Write the equation of the regression line. B. Interpret each one of the slopes in this context. C. Calculate the estimated number of days absent and the residual for the first observation in the data set: a student who is aboriginal, male, a slow learner, and missed 2 days of school.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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A. Write the equation of the regression line.

B. Interpret each one of the slopes in this context.

C. Calculate the estimated number of days absent and the residual for the first observation in the data set: a student who is aboriginal, male, a slow learner, and missed 2 days of school.

Researchers interested in the relationship between absenteeism from school and certain demographic characteristics of children collected data from
146 randomly sampled students in rural New South Wales, Australia, in a particular school year. Below are three observations from this data set.
eth
Irn
days
sex
1
1
1
2
2
1
1
11
:
146
1
37
The summary table below shows the results of a linear regression model for predicting the average number of days absent based on ethnic background
(eth: 0 - aboriginal, 1 - not aboriginal), sex (sex: 0 - female, 1 - male), and learner status (Irn: 0 - average learner, 1 - slow learner).
Estimate
Std. Error
t value Pr(>|t|)
(Intercept)
18.93
2.57
7.37
0.0000
eth
-9.11
2.60
-3.51
0.0000
sex
3.10
2.64
1.18
0.2411
Irn
2.15
2.65
0.81
0.4177
Transcribed Image Text:Researchers interested in the relationship between absenteeism from school and certain demographic characteristics of children collected data from 146 randomly sampled students in rural New South Wales, Australia, in a particular school year. Below are three observations from this data set. eth Irn days sex 1 1 1 2 2 1 1 11 : 146 1 37 The summary table below shows the results of a linear regression model for predicting the average number of days absent based on ethnic background (eth: 0 - aboriginal, 1 - not aboriginal), sex (sex: 0 - female, 1 - male), and learner status (Irn: 0 - average learner, 1 - slow learner). Estimate Std. Error t value Pr(>|t|) (Intercept) 18.93 2.57 7.37 0.0000 eth -9.11 2.60 -3.51 0.0000 sex 3.10 2.64 1.18 0.2411 Irn 2.15 2.65 0.81 0.4177
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