Table 8.
Linear regression fits to luminosities and ratios plotted in Figs. 3–11.
| y | x | a | b | rms | sfcc | Reference |
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| L(CO) | L(HCO+) | 1.03 | −1.60 | 0.21 | 0.95 | Figure 3 |
| L(CO) | L(HCN) | 0.99 | −1.16 | 0.25 | 0.92 | |
| L(CO) | L(HNC) | 1.02 | −1.83 | 0.29 | 0.94 | |
| L(FIR) | L(HCN) | 0.90 | −2.26 | 0.28 | 0.92 | |
| L(FIR) | L(CO) | 0.88 | −0.72 | 0.25 | 0.93 | |
| L(HCN) | L(HCO+) | 1.01 | −0.11 | 0.18 | 0.97 | |
| L(HNC) | L(HCN) | 0.95 | 0.71 | 0.15 | 0.98 | |
| L(HNC) | I(HCN) | 1.97 | 0.43 | 1.87 | 0.91 | |
| L(HCN) | I(HCO+) | 0.86 | 0.15 | 2.24 | 0.88 | |
| D2 | L(HCN) | 0.71 | 5.23 | 0.34 | 0.91 | |
| D2 | I(HCN) | −0.29 | 1.28 | 0.34 | −0.61 | |
| L(HCN) | I(HCN) | −0.14 | 1.39 | 0.43 | −0.27 | |
| L(CO) | L(HCN)/L(CO) | −0.02 | −1.08 | 0.25 | −0.06 | Figure 4 |
| L(HCN) | L(HCN)/L(CO) | 0.09 | −1.92 | 0.24 | 0.27 | |
| L(FIR) | L(HCN)/L(CO) | 0.02 | −1.54 | 0.25 | 0.06 | |
| L(FIR) | L(FIR)/L(CO) | 0.13 | 0.72 | 0.25 | 0.39 | |
| L(HCN)/L(CO) | L(FIR)/L(CO) | 0.43 | 2.63 | 0.25 | 0.38 | |
| L(FIR)/L(CO) | L(FIR)/L(HCN) | 0.64 | 2.03 | 0.23 | 0.53 | |
| L(CO) | L(HCN)/L(HCO+) | −0.05 | 0.48 | 0.17 | −0.22 | Figure 5 |
| L(HCN)/L(CO) | L(HCO+)/L(CO) | 0.59 | −0.51 | 0.15 | 0.69 | |
| L(HCO+)/L(CO) | L(HCN)/L(CO) | −0.14 | −0.15 | 0.18 | −0.17 | |
| L(FIR)/L(CO) | L(HCN)/L(HCO+) | −0.00 | 0.04 | 0.18 | −0.01 | |
| L(CO) | 12CO/13CO | 0.12 | 0.08 | 0.14 | 0.58 | Figure 6 |
| 12CO/13CO | L(HCN)/L(CO) | −0.29 | −0.98 | 0.25 | −0.12 | |
| 12CO/13CO | L(FIR)/L(CO) | 0.18 | 1.85 | 0.25 | 0.15 | |
| 12CO/13CO | L(HCN)/L(HCO+) | −0.55 | 0.66 | 0.15 | −0.43 | |
| 12CO/13CO | L(HCN)/L(HNC) | 0.06 | 2.26 | 0.87 | −0.07 | Figure 7 |
| L(FIR) | L(HCN)/L(HNC) | −0.08 | 3.20 | 0.87 | −0.14 | |
| L(CO) | L(HNC)/L(HCO+) | −0.06 | 2.82 | 0.87 | −0.13 | |
| L(HNC)/L(CO) | L(HCN)/L(HNC) | −0.26 | 0.08 | 0.14 | −0.47 | |
| L(HNC)/L(HCN) | L(HCO+)/L(HCN) | −0.05 | −0.06 | 0.17 | −0.02 | |
| L(HNC)/L(HCO+ | L(HCO+)/L(HCN) | −0.54 | −0.20 | 0.12 | −0.74 | |
| L(HNC)/L(HCO+ | L(HNC)/L(HCN) | 0.46 | −0.20 | 0.12 | 0.66 | |
| L(CO) | HCO+(3−2)/(1−0) | 0.12 | −1.37 | 0.25 | 0.32 | Figure 8 |
| L(CO) | HCN(2−1)/(1−0) | 0.21 | −2.08 | 0.18 | 0.64 | |
| L(CO) | HCN(3−2)/(1−0) | 0.17 | −1.81 | 0.21 | 0.46 | |
| L(CO) | HCN(4−3)/(1−0) | 0.23 | −2.61 | 0.25 | 0.47 | |
| HCN(3−2)/(1−0) | HCO+(3−2)/(1−0) | 0.57 | −0.14 | 0.17 | 0.68 | Figure 9 |
| HCN(4−3)/(3−2) | HCO+(4−3)/(3−2) | 0.70 | 0.03 | 0.11 | 0.70 | |
| L(CO) | J = 3 − 2 HCO+/HCN | 0.14 | −0.15 | 0.24 | 0.17 | |
| L(CO) | J = 4 − 3 HCO+/HCN | 0.08 | −0.68 | 0.32 | 0.13 | |
| 12CO/13CO | HCN(3−2)/(1−0) | 0.32 | −0.71 | 0.23 | 0.16 | Figure 10 |
| L(FIR)/L(CO) | HCN(3−2)/1−0) | −0.34 | 0.33 | 0.22 | −0.38 | |
| L(HCN) | HNC(3−2)/(1−0) | 0.07 | −1.02 | 0.24 | 0.18 | Figure 11 |
| HCN(3−2)/(1−0) | HCN/HNC(1−0) | −0.16 | 0.30 | 0.15 | −0.18 |
Notes. a. The regression fits are of the form log(y)=alog(x)+b. Columns 1 and 2 identify the data used in the fit. Columns 3 and 4 list the slope a and y-axis intercept of the fitted relation. Column 5 lists the rms residuals of the fit; the observed dispersion exceeds the observational error, and the physical range of the y-parameter is about four times the quoted rms. Column 6 gives the Spearman correlation coefficient of the fit, ranging from −1.00 (perfect anti-correlation) to 1.00 (perfect correlation). Coefficients in the range −0.35 to +0.35 should be interpreted as indicating a lack of correlation, especially when slope a is also close to zero.
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