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Hello, I have attached the tables I am working on below, and I have included the available answers to each fill in the blank. Thank

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Hello, I have attached the tables I am working on below, and I have included the available answers to each fill in the blank. Thank you for any help!

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Consider a data set consisting of observations for three variables: x, y, and 2. Their sample means, variances, and standard deviations are shown in Table 1. Table 1 Sample Mean 3; = 3 37 = 6 z = 2 Sample Variance 512 = 3 5y2 = 3 5,,2 = 4 Sample Standard Deviation 5x = 1.732 sy = 1.732 52 = Table 2 shows the observations for x and y and their corresponding deviations from the sample means. Table 2 5 7 2 1 2 4 -1 -2 2 7 -1 1 The sample covariance between x and y is V . The sample correlation coefcient between x and y is V . Table 3 shows the observations for y and z and their corresponding deviations from the sample means. 7 4 1 2 4 2 -2 O 7 O 1 -2 The sample covariance between y and z is V . The sample correlation coefficient between V and z is V . Table 4 shows the observations for x and z and their corresponding deviations from the sample means. 5 4 2 2 2 2 -1 O 2 0 -1 -2 The sample covariance between x and z is V . The sample correlation coefficient between x and z is V . Select the best conclusion based on your calculations of the preceding correlation coefcients. 0 The calculations show a negative relationship between x and y, a positive relationship between V and z, and a negative relationship between x and z. 0 The calculations show a positive linear relationship between x and y, a negative linear relationship between V and z, and a negative linear relationship between x and 2. O The calculations show a positive linear relationship between x and y, no linear relationship between V and z, and a positive linear relationship between x and 2. O The calculations show a negative linear relationship between x and y, a positive linear relationship between v and z, and no relationship between x and z. 1.5 -1.5-0.333 0.5 -0.5 0.333\f-0.144 0.289 0.144 OUJ L 2

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