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Question 6 There is an approximate linear relationship between the height of fem

ID: 3227537 • Letter: Q

Question

Question 6

There is an approximate linear relationship between the height of females and their age (from 5 to 18 years) described by: height = 50.3 + 6.01(age) where height is measured in cm and age in years. Which of the following is NOT CORRECT?

The average height of children when they are 5 years old is about 50% of the average height when they are 18 years old.

The estimated intercept is 50.3 cm which implies that children reach this height when they are 50.3/6.01=8.4 years old.

The estimated height of a child who is 10 years old is about 110 cm.

My niece is about 8 years old and is about 115 cm tall. She is taller than average.

The estimated slope is 6.01 which implies that children increase by about 6 cm for each year they grow older.

a.

The average height of children when they are 5 years old is about 50% of the average height when they are 18 years old.

b.

The estimated intercept is 50.3 cm which implies that children reach this height when they are 50.3/6.01=8.4 years old.

c.

The estimated height of a child who is 10 years old is about 110 cm.

d.

My niece is about 8 years old and is about 115 cm tall. She is taller than average.

e.

The estimated slope is 6.01 which implies that children increase by about 6 cm for each year they grow older.

Explanation / Answer

Correct answer is B. this is because the estimated intercept is 50.3 cm which implies that children reach this height when they are 0 years old.

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