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Table 3.

Summary of regression analysis for X-ray luminosity vs. the richness scaling relation for the SCGF sample.

Sample Intercept α Slope β Intrinsic scatter σ N clusters
Full 100.843 ± 0.030 1.585 ± 0.055 0.631 ± 0.023 530
Gaussian 100.869 ± 0.035 1.562 ± 0.062 0.646 ± 0.025 432
Non-Gaussian 100.733 ± 0.064 1.683 ± 0.120 0.561 ± 0.048 98
Full λ ≥ 47.2 100.799 ± 0.072 1.645 ± 0.119 0.639 ± 0.030 298
Full λ < 47.2 100.879 ± 0.075 1.652 ± 0.159 0.629 ± 0.035 232
Gaussian λ ≥ 47.2 100.838 ± 0.079 1.605 ± 0.124 0.637 ± 0.034 245
Gaussian λ < 47.2 100.888 ± 0.090 1.595 ± 0.198 0.659 ± 0.040 187
Non-Gaussian λ ≥ 47.2 100.605 ± 0.176 1.878 ± 0.318 0.625 ± 0.072 53
Non-Gaussian λ < 47.2 100.827 ± 0.124 1.843 ± 0.271 0.491 ± 0.072 45
0.05 < αAD ≤ 0.15 100.588 ± 0.077 1.548 ± 0.133 0.593 ± 0.060 73
αAD > 0.15 100.826 ± 0.041 1.546 ± 0.070 0.653 ± 0.028 359
Δθ/R200c ≥ 0.3 100.660 ± 0.067 1.595 ± 0.139 0.694 ± 0.051 131
Δθ/R200c < 0.3 101.003 ± 0.032 1.483 ± 0.056 0.628 ± 0.023 399
z ≥ 0.3 101.348 ± 0.296 1.118 ± 0.293 0.306 ± 0.091 45
0.15 ≤ z < 0.3 101.117 ± 0.116 1.323 ± 0.201 0.489 ± 0.053 156
z < 0.15 100.760 ± 0.064 1.484 ± 0.139 0.704 ± 0.046 329
z ≥ 0.3, σv ≥ 650 [km s−1] 101.403 ± 0.309 1.086 ± 0.308 0.311 ± 0.101 40
0.15 ≤ z < 0.3, σv ≥ 650 [km s−1] 101.139 ± 0.166 1.341 ± 0.257 0.504 ± 0.064 106
z < 0.15, σv ≥ 650 [km s−1] 100.857 ± 0.120 1.419 ± 0.260 0.771 ± 0.084 121
Gaussian z ≥ 0.3, σv ≥ 650 [km s−1] 101.512 ± 0.324 1.019 ± 0.313 0.312 ± 0.109 34
Gaussian 0.15 ≤ z < 0.3, σv ≥ 650 [km s−1] 101.127 ± 0.174 1.356 ± 0.271 0.505 ± 0.071 88
Gaussian z < 0.15, σv ≥ 650 [km s−1] 100.921 ± 0.146 1.331 ± 0.316 0.808 ± 0.106 89

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