Question

For the given reports, are the given values of the correlation coefficient reasonable?

1. A) A correlation of r = +0.7 between gender and height.

i) Reasonable ii) Unreasonable

1. B) A correlation of r = +1.0 between outdoor temperature and sales of ice cream.

i) Reasonable ii) Unreasonable

1. C) A correlation of r = 0 between shoe size and IQ scores in a study of adults.

i) Reasonable ii) Unreasonable

1. D) A correlation of r = +0.7 between distance from the equator for North American cities and average January temperature.

i) Reasonable ii) Unreasonable

1. E) A correlation of r = -0.8 between outside temperature and sales of hot chocolate.

i) Reasonable ii) Unreasonable

Answer 1

1. A) A correlation of r = +0.7 between gender and height.

ii) Unreasonable

EXPALANTION:Gender is a categorical variable.hence exact correlation coefficient cannot be found.

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1. B) A correlation of r = +1.0 between outdoor temperature and sales of ice cream.

i) Reasonable

EXPLANATION: As the outside temperature increases,people are more like to eat ice cream,and the sales of icecream also increases and vice versa. So a postive correlation exists.

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1. C) A correlation of r = 0 between shoe size and IQ scores in a study of adults.

  i) Reasonable

EXPALNATION:There is no relationship between Shoe size andIQ of an individual. Hence zero correlation.

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1. D) A correlation of r = +0.7 between distance from the equator for North American cities and average January temperature.

ii) Unreasonable

EXPLANANTION:As,distance from the equator for North American cities increases,average January temperature decreases,hence a negetive correlation exists.

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1. E) A correlation of r = -0.8 between outside temperature and sales of hot chocolate.

i) Reasonable

EXPLANATION:Ingeneral, hot chocolate is consumed when the outside temperature is low.. There exists a negetive relationship.

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