Exercise 3 Flemming Geir is located in a certain village in Egypt, and he intends to create a model that can be used to predict the height of children based on their age. To estimate the parameters in the he model measured the height of 12 children and registered their age in months. Scatter of the data with a few useful statistics is shown below. Variable Mean Standard deviation Age 23.50 3.61 Height 79.66 1.79 The correlation between age and height is 0.95. 18 20 22 24 26 28 Age in months a) Find the least squares regression equation for Flemmings model. b) What is the value of the coefficient of determination and what does it tell us? c) Find 95 % confidence interval for the slope, B1. Use se 0.60. d) How much does a baby grow in one month according to the model? e) Use the model to predict the height of a 6 months old baby. Is the prediction is reliable? Explain. Height in cm 77 78 79 80 81 82
Exercise 3 Flemming Geir is located in a certain village in Egypt, and he intends to create a model that can be used to predict the height of children based on their age. To estimate the parameters in the he model measured the height of 12 children and registered their age in months. Scatter of the data with a few useful statistics is shown below. Variable Mean Standard deviation Age 23.50 3.61 Height 79.66 1.79 The correlation between age and height is 0.95. 18 20 22 24 26 28 Age in months a) Find the least squares regression equation for Flemmings model. b) What is the value of the coefficient of determination and what does it tell us? c) Find 95 % confidence interval for the slope, B1. Use se 0.60. d) How much does a baby grow in one month according to the model? e) Use the model to predict the height of a 6 months old baby. Is the prediction is reliable? Explain. Height in cm 77 78 79 80 81 82
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 answer questions D and E.
Transcribed Image Text:Exercise 3
Flemming Geir is located in a certain village in Egypt, and he intends to create a model that can
be used to predict the height of children based on their age. To estimate the parameters in the
he model measured the height of 12 children and registered their age in months. Scatter of the
data with a few useful statistics is shown below.
Variable
Mean Standard deviation
Age
23.50
3.61
Height
79.66
1.79
The correlation between age
and height is 0.95.
18
20
22
24
26
28
Age in months
a) Find the least squares regression equation for Flemmings model.
b) What is the value of the coefficient of determination and what does it tell us?
c) Find 95 % confidence interval for the slope, B1. Use se 0.60.
d) How much does a baby grow in one month according to the model?
e) Use the model to predict the height of a 6 months old baby. Is the prediction is reliable?
Explain.
Height in cm
77 78 79 80 81 82
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