Based on the Descriptive Statistcs table below,  1. Use this formula to calculate Adjusted R2 = 1.0 – (Residual MS/Total MS) 2.  What is the intercept coefficient value (b0)? 3. What is the slope coefficient value (b1| in the ANOVA Table and what         does this value mean? 4. Modify the generic wording below to explain the Coefficient of Determination: Positive Coefficient (Direct Relationship) The regression coefficient (XX), or the slope of the linear regression equation, indicates a XX (unit)increase (decrease) in the independent variable (X) is associated with a XX (unit) increase (decrease) in the dependent variable (Y).

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 12E
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Based on the Descriptive Statistcs table below, 

1. Use this formula to calculate Adjusted R2 = 1.0 – (Residual MS/Total MS)

2.  What is the intercept coefficient value (b0)?
3. What is the slope coefficient value (b1| in the ANOVA Table and what         does this value mean?

4. Modify the generic wording below to explain the Coefficient of Determination:

Positive Coefficient (Direct Relationship)

The regression coefficient (XX), or the slope of the linear regression equation, indicates a XX (unit)increase (decrease) in the independent variable (X) is associated with a XX (unit) increase (decrease) in the dependent variable (Y).


                                                                               

SUMMARY OUTPUT
Regression Statistics
Multiple R
0.751621004
R Square
Adjusted R Square
0.564934133
0.559875228
Standard Error
1752.277825
Observations
88
ANOVA
df
MS
Significance F
Regression
1
342883972.2 342883972.2 111.6712185
3.24767E-17
Residual
86
264061071.4 3070477.574
Total
87
606945043.6
Coefficients Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
Total Population by County (X) I 0.011032293
154.7098341
224.4038798 0.689425844 0.492411362
-291.3903145 600.8099827
-291.3903145 600.8099827
0.001043987 10.56746036
3.24767E-17
0.008956916 0.013107671
0.008956916 0.013107671
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R 0.751621004 R Square Adjusted R Square 0.564934133 0.559875228 Standard Error 1752.277825 Observations 88 ANOVA df MS Significance F Regression 1 342883972.2 342883972.2 111.6712185 3.24767E-17 Residual 86 264061071.4 3070477.574 Total 87 606945043.6 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept Total Population by County (X) I 0.011032293 154.7098341 224.4038798 0.689425844 0.492411362 -291.3903145 600.8099827 -291.3903145 600.8099827 0.001043987 10.56746036 3.24767E-17 0.008956916 0.013107671 0.008956916 0.013107671
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