Universities Vs Annual Income

Model Definition

$y_{i} = β_{0} + β_{1} x_{1, i} + β_{2} x_{2, i} + ϵ_{i}$

$y = I n c o m e$ , $x_{1} = U n i v e r s i t y$ , and $ϵ_{i} \sim N (0, σ^{2})$ .

Model

stan_glm
 family:       gaussian [identity]
 formula:      pay ~ uni
 observations: 12476
 predictors:   14
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                    Median  MAD_SD 
(Intercept)         56098.2   835.6
uniCalifornia       -1330.8  1390.9
uniCheyney           -802.2  1956.5
uniClarion           1429.4  1371.4
uniEast Stroudsburg  2828.3  1387.0
uniEdinboro          1344.0  1324.1
uniIndiana           4376.4  1136.7
uniKutztown          2280.4  1236.6
uniLock Haven        3469.0  1495.2
uniMansfield        -1582.1  1572.7
uniMillersville     -2017.5  1264.7
uniShippensburg      3087.8  1257.2
uniSlippery Rock     3523.2  1297.5
uniWest Chester      -927.7  1093.2

Auxiliary parameter(s):
      Median  MAD_SD 
sigma 29497.1   190.5

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* For help interpreting the printed output see ?print.stanreg
* For info on the priors used see ?prior_summary.stanreg

Characteristic	Beta	95% CI¹
uni
Bloomsburg	—	—
California	-1,331	-3,956, 1,181
Cheyney	-802	-4,497, 2,945
Clarion	1,429	-1,365, 4,097
East Stroudsburg	2,828	171, 5,555
Edinboro	1,344	-1,272, 4,006
Indiana	4,376	2,035, 6,610
Kutztown	2,280	-356, 4,798
Lock Haven	3,469	453, 6,389
Mansfield	-1,582	-4,925, 1,515
Millersville	-2,017	-4,564, 498
Shippensburg	3,088	584, 5,586
Slippery Rock	3,523	977, 6,073
West Chester	-928	-3,154, 1,182
¹ CI = Credible Interval