Linear Regression on new data

Previously we did a linear regression with two variables on data from SNAP, and found the problems due to considering only papers with primary tag in HepTh. So, we crawled arxiv and obtained new data and performed linear regression on the new data. The following are the results :

Using Gross Pay : (limiting years since PhD to <= 40)

R^2 : 0.34126	Estimate	p-value
Constant	84184.6	2.56162*10^-8
Years Since PhD	2094.61	0.000113447
Citation Count	7.47883	0.0138856

R^2 : 0.323274	Estimate	p-value
Constant	89390.7	3.70218*10^-9
Years Since PhD	1955.36	0.000356706
Page Rank	6.57888*10^6	0.0284647

  
Using Base Pay : (limiting years since PhD to <= 40)

R^2 :0.605081	Estimate	p-value
Constant	57158.9	1.61337*10^-9
Years Since PhD	2427.95	2.17864*10^-10
Citation Count	4.74429	0.0103403

 

R^2 :0.598601	Estimate	p-value
Constant	60317.7	1.94649*10^-10
Years Since PhD	2334.74	9.65709*10^-10
Page Rank	4.39694*10^6	0.0158609