An advisor in the university would like to motivate her students to study hard and graduate with a high GPA - to stress the importance of GPA, she is wondering if she can show data on the relationship of a graduate's starting salary and the student's GPA. She has data on 100 recent graduates. Variables are: GPA, Engineering=1 (if engineering major, 0 otherwise), Business=1 (if business major, 0 otherwise) and Liberal Arts=1 (if liberal arts major, 0 otherwise). The result of the analysis of the data is presented below:

Multiple R	0.911820707
R Square	0.831417001
Adjusted R Square	0.82431877
Standard Error	1145.057951
Observations	100

	df	SS	MS	F	Significance F
Regression	4	614304456.1	153576114	117.1302	7.604E-36
Residual	95	124559982.6	1311157.7	No data	No data
Total	99	738864438.8	No data	No data	No data

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	43244.90794	733.5203076	58.955297	1.27E-76	41788.686	44701.12987
GPA	1142.314932	239.8636456	4.7623512	6.85E-06	666.12539	1618.504475
Engineering	2830.256883	398.3591216	7.1047874	2.2E-10	2039.414	3621.099729
Business	1304.709995	411.1126276	3.1736072	0.002029	488.54824	2120.871752
Liberal Arts	-2321.800796	344.4477666	-6.740647	1.22E-09	-3005.6161	-1637.986622

Based on this analysis, what percentage of variations in the starting salary can be explained by the model?

What is the difference in starting salary of an engineering major and business major with the same GPA?

Based on this output, what is the point prediction starting salary of a liberal arts major with a GPA of 3.5?