Question
Please answer the following question with the provided output: Write the observed regression equation FOR MODEL 2 that predicts wages from length of service. How
Please answer the following question with the provided output:
Write the observed regression equation FOR MODEL 2 that predicts wages from length of service. How does this new model compare with the observed regression equation FOR MODEL 1?
MODEL 2 OUTPUT:
Simple linear regression results: Dependent Variable: Wages Independent Variable: LOS Wages = 43.898554 + 0.059247663 LOS Sample size: 58 R (correlation coefficient) = 0.30409097 R-sq = 0.092471321 Estimate of error standard deviation: 9.6517109 Parameter estimates:
Parameter | Estimate | Std. Err. | Alternative | DF | T-Stat | P-value |
---|---|---|---|---|---|---|
Intercept | 43.898554 | 2.1319695 | 0 | 56 | 20.590611 | <0.0001 |
Slope | 0.059247663 | 0.02480298 | 0 | 56 | 2.3887317 | 0.0203 |
Analysis of variance table for regression model:
Source | DF | SS | MS | F-stat | P-value |
---|---|---|---|---|---|
Model | 1 | 531.54904 | 531.54904 | 5.7060389 | 0.0203 |
Error | 56 | 5216.7093 | 93.155523 | ||
Total | 57 | 5748.2583 |
MODEL 1 OUTPUT:
Simple linear regression results: Dependent Variable: Wages Independent Variable: LOS Wages = 44.212809 + 0.073099473 LOS Sample size: 60 R (correlation coefficient) = 0.30335165 R-sq = 0.092022221 Estimate of error standard deviation: 11.979078 Parameter estimates:
Parameter | Estimate | Std. Err. | Alternative | DF | T-Stat | P-value |
---|---|---|---|---|---|---|
Intercept | 44.212809 | 2.6282425 | 0 | 58 | 16.822195 | <0.0001 |
Slope | 0.073099473 | 0.030150291 | 0 | 58 | 2.4245031 | 0.0185 |
Analysis of variance table for regression model:
Source | DF | SS | MS | F-stat | P-value |
---|---|---|---|---|---|
Model | 1 | 843.51399 | 843.51399 | 5.8782152 | 0.0185 |
Error | 58 | 8322.9024 | 143.49832 | ||
Total | 59 | 9166.4164 |
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