Table 2: Parameters of least-squares fits of surface brightness vs. V-K or spectral type (see text and footnote on the title page).
(1) (2) (3) (4) (4) (5) (6) (7) (8) (9) (10)

Line Dep. Indep. Range of SpT a₀ a₁ a₂ a₃ a₄ a₅

Var. variable Ind.Var. from to

1 $S_{\rm K}$ V-K 0 - 8.5 A0 M8 2.739 0.39318 -0.024337 0.00150594

2 $S_{\rm I_{\rm c}}$ V-K 0 - 8.5 A0 M8 2.735 0.96065 -0.026441 -0.00455350 $5.36349\times 10^{-4}$

3 $S_{\rm R_{\rm c}}$ V-K 0 - 8.5 A0 M8 2.750 1.13296 -0.011563 -0.00020917

4 $S_{\rm V}$ V-K 0 - 8.5 A0 M8 2.777 1.33603 -0.006106

5 $S_{\rm K}$ X 58 - 21 A0 K7 9.523 -0.68789 0.032091 -0.00076551 $9.08518\times 10^{-6}$ $-4.31289\times 10^{-8}$

6 $S_{\rm K}$ X 21 - 13.5 K7 M6.5 17.175 -1.73019 0.078260 -0.00125491

7 $S_{\rm K}$ X 13.5 - 2 M6.5 L8 9.651 -0.88541 0.068535 -0.00211177

8 $S_{\rm I_{\rm c}}$ X 58 - 21 A0 K7 19.534 -1.49122 0.060071 -0.00124465 $1.29388\times 10^{-5}$ $-5.47581\times 10^{-8}$

9 $S_{\rm I_{\rm c}}$ X 21 - 14 K7 M6 36.892 -3.90214 0.164778 -0.00239313

10 $S_{\rm I_{\rm c}}$ X 14 - 6 M6 L4 14.311 -0.73014 0.061393 -0.00294611

11 $S_{\rm R_{\rm c}}$ X 58 - 21 A0 K7 37.781 -3.79580 0.178183 -0.00422544 $4.97703\times 10^{-5}$ $-2.33252\times 10^{-7}$

12 $S_{\rm R_{\rm c}}$ X 21 - 14 K7 M6 75.285 -9.65487 0.466505 -0.00777256

13 $S_{\rm R_{\rm c}}$ X 14 - 6 M6 L4 19.916 -1.83017 0.177753 -0.00690745

14 $S_{\rm V}$ X 58 - 21 A0 K7 58.160 -6.16978 0.288325 -0.00671549 $7.71455\times 10^{-5}$ $-3.50806\times 10^{-7}$

15 $S_{\rm V}$ X 21 - 14 K7 M6 94.817 -12.2938 0.592793 -0.00982453

16 F₇₅₀₀ X 48 - 37 A0 K1 -284.141 24.7680 -0.656394 0.00649903

17 F₇₅₀₀ X 36 - 16 K1 M4 60.251 -9.99437 0.513712 -0.00665634

18 F₇₅₀₀ X 16 - 9 M4+ M9.5 -21.130 6.27287 -0.620218 0.02054700

19 $F_{\rm TiO}$ X 21 - 15 K6 M4.5 -193.229 29.87220 -1.487030 0.02411810

20 $F_{\rm TiO}$ X 15 - 9 M4.5 M9.5 -1.977 0.99973 -0.140786 0.00610879

**Table 2:** Parameters of least-squares fits of surface brightness vs. V-K or spectral type (see text and footnote on the title page).
(1)	(2)	(3)	(4)	(4)	(5)	(6)	(7)	(8)	(9)	(10)
Line	Dep.	Indep.	Range of	SpT	a₀	a₁	a₂	a₃	a₄	a₅
	Var.	variable	Ind.Var.	from	to
1	$S_{\rm K}$	V-K	0	-	8.5	A0	M8	2.739	0.39318	-0.024337	0.00150594
2	$S_{\rm I_{\rm c}}$	V-K	0	-	8.5	A0	M8	2.735	0.96065	-0.026441	-0.00455350	$5.36349\times 10^{-4}$
3	$S_{\rm R_{\rm c}}$	V-K	0	-	8.5	A0	M8	2.750	1.13296	-0.011563	-0.00020917
4	$S_{\rm V}$	V-K	0	-	8.5	A0	M8	2.777	1.33603	-0.006106
5	$S_{\rm K}$	X	58	-	21	A0	K7	9.523	-0.68789	0.032091	-0.00076551	$9.08518\times 10^{-6}$	$-4.31289\times 10^{-8}$
6	$S_{\rm K}$	X	21	-	13.5	K7	M6.5	17.175	-1.73019	0.078260	-0.00125491
7	$S_{\rm K}$	X	13.5	-	2	M6.5	L8	9.651	-0.88541	0.068535	-0.00211177
8	$S_{\rm I_{\rm c}}$	X	58	-	21	A0	K7	19.534	-1.49122	0.060071	-0.00124465	$1.29388\times 10^{-5}$	$-5.47581\times 10^{-8}$
9	$S_{\rm I_{\rm c}}$	X	21	-	14	K7	M6	36.892	-3.90214	0.164778	-0.00239313
10	$S_{\rm I_{\rm c}}$	X	14	-	6	M6	L4	14.311	-0.73014	0.061393	-0.00294611
11	$S_{\rm R_{\rm c}}$	X	58	-	21	A0	K7	37.781	-3.79580	0.178183	-0.00422544	$4.97703\times 10^{-5}$	$-2.33252\times 10^{-7}$
12	$S_{\rm R_{\rm c}}$	X	21	-	14	K7	M6	75.285	-9.65487	0.466505	-0.00777256
13	$S_{\rm R_{\rm c}}$	X	14	-	6	M6	L4	19.916	-1.83017	0.177753	-0.00690745
14	$S_{\rm V}$	X	58	-	21	A0	K7	58.160	-6.16978	0.288325	-0.00671549	$7.71455\times 10^{-5}$	$-3.50806\times 10^{-7}$
15	$S_{\rm V}$	X	21	-	14	K7	M6	94.817	-12.2938	0.592793	-0.00982453
16	F₇₅₀₀	X	48	-	37	A0	K1	-284.141	24.7680	-0.656394	0.00649903
17	F₇₅₀₀	X	36	-	16	K1	M4	60.251	-9.99437	0.513712	-0.00665634
18	F₇₅₀₀	X	16	-	9	M4+	M9.5	-21.130	6.27287	-0.620218	0.02054700
19	$F_{\rm TiO}$	X	21	-	15	K6	M4.5	-193.229	29.87220	-1.487030	0.02411810
20	$F_{\rm TiO}$	X	15	-	9	M4.5	M9.5	-1.977	0.99973	-0.140786	0.00610879

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