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14.18 Long eyelashes. False eyelashes are sometimes worn in an effort to extend the length of an individual's natural eyelashes. Research suggests, however, that our

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14.18 Long eyelashes. False eyelashes are sometimes worn in an effort to extend the length of an individual's natural eyelashes. Research suggests, however, that our natural eyelash length is proportional to the width of our eye. To better understand how eye width length (in centimeters, or cm) is related to eyelash length (in centimeters, or cm), measurements were obtained from 22 mammals. Those measurements are presented here. 69.. Mammal Eye width (cm) Eyelash length (cm) Armadillo 0.57 0.13 Hedgehog 0.39 0.23 Anteater 0.74 0.23 Elephant shrew 0.58 0.41 Lemur 1.08 0.43 Opposum 0.72 0.24 Porcupine 0.70 0.36 Red panda 1.52 0.32 Jack rabbit 0.92 0.61 Badger 1.75 0.42 Panda 1.89 0.60 Cat 1.98 0.38 Chimpanzee 1.98 0.47 Wild sheep 2.02 0.95 Camel 2.20 0.76 Snow leopard 2.41 0.89 Cougar 2.54 0.86 Tapir 2.60 1.21 African wild dog 2.64 0.76 Wild boar 2.92 0.80 Red kangaroo 3.09 0.67 Giraffe 4.08 1.66 a. Make a scatterplot. (Which variable should be the explanatory variable?) b. Is the association between these variables positive or negative? Explain why you expect the relationship to have this direction. c. Describe the form and strength of the relationship. a. Use a calculator to nd. the correlation 'r. Explain from looking at the scatterplot why this value of r is reasonable. b. Suppose that the eye widths had been recorded in inches rather than centimeters. For example, the eye width of the giraffe would be 1.61 inches rather than 4.08 centimeters. How would the value of 1' change

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