Question

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

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.