Question
Please answer the following question using the provided output: Test the significance of the regression slope 1 at the 5% level (use the critical value
Please answer the following question using the provided output:
Test the significance of the regression slope 1 at the 5% level (use the critical value approach) and interpret it's meaning (specify the units of the coefficient). Make sure to provide hypotheses, test statistic, critical value, decision with justification.
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 |
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