Analyzed log L_X vs. distributions for LONG-SNe divided into colors depending on the category described in Table 2. Category A: red points; B: orange; C: green; D: purple; and E: blue. The dark yellow point represents a low-redshift GRB, GRB 060505, for which the SN was not seen associated with GRB; see discussion in the text. The two solid lines represent the 1σ intrinsic scatter of the Dainotti relation, while the dashed line is the best-fit line computed with the D’Agostini method.