please be careful with the rounding and use all decimal places when needed

Below are the average heights for American boys in 1990.

Age (years) Height (cm )

birth 50.8

2 83.8

3 91.4

5 106.6

7 119.3

10 137.1

14 157.5

part a

Calculate the least squares line. Put the equation in the form of:=a+bx.

(Round your answers to three decimal places.)

=_____+______x

part b

Find the correlation coefficientr. (Round your answer to four decimal places.)

r=_______

Is it significant?

a) Yes

b) No

part c

Find the estimated average height for a one-year-old. (Use your equation from part (d). Round your answer to one decimal place.)

______cm

Find the estimated average height for aeleven-year-old. (Use your equation from part (d). Round your answer to two decimal places.)

______cm

part d

Use the least squares line to estimate the average height for afifty-nine-year-old man. (Use your equation from part (d). Round your answer to one decimal place.)

_____cm

Do you think that your answer is reasonable? Why or why not?

a) Yes, because the answer is positive.

b) No, because 59 is outside the domain of the least squares line.

part e

What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)

________

Interpret the slope. (Round your answer to three decimal places.)

As age increases by one year, the average height(increases or decreases)by_________centimeters.