80 70 60 50 40 30 20 10 0 x₁ Y 50 40 40 60 20 (a) Develop a scatter diagram with x on the horizontal axis. O 2 4 6 11 3 16 70 60 50 40 30 20 10 10 10 15 15 20 20 80 70 60 50 40 30 20 10 0 80 70 60 50 40 30 20 10 0 0 . 10 10 15 15 20 20

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(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
The scatter diagram Indicates that there is a negative relationship between the two variables.
(c) Compute the sample covariance.
Based on the sample covariance, what can be said about the relationship between the two variables?
O There is a strong positive linear relationship between the two variables.
O There is a strong negative linear relationship between the two variables.
O There is no relationship between the two variables.
O There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance,
O There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance.
(d) Compute the sample correlation coefficient. (Round your answer to three decimal places.)
Based on the sample correlation coefficient, what can be said about the relationship between the two variables?
O There is a strong positive linear relationship between the two variables.
There is a strong negative linear relationship between the two variables.
O There is no relationship between the two variables.
O There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient.
There is a negative tinear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient.
Transcribed Image Text:(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram Indicates that there is a negative relationship between the two variables. (c) Compute the sample covariance. Based on the sample covariance, what can be said about the relationship between the two variables? O There is a strong positive linear relationship between the two variables. O There is a strong negative linear relationship between the two variables. O There is no relationship between the two variables. O There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance, O There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance. (d) Compute the sample correlation coefficient. (Round your answer to three decimal places.) Based on the sample correlation coefficient, what can be said about the relationship between the two variables? O There is a strong positive linear relationship between the two variables. There is a strong negative linear relationship between the two variables. O There is no relationship between the two variables. O There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient. There is a negative tinear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient.
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Transcribed Image Text:80 70 60 50 40 30 20 10 X₁ 4 0 Y 50 (a) Develop a scatter diagram with x on the horizontal axis. 0 6 80 70 60 50 40 30 20 10 11 3 16 40 40 60 20 5 10 10 15 15 X 20 20 00 80 70 60 50 40 30 20 10 0 80 70 60 50 40 30 20 10 0 0 0 5 10 10 15 15 20 20
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