State the estimated coefficient for time and its interpretation. Also, state what the coefficient of determination is and its interpretation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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State the estimated coefficient for time and its interpretation. Also, state what the coefficient of determination is and its interpretation. 

In Fragile Families and Child Wellbeing study, a researcher wants to evaluate whether primary caregiver relationship
to youth and how much time youth lives with primary caregiver coupled with household income would affect number
of days youth absent from school. The following variables are considered: zizaloqui a obnos of enslq sodrum od
time: how much time youth lives with the primary caregiver. (1-less than half of the time, 0-most of the time)te all of
income: primary caregiver household income (in the unit of thousand dollar)
days: number of days youth absent from school.
relationship: primary caregiver relationship to the youth
RI-dummy 1
relationship
Biological father
Biological mother
other
Parameter Estimates
Regression analysis output are shown as follows,
Analysis of Variance
Source
Model
Error
Corrected Total
Intercept
time
income
r1
×2
The researcher wants to fit a multiple regression model. Assume 5% level of significance.
Sum Sq
70
1971
2041
0
1
0
DE
4
159
163
r2 is the variable under r1
Mean Sq
17.5
12.40
Estimate Std. Error t value Pr (>|t|)
3.826098
2.151170 1.779
0.0772
-2.676970
1.056423 -2.534
0.0113
-0.004215
0.005963 -0.707
0.4806
1.092612
1.280399 0.853
0.3948
2.253141
1.151844 1.956 0.0522
.
R2-dummy 2
01510g (1
0
1
F value
1.40
Pr (>F)
0.2364
Transcribed Image Text:In Fragile Families and Child Wellbeing study, a researcher wants to evaluate whether primary caregiver relationship to youth and how much time youth lives with primary caregiver coupled with household income would affect number of days youth absent from school. The following variables are considered: zizaloqui a obnos of enslq sodrum od time: how much time youth lives with the primary caregiver. (1-less than half of the time, 0-most of the time)te all of income: primary caregiver household income (in the unit of thousand dollar) days: number of days youth absent from school. relationship: primary caregiver relationship to the youth RI-dummy 1 relationship Biological father Biological mother other Parameter Estimates Regression analysis output are shown as follows, Analysis of Variance Source Model Error Corrected Total Intercept time income r1 ×2 The researcher wants to fit a multiple regression model. Assume 5% level of significance. Sum Sq 70 1971 2041 0 1 0 DE 4 159 163 r2 is the variable under r1 Mean Sq 17.5 12.40 Estimate Std. Error t value Pr (>|t|) 3.826098 2.151170 1.779 0.0772 -2.676970 1.056423 -2.534 0.0113 -0.004215 0.005963 -0.707 0.4806 1.092612 1.280399 0.853 0.3948 2.253141 1.151844 1.956 0.0522 . R2-dummy 2 01510g (1 0 1 F value 1.40 Pr (>F) 0.2364
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