Listed below are annual data for various years. The data are the numbers of cars sold​ (thousands) and the numbers of points scored in the Super Bowl. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between those two​ variables? Would it be reasonable to expect a​ correlation?    Car Sales    Super Bowl Points 8174    62 8219    69 8515    44 8998    75 8638    44 8532    57 8273    54 8144    53      What are the null and alternative​ hypotheses?     A. H0​: ρ=0 H1​: ρ≠0   B. H0​: ρ=0 H1​: ρ>0   C. H0​: ρ≠0 H1​: ρ=0   D. H0​: ρ=0 H1​: ρ<0 Part 2 Construct a scatterplot. Choose the correct graph below.     A.       800090000100Car SalesSuper Bowl Points         A scatterplot has a horizontal scale labeled Car Sales from 8000 to 9000 in intervals of 100 and a vertical scale labeled Super Bowl Points from 0 to 100 in intervals of 10. Eight points are plotted with approximate coordinates as follows: (8140, 47); (8170, 38); (8220, 31); (8270, 46); (8520, 56); (8530, 43); (8640, 56); (9000, 25).   B.       80009000050100Car SalesSuper Bowl Points         A scatterplot has a horizontal scale labeled Car Sales from 8000 to 9000 in intervals of 100 and a vertical scale labeled Super Bowl Points from 0 to 100 in intervals of 10. Eight points are plotted with approximate coordinates as follows: (8002, 75); (8362, 44); (8468, 57); (8485, 44); (8727, 54); (8781, 69); (8826, 62); (8856, 53).   C.       80009000050100Car SalesSuper Bowl Points         A scatterplot has a horizontal scale labeled Car Sales from 8000 to 9000 in intervals of 100 and a vertical scale labeled Super Bowl Points from 0 to 100 in intervals of 10. Eight points are plotted with approximate coordinates as follows: (8140, 53); (8170, 62); (8220, 69); (8270, 54); (8520, 44); (8530, 57); (8640, 44); (9000, 75).   D.       800090000100Car SalesSuper Bowl Points         A scatterplot has a horizontal scale labeled Car Sales from 8000 to 9000 in intervals of 100 and a vertical scale labeled Super Bowl Points from 0 to 100 in intervals of 10. Eight points are plotted with approximate coordinates as follows: (8002, 25); (8362, 56); (8468, 43); (8485, 56); (8727, 46); (8781, 31); (8826, 38); (8856, 47). Part 3 The linear correlation coefficient is r=enter your response here. ​(Round to three decimal places as​ needed.) Part 4 The test statistic is t=enter your response here. ​(Round to two decimal places as​ needed.) Part 5 The​ P-value is enter your response here. ​(Round to three decimal places as​ needed.) Part 6 Because the​ P-value is ▼   greater less than the significance level 0.05​, there ▼   is is not sufficient evidence to support the claim that there is a linear correlation between car sales and Super Bowl points for a significance level of α=0.05. Part 7 Based on the​ results, would it be reasonable to expect a​ correlation?     A. It would be reasonable to expect a correlation between car sales and points scored in the Super Bowl because there are many car advertisements during the Super Bowl commercials.   B. It would be reasonable to expect a correlation between car sales and points scored in the Super Bowl because car manufacturers help sponsor the Super Bowl.   C. It would be unreasonable to expect a correlation between car sales and points scored in the Super Bowl because common sense suggests they are unrelated.   D. It would be unreasonable to expect a correlation between car sales and points scored in the Super Bowl because car manufacturers do not help sponsor the Super Bowl.

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Listed below are annual data for various years. The data are the numbers of cars sold​ (thousands) and the numbers of points scored in the Super Bowl. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value using α=0.05.

Is there sufficient evidence to conclude that there is a linear correlation between those two​ variables? Would it be reasonable to expect a​ correlation? 

 

Car Sales    Super Bowl Points
8174    62
8219    69
8515    44
8998    75
8638    44
8532    57
8273    54
8144    53
    

What are the null and alternative​ hypotheses?
 
 
A.
H0​:
ρ=0
H1​:
ρ≠0
 
B.
H0​:
ρ=0
H1​:
ρ>0
 
C.
H0​:
ρ≠0
H1​:
ρ=0
 
D.
H0​:
ρ=0
H1​:
ρ<0
Part 2
Construct a scatterplot. Choose the correct graph below.
 
 
A.
 
 
 
800090000100Car SalesSuper Bowl Points
 
  •  
  •  
  •  
A scatterplot has a horizontal scale labeled Car Sales from 8000 to 9000 in intervals of 100 and a vertical scale labeled Super Bowl Points from 0 to 100 in intervals of 10. Eight points are plotted with approximate coordinates as follows: (8140, 47); (8170, 38); (8220, 31); (8270, 46); (8520, 56); (8530, 43); (8640, 56); (9000, 25).
 
B.
 
 
 
80009000050100Car SalesSuper Bowl Points
 
  •  
  •  
  •  
A scatterplot has a horizontal scale labeled Car Sales from 8000 to 9000 in intervals of 100 and a vertical scale labeled Super Bowl Points from 0 to 100 in intervals of 10. Eight points are plotted with approximate coordinates as follows: (8002, 75); (8362, 44); (8468, 57); (8485, 44); (8727, 54); (8781, 69); (8826, 62); (8856, 53).
 
C.
 
 
 
80009000050100Car SalesSuper Bowl Points
 
  •  
  •  
  •  
A scatterplot has a horizontal scale labeled Car Sales from 8000 to 9000 in intervals of 100 and a vertical scale labeled Super Bowl Points from 0 to 100 in intervals of 10. Eight points are plotted with approximate coordinates as follows: (8140, 53); (8170, 62); (8220, 69); (8270, 54); (8520, 44); (8530, 57); (8640, 44); (9000, 75).
 
D.
 
 
 
800090000100Car SalesSuper Bowl Points
 
  •  
  •  
  •  
A scatterplot has a horizontal scale labeled Car Sales from 8000 to 9000 in intervals of 100 and a vertical scale labeled Super Bowl Points from 0 to 100 in intervals of 10. Eight points are plotted with approximate coordinates as follows: (8002, 25); (8362, 56); (8468, 43); (8485, 56); (8727, 46); (8781, 31); (8826, 38); (8856, 47).
Part 3
The linear correlation coefficient is
r=enter your response here.
​(Round to three decimal places as​ needed.)
Part 4
The test statistic is
t=enter your response here.
​(Round to two decimal places as​ needed.)
Part 5
The​ P-value is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 6
Because the​ P-value is
 
greater
less
than the significance level
0.05​,
there
 
is
is not
sufficient evidence to support the claim that there is a linear correlation between car sales and Super Bowl points for a significance level of
α=0.05.
Part 7
Based on the​ results, would it be reasonable to expect a​ correlation?
 
 
A.
It would be reasonable to expect a correlation between car sales and points scored in the Super Bowl because there are many car advertisements during the Super Bowl commercials.
 
B.
It would be reasonable to expect a correlation between car sales and points scored in the Super Bowl because car manufacturers help sponsor the Super Bowl.
 
C.
It would be unreasonable to expect a correlation between car sales and points scored in the Super Bowl because common sense suggests they are unrelated.
 
D.
It would be unreasonable to expect a correlation between car sales and points scored in the Super Bowl because car manufacturers do not help sponsor the Super Bowl.
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