hypotheses H1: ρ ≠ 0 (There is a significant relationship between the
number of cars a rental agency owns and its annual income)
2. α = . 0 5
3 . C r i t i c a l V a l u e s : t < - 2 . 7 7 6 o r t > 2 . 7 7 6 w i t h
4 . C o m p u t a t i o n
2
)
982
(.
1
2
6
982
.



t
4
.
10
59
.
10
982
.
359
.
112
982
.
0356
.
4
982
.




x
2
1
2
r
n
r
t



5. Decision: Reject the null hypoyhesis
6. Conclusion: There is a significant relationship between the number of
cars a rental agency owns and its annual income.
7.Verbal Interpretation:
r = 0 . 9 8 2 - ( V e r y h i g h p o s t i v e
c o r r e l a t i o n )

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Presentation in Statistics.pptx

  • 1. C A R R E N T A L C O M P A N I E S T e s t t h e s i g n i f i c a n c e o f c o r r e l a t i o n c o e f f i c i e n t , u s i n g α = . 0 5 a n d r = 0 . 9 8 2 . Company Cars (in ten thousands) Revenue(in Billions) A 20.8 2.1 B 63 7 C 29 3.9 D 8.5 1.5 E 13.4 1.4 F 19.1 2.8
  • 2. 1.Null Hyphotheses Ho: ρ=0 (There is no significant relationship between the number of cars a rental agency owns and its annual income) Alternative Hypotheses H1: ρ ≠ 0 (There is a significant relationship between the number of cars a rental agency owns and its annual income) 2. α = . 0 5 3 . C r i t i c a l V a l u e s : t < - 2 . 7 7 6 o r t > 2 . 7 7 6 w i t h 4 . C o m p u t a t i o n 2 ) 982 (. 1 2 6 982 .    t 4 . 10 59 . 10 982 . 359 . 112 982 . 0356 . 4 982 .     x 2 1 2 r n r t   
  • 3. 5. Decision: Reject the null hypoyhesis 6. Conclusion: There is a significant relationship between the number of cars a rental agency owns and its annual income. 7.Verbal Interpretation: r = 0 . 9 8 2 - ( V e r y h i g h p o s t i v e c o r r e l a t i o n )