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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
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?
H0:
ρ=0
H1:
ρ≠0
H0:
ρ=0
H1:
ρ>0
H0:
ρ≠0
H1:
ρ=0
H0:
ρ=0
H1:
ρ<0
Part 2
Construct a scatterplot. Choose the correct graph below.
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
than the significance level
sufficient evidence to support the claim that there is a linear correlation between car sales and Super Bowl points for a significance level of
▼
greater
less
0.05,
there
▼
is
is not
α=0.05.
Part 7
Based on the results, would it be reasonable to expect a correlation?
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.
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.
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.
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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