According to the nutrition research, recommendation on the consumption of fiber for children and teenagers is the following (y is the amount of fiber per day (in grams), x is the age): y 17 19 22 24 26 28 31 36 37 x 2 4 8 10 12 14 16 18 (a) Test for the significance of regression using the analysis of variance with a = 0.1. Can you conclude that the model specifies a useful linear relationship between these two variables? We can v conclude that the model specifies a useful linear relationship at a = 0.1. (b) Estimate o?. Round your answer to three decimal places (e.g. 98.765). (c) Estimate the standard error of the slope and intercept in this model. Round your answers to three decimal places (e.g. 98.765). se( B 1) = se( ß o) = i 6.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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According to the nutrition research, recommendation on the consumption of fiber for children and teenagers is the following (y is the
amount of fiber per day (in grams), x is the age):
y 17 19 22 24 26 28 31 36 37
8 10 12 14 16 18
x 2
4
6.
(a) Test for the significance of regression using the analysis of variance with a = 0.1. Can you conclude that the model specifies a
useful linear relationship between these two variables?
We
conclude that the model specifies a useful linear relationship at a = 0.1.
can
(b) Estimate o?.
Round your answer to three decimal places (e.g. 98.765).
(c) Estimate the standard error of the slope and intercept in this model.
Round your answers to three decimal places (e.g. 98.765).
se( B 1)
se ( Bo) =
i
i
Transcribed Image Text:According to the nutrition research, recommendation on the consumption of fiber for children and teenagers is the following (y is the amount of fiber per day (in grams), x is the age): y 17 19 22 24 26 28 31 36 37 8 10 12 14 16 18 x 2 4 6. (a) Test for the significance of regression using the analysis of variance with a = 0.1. Can you conclude that the model specifies a useful linear relationship between these two variables? We conclude that the model specifies a useful linear relationship at a = 0.1. can (b) Estimate o?. Round your answer to three decimal places (e.g. 98.765). (c) Estimate the standard error of the slope and intercept in this model. Round your answers to three decimal places (e.g. 98.765). se( B 1) se ( Bo) = i i
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