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Researchers would like to investigate the theory that a mother's shoe size can be used to predict an infant's birth weight. The accompanying table records a random sample of the shoe sizes of 10 mothers and the birth weights of their infants. Complete parts a through c below.a

mothers show size In fants weight
38 1.9
42 2.5
36 1.8
41 2.2
30 1.5


a. Calculate the sample covariance.


b. Calculate the sample correlation coefficient.

c. Describe the relationship between x and y. Choose the correct answer below.