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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 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 The level of significance is 0.05. Based on the hypothesis tests for the individual regression coefficients, ________.   Multiple Choice   all the regression coefficients are not equal to zero   "Job" is the only significant variable in the model   only months of service and gender are significantly related to monthly salary   "Service" is the only significant variable in the model

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 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 The level of significance is 0.05. Based on the hypothesis tests for the individual regression coefficients, ________.   Multiple Choice   all the regression coefficients are not equal to zero   "Job" is the only significant variable in the model   only months of service and gender are significantly related to monthly salary   "Service" is the only significant variable in the model

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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 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


The level of significance is 0.05. Based on the hypothesis tests for the individual regression coefficients, ________.

 

Multiple Choice
  •  

    all the regression coefficients are not equal to zero

  •  

    "Job" is the only significant variable in the model

  •  

    only months of service and gender are significantly related to monthly salary

  •  

    "Service" is the only significant variable in the model

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