A simple random sample of 100 men aged 25-34 averaged 70

Chapter 7, Problem 15E

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QUESTION:

A simple random sample of 100 men aged 25–34 averaged 70 inches in height, and had a standard deviation of 3 inches. Their incomes averaged $34,900 and had a standard deviation of $17,200. Fill in the blank: From the least-squares line, we would predict that the income of a man 70 inches tall would be _________ .

i. less than $34,900.

ii. greater than $34,900.

iii. equal to $34,900.

iv. We cannot tell unless we know the correlation.

Questions & Answers

QUESTION:

A simple random sample of 100 men aged 25–34 averaged 70 inches in height, and had a standard deviation of 3 inches. Their incomes averaged $34,900 and had a standard deviation of $17,200. Fill in the blank: From the least-squares line, we would predict that the income of a man 70 inches tall would be _________ .

i. less than $34,900.

ii. greater than $34,900.

iii. equal to $34,900.

iv. We cannot tell unless we know the correlation.

ANSWER:

Step 1 of 2

Given that,

A simple random sample of 100 men aged 25-34 averaged 70 inches in height, and had a standard deviation of 3 inches.

Their incomes averaged $34,900 and had a standard deviation of $I7,200.

It is required to fill the blank from the provided options for the statement:

From the least-squares line, we would predict that the income of a man 70 inches tall would be _____________.

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