There is an approximate linear relationship between the height of females and th
ID: 3228661 • Letter: T
Question
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 height of a child who is 10 years old is about 110 cm.
The estimated slope is 6.01 which implies that children increase by about 6 cm for each year they grow older.
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.
My niece is about 8 years old and is about 115 cm tall. She is taller than average.
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 height of a child who is 10 years old is about 110 cm.
c.The estimated slope is 6.01 which implies that children increase by about 6 cm for each year they grow older.
d.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.
e.My niece is about 8 years old and is about 115 cm tall. She is taller than average.
Explanation / Answer
d is not correct because the intercept implies that at age 0 i.e. at the time of birth, the children height would be 50.3 cm.
So,
Option D is the answer.
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