Answer all parts with step by step calculation ( don't submit only explanation)

Table 4 shows the observations for x and z and their corresponding deviations from the sample means. Table 4 Xi Zi Xi - X Zi - Z 2 2 W O 5 -2 O The sample covariance between x and z is -3 The sample correlation coefficient between is -2 Select the best conclusion based on your c Ins of the preceding correlation coefficients. 2 O The calculations show a negative 3 elationship between x and y, a positive linear relationship between y and z, and no relationship between x and z. O The calculations show a positive linear relationship between x and y, a negative linear relationship between y and z, and a negative linear relationship between x and z. O The calculations show no linear relationship between x and y, a negative linear relationship between y and z, and a negative linear relationship between x and z. O The calculations show a negative relationship between x and y, a positive relationship between y and z, and a negative relationship between x and z.Back to Assignment Attempts Do No Harm / 7 14. Measures of association between two variables Consider a data set consisting of observations for three variables: x, y, and z. Their sample means, variances, and standard deviati shown in Table 1. Table 1 Sample Mean X = 4 y = 5 Z = 5 Sample Variance 6 2 =4 S = = 3 S.= = 9 Sample Standard Deviation S, = 2 Sy = 1.732 S, = 3 Table 2 shows the observations for x and y and their corresponding deviations from the sample means. Table 2 Xi yi Xi - X yi - y 6 6 2 4 2 0 -2 2 6 -2 The sample covariance between x and y is 1 The sample correlation coefficient between 0.5 is 0 Table 3 shows the observations for y and ir corresponding deviations from the sample means. -0.5Table 4 shows the observations for x and Z and their corresponding deviations from the sample means. The sample covariance between x and z is The sample correlation coefcient between x and z is Select the best conclusion based on your calculations 0 O 2 2 3 S 0 3 5 2 0 "he calculations show a negative linear rela relationship between x and Z. "he calculations show a positive linear relat linear relationship between x and z. - eding correlation coefcients. -etween x and v. a positive linear relationship between v and z. and no -tween x and v, a negative linear relationship between v and z, and a negative 0 \"he calculations show no linear relationship between x and v, a negative linear relationship between v and Z, and a negative linear 0 relationship between x and z. between x and Z. "he calculations show a negative relationship between x and v, a positive relationship between v and Z, and a negative relationship Ch 03: Master).r Assignment Descriptive Statistics: Numerical Measures 14. Measures of association between two variables Consider a data set consisting of observations for three variables: x, v, and Z. Their sample means, variances, and standard deviations are shown in Table 1. Table l Samplellean i=4 i=5 i=5 Sample Variance 5'2 =4 5'2 =3 5,2 :9 Sample Standard Deviation s: = 2 5! = 1.732 s, = 3 Table 2 shows the observations forx and y and their corresponding deviations From the sample means. Table 2 Is ya I; - i In - I" 5 s 2 1 4 3 0 2 2 5 2 1 "he sample covariance between x and y is 1 v . "he sample correlation coefcient between x and y is ding deviations from the sample means. "able 3 shows the observations forvr and z and their Table 3 shows the observations for y and z and their corresponding deviations from the sample means. Table 3 Vi Zi Vi-y Z-Z 5 2 1 -3 3 8 -2 3 6 5 H O The sample covariance between y and z is The sample correlation coefficient between -4.5 is -3Table 3 shows the observations for y and z and their corresponding deviations from the sample means. Table 3 Vi Zi vi- y Z -Z 2 1 -3 3 8 -2 3 5 O The sample covariance between y and z is The sample correlation coefficient between y and z is Table 4 shows the observations for x and z and their -0.866 iding deviations from the sample means. 0.866 Table 4 -0.577 Xi Zi Xi - X Zi - Z 0.577 6 2 2 -3 8 3