Parameter estimates: Parameter e Estimate e std. Err. + Alternative. DF • T-Stat. P-value *O 131 2.7735131 =0 131 7.507004 <0.0001 =0 131 3.5386467 Intercept 17.966577 6.4779134 0.0064 Father 0.50354896 O.067077219 Mother 0.27714316 0.078318967 0.0006 Analysis of variance table for multiple regression model: Source DF MS F-stat P-value 2 320.94662 160.47331 37.637221 <0.0001 Model Error 131 558.54293 4.2636865 Total 133 879.48955 Summary of fit: Root MSE: 2.0648696 R-squared: 0.3649 R-squared (adjusted): 0.3552

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Interpreting a Computer Display. In Exercises 5–8, we want to consider the correlation between heights of fathers and mothers and the heights of their sons. Refer to the StatCrunch display and answer the given questions or identify the indicated items. The display is based on Data Set 5 “Family Heights” in Appendix B.

Height of Son  Identify the following:

a. The P-value corresponding to the overall significance of the multiple regression equation

b. The value of the multiple coefficient of determination R2

c.  The adjusted value of R2

Parameter estimates:
Parameter e Estimate e std. Err. +
Alternative. DF • T-Stat. P-value
*O 131 2.7735131
=0 131 7.507004 <0.0001
=0 131 3.5386467
Intercept
17.966577
6.4779134
0.0064
Father
0.50354896 O.067077219
Mother
0.27714316 0.078318967
0.0006
Analysis of variance table for multiple regression model:
Source DF
MS
F-stat P-value
2 320.94662 160.47331 37.637221 <0.0001
Model
Error
131 558.54293 4.2636865
Total
133 879.48955
Summary of fit:
Root MSE: 2.0648696
R-squared: 0.3649
R-squared (adjusted): 0.3552
Transcribed Image Text:Parameter estimates: Parameter e Estimate e std. Err. + Alternative. DF • T-Stat. P-value *O 131 2.7735131 =0 131 7.507004 <0.0001 =0 131 3.5386467 Intercept 17.966577 6.4779134 0.0064 Father 0.50354896 O.067077219 Mother 0.27714316 0.078318967 0.0006 Analysis of variance table for multiple regression model: Source DF MS F-stat P-value 2 320.94662 160.47331 37.637221 <0.0001 Model Error 131 558.54293 4.2636865 Total 133 879.48955 Summary of fit: Root MSE: 2.0648696 R-squared: 0.3649 R-squared (adjusted): 0.3552
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