Question

Can weight of a vehicle significantly predict fuel economy? How can you tell? (Include statistic and...

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

Homework Answers

Answer #1

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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