A. Describe the strength and direction of correlation of the following pairs of variables. Complete the table bellows and compute the value of correlation coefficient (r). Using the formula --- n(Exy)-(Ex)(Ey) √InEx²-(Ex)²][nEy²-(Ey)²] 1. The following are the ages of (X) of the babies in months and their heights (Y) in centimeters. Determine if there is a relationship between their ages and heights. Baby X Y 36 86 48 90 51 91 54 93 57 94 60 95 ABCDEF

(b) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r2. (Use 3 decimal places.)   r r2 x1, x2     x1, x3     x2, x3

Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 19 23 31 49 51 70 79 Row 2 156 155 190 141 202 191 181 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r= 0.430 (Round to three decimal places as needed.) Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values. (Round to three decimal places as needed.)

The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 Choose answer from the following: a. 0.855 b.0.174

decimal equivalent to 3/2pi

:::.