Can weight of a vehicle significantly predict fuel economy? How can you tell? (Include statistic and level of significance/p value)
Write an APA statement with the findings from this regression analysis.
Regression Statistics | ||||||||
Multiple R | 0.045643559 | |||||||
R Square | 0.002083334 | |||||||
Adjusted R Square | -0.05335648 | |||||||
Standard Error | 10.03995374 | |||||||
Observations | 20 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 1 | 3.78791868 | 3.78791868 | 0.037578 | 0.848463 | |||
Residual | 18 | 1814.41208 | 100.800671 | |||||
Total | 19 | 1818.2 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 26.54024804 | 6.39004022 | 4.15337731 | 0.000597 | 13.11527 | 39.96522 | 13.11527 | 39.96522 |
weight | 0.000557908 | 0.00287802 | 0.19385125 | 0.848463 | -0.00549 | 0.006604 | -0.00549 | 0.006604 |
For the given table of coefficients, we can see for the independent variable Weight here the p-value as 0.8485 which is very high, therefore the variable is not significant here in explaining the variation in the dependent variable fuel economy.
Also, the 95% confidence interval given for weight contains 0, which means that the independent variable weight is not a significant variable in regression here.
Therefore the final conclusion here is that we are 95% confident that the independent variable weight is not significant in explaining the variation in the dependent variable fuel economy.
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