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

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**Question:**

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:**Question:** 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 regression results.

### ANOVA Table

| 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    |                 |     |

### Regression Coefficients

| 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 0.05 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 regression results. ### ANOVA Table | 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 | | | ### Regression Coefficients | 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 0.05 significance level, the global null hypothesis test of the multiple regression model ________.
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