bmuchoki18

Consider a data set consisting of values for three variables: x, y, and z. Three observations are made on each of the three variables. The following table shows the values of x, y, z, x2, y, z2, xy, yz, and xz for each observation. Observation x y z X2 y2 z2 xy yz xz 5 7 4 25 49 16 35 28 20 2 4 2 4 16 4 8 8 4 2 7 0 4 49 0 14 0 0 The sample correlation coefficient between x and y is The sample correlation coefficient between y and z is The sample correlation coefficient between x and z is Select the best conclusion based on your calculations of the previous correlation coefficients. 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. The calculations show a negative linear relationship between x and y, a positive linear relationship between y and z, and no relationship between x and z. The calculations show a positive linear relationship between x and y, no linear relationship between y and z, and a positive linear relationship between x and z. The calculations show a negative linear relationship between x and y, a positive linear relationship between y and z, and a negative linear relationship between x and z.