Present the regression output below noting the coefficients, assessing the adequacy of the model and the...

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Statistics

Present the regression output below noting the coefficients,assessing the adequacy of the model and the p-value of the modeland the coefficients individually.
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.2967345
RSquare 0.088051364
Adjusted R Square 0.08408637
Standard Error 11.78856107
Observations 694
ANOVA
df SS MS F Significance F
Regression 3 9258.409674 3086.136558 22.2071867 9.78014E-14
Residual 690 95889.41876 138.9701721
Total 693 105147.8284
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 34.16092365 1.25201462 27.28476417 9.3282E-112 31.70270814 36.61913917 31.70270814 36.61913917
Gender -1.678153204 0.901104822 -1.862328514 0.062981635 -3.447389615 0.091083208 -3.447389615 0.091083208
Degree Type 6.287128629 0.986047771 6.376089285 3.32555E-10 4.351114551 8.223142706 4.351114551 8.223142706
Country -7.938281572 1.289098801 -6.158008651 1.25044E-09 -10.46930846 -5.407254679 -10.46930846 -5.407254679

Answer & Explanation Solved by verified expert

4.3 Ratings (767 Votes)

First of all we test whether the Regression mode is overall significant or not Null hypothesis Ho Overall regression is not significant Alternative hypothesis H1 Overall regression is significant We consider the Significance F value from ANOVA which is the Pvalue Pvalue for the model 978014E14 See Answer

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SUMMARY OUTPUT

Regression Statistics
Multiple R	0.2967345
RSquare	0.088051364
Adjusted R Square	0.08408637
Standard Error	11.78856107
Observations	694

ANOVA
	df	SS	MS	F	Significance F
Regression	3	9258.409674	3086.136558	22.2071867	9.78014E-14
Residual	690	95889.41876	138.9701721
Total	693	105147.8284

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	34.16092365	1.25201462	27.28476417	9.3282E-112	31.70270814	36.61913917	31.70270814	36.61913917
Gender	-1.678153204	0.901104822	-1.862328514	0.062981635	-3.447389615	0.091083208	-3.447389615	0.091083208
Degree Type	6.287128629	0.986047771	6.376089285	3.32555E-10	4.351114551	8.223142706	4.351114551	8.223142706
Country	-7.938281572	1.289098801	-6.158008651	1.25044E-09	-10.46930846	-5.407254679	-10.46930846	-5.407254679