Below are the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8 2 83.8 3 91.4 5 106.6 119.3 10 137.1 14 157.5 O Part (a) O Part (b) O Part (c) O Part (d) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.) ý = O Part (e) Find the correlation coefficient r. (Round your answer to four decimal places.) r= Is it significant? Yes O No O Part (f) 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 a eleven-year-old. (Use your equation from part (d). Round your answer to two decimal places.) cm O Part (g) Does it appear that a line is the best way to fit the data? Why or why not? O A line does appear to be the best way to fit the data because the data points follow a positive linear trend. O A line is not the best way to fit the data because it does not touch all the data points. O A line is the best way to fit the data because there is only one correct line that will fit a data set. O A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please label each part

SUBPART 

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)
+ Part (b)
+ Part (c)
Part (d)
Calculate the least squares line. Put the equation in the form of: ý = a + bx. (Round your answers to three decimal places.)
%3D
Part (e)
Find the correlation coefficient r. (Round your answer to four decimal places.)
r =
Is it significant?
Yes
No
O Part (f)
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 a eleven-year-old. (Use your equation from part (d). Round your answer to two decimal places.)
cm
O Part (g)
Does it appear that a line is the best way to fit the data? Why or why not?
A line does appear to be the best way to fit the data because the data points follow a positive linear trend.
A line is not the best way to fit the data because it does not touch all the data points.
A line is the best way to fit the data because there is only one correct line that will fit a data set.
A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive.
O O O O
Transcribed Image Text: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) + Part (b) + Part (c) Part (d) Calculate the least squares line. Put the equation in the form of: ý = a + bx. (Round your answers to three decimal places.) %3D Part (e) Find the correlation coefficient r. (Round your answer to four decimal places.) r = Is it significant? Yes No O Part (f) 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 a eleven-year-old. (Use your equation from part (d). Round your answer to two decimal places.) cm O Part (g) Does it appear that a line is the best way to fit the data? Why or why not? A line does appear to be the best way to fit the data because the data points follow a positive linear trend. A line is not the best way to fit the data because it does not touch all the data points. A line is the best way to fit the data because there is only one correct line that will fit a data set. A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive. O O O O
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