Based on the ANOVA and a 0.05 significance level, the global null hypothesis test of the multiple regression model Multiple Choice will be rejected and conclude that monthly salary is related to at least one of the independent variables will show a high multiple coefficient of determination will be rejected and conclude that monthly salary is related to all of the independent variables will not be rejected

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Based on the ANOVA and a 0.05 significance level, the global null hypothesis test of the multiple regression model
Multiple Choice
will be rejected and conclude that monthly salary is related to at least one of the independent variables
will show a high multiple coefficient of determination
will be rejected and conclude that monthly salary is related to all of the independent variables
will not be rejected
Transcribed Image Text:Based on the ANOVA and a 0.05 significance level, the global null hypothesis test of the multiple regression model Multiple Choice will be rejected and conclude that monthly salary is related to at least one of the independent variables will show a high multiple coefficient of determination will be rejected and conclude that monthly salary is related to all of the independent variables will not be rejected
A manager at a local bank analyzed the relationship between monthly salary and three independent variables: Length of service
(measured in months), Gender (0 = female, 1 = male), and Job type (0 = clerical, 1 = technical). The following ANOVA summarizes the
%D
regression results.
ANOVA
Source of Variation
df
Sum of Squares
Mean Square
F
Regression
3
1,004,346.771
334,782.257
5.96
Residual
26
1,461,134.596
56,197.48445
Total
29
2,465,481.367
Coefficients
Standard Error
t-Stat
p-value
Intercept
784.92
322.25
2.44
0.02
Service
9.19
3.20
2.87
0.01
Gender
222.78
89.00
2.50
0.02
Job
-28.21
89.61
-0.31
0.76
Based on the ANOVA and a O.05 significance level, the global null hypothesis test of the multiple regression model
Transcribed Image Text:A manager at a local bank analyzed the relationship between monthly salary and three independent variables: Length of service (measured in months), Gender (0 = female, 1 = male), and Job type (0 = clerical, 1 = technical). The following ANOVA summarizes the %D regression results. ANOVA Source of Variation df Sum of Squares Mean Square F Regression 3 1,004,346.771 334,782.257 5.96 Residual 26 1,461,134.596 56,197.48445 Total 29 2,465,481.367 Coefficients Standard Error t-Stat p-value Intercept 784.92 322.25 2.44 0.02 Service 9.19 3.20 2.87 0.01 Gender 222.78 89.00 2.50 0.02 Job -28.21 89.61 -0.31 0.76 Based on the ANOVA and a O.05 significance level, the global null hypothesis test of the multiple regression model
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