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Five observations taken for two variables follow 80 70 60 50 40 30 20 10 0 x 0 Y 4 6 11 a Develop a scatter diagram with x on the horizontal axis y 5 3 16 50 60 40 60 30 10 15 c Compute the sample covariance 20 X y 80 70 60 50 40 30 20 10 0 DO 0 5 10 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 Select relationship between the two variables 15 O There is a strong negative linear relationship between the two variables There is no relationship between the two variables Based on the sample correlation coefficient what can be said about the relationship between the two variables There is a strong positive linear relationship between the two variables 20 X DO y 80 70 60 50 40 30 20 10 0 0 5 10 Based on the sample covariance what can be said about the relationship between the two variables 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 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 15 X 20 DO 80 70 60 50 40 30 20 10 0 0 MY NOTES 5 ASK YOUR 10 15

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