Point in 77 ADJECTIVES/superlatives is defined as:
‘the slightest’, ‘the faintest’ with a specific range of nouns to express the least amount possible, most frequently following a negative verb form.
Who knows what EGP think ‘a specific range of nouns’ is since a search on the site shows no other results, so here we look at an iWeb search for:
the slightest|faintest _N
1 THE SLIGHTEST BIT 4656 (however, ‘bit’ is modifying the adjective. As in ‘I am a bit interested.’)
*top 10 collocates
1 EVEN 1200
2 INTERESTED 184
3 WITHOUT 180
4 FEEL 179
5 DIFFERENCE 92
6 ATTENTION 82
7 SENSE 61
8 INTEREST 57
9 SURPRISED 51
10 CONCERNED 49
2 THE SLIGHTEST HINT 2244
3 THE SLIGHTEST IDEA 1663
4 THE FAINTEST IDEA 985
5 THE SLIGHTEST TOUCH 954
6 THE SLIGHTEST MOVEMENT 847
7 THE SLIGHTEST CHANCE 834
8 THE SLIGHTEST CLUE 831
9 THE SLIGHTEST DOUBT 794
10 THE SLIGHTEST INTEREST 712
11 THE SLIGHTEST AMOUNT 709
12 THE SLIGHTEST PROVOCATION 699
13 THE SLIGHTEST CHANGE 608
14 THE SLIGHTEST DEGREE 608
15 THE SLIGHTEST BREEZE 589
16 THE SLIGHTEST SIGN 549
17 THE SLIGHTEST THING 504
18 THE SLIGHTEST DIFFERENCE 434
19 THE SLIGHTEST TRACE 404
20 THE SLIGHTEST MISTAKE 319
21 THE FAINTEST HINT 289
22 THE SLIGHTEST HESITATION 284
23 THE SLIGHTEST PRESSURE 280
24 THE SLIGHTEST SOUND 256
25 THE SLIGHTEST WAY 247
26 THE SLIGHTEST ATTENTION 244
27 THE SLIGHTEST INDICATION 244
28 THE SLIGHTEST NOISE 239
29 THE SLIGHTEST INKLING 238
30 THE SLIGHTEST SUSPICION 237
31 THE SLIGHTEST POSSIBILITY 236
32 THE SLIGHTEST REASON 226
33 THE FAINTEST CLUE 225
34 THE SLIGHTEST EFFORT 214
35 THE SLIGHTEST PROBLEM 209
36 THE SLIGHTEST EVIDENCE 196
37 THE SLIGHTEST BUMP 194
38 THE SLIGHTEST ERROR 189
39 THE SLIGHTEST SENSE 172
40 THE SLIGHTEST INTENTION 167
41 THE SLIGHTEST CHANGES 165
42 THE SLIGHTEST WHIFF 163
43 THE SLIGHTEST SUGGESTION 147
44 THE SLIGHTEST ATTEMPT 144
45 THE SLIGHTEST KNOWLEDGE 144
46 THE SLIGHTEST THOUGHT 142
47 THE SLIGHTEST CONCERN 140
48 THE SLIGHTEST DEVIATION 133
49 THE SLIGHTEST NOTION 132
50 THE SLIGHTEST DISTURBANCE 130
51 THE SLIGHTEST OPPORTUNITY 130
52 THE SLIGHTEST EFFECT 121
53 THE SLIGHTEST HOPE 120
54 THE SLIGHTEST DESIRE 118
55 THE SLIGHTEST SIGNS 110
56 THE SLIGHTEST CONTACT 106
57 THE SLIGHTEST DETAIL 106
58 THE SLIGHTEST MENTION 106
59 THE SLIGHTEST CRITICISM 105
60 THE SLIGHTEST DIFFICULTY 105
61 THE SLIGHTEST RISK 103
62 THE FAINTEST WHIFF 101
63 THE SLIGHTEST VARIATION 98
64 THE SLIGHTEST INCLINATION 97
65 THE FAINTEST TRACE 95
66 THE SLIGHTEST UNDERSTANDING 92
67 THE SLIGHTEST RESEMBLANCE 90
68 THE SLIGHTEST EXCUSE 89
69 THE SLIGHTEST FEELING 88
70 THE SLIGHTEST IMPACT 88
71 THE SLIGHTEST MOVEMENTS 87
72 THE SLIGHTEST MOVE 83
73 THE SLIGHTEST RESISTANCE 79
74 THE SLIGHTEST FEAR 78
75 THE SLIGHTEST MOTION 78
76 THE SLIGHTEST SHRED 78
77 THE SLIGHTEST CONSIDERATION 77
78 THE FAINTEST GLIMMER 76
79 THE SLIGHTEST REGARD 75
80 THE SLIGHTEST THINGS 75
81 THE SLIGHTEST DELAY 74
82 THE SLIGHTEST PRETEXT 73
83 THE SLIGHTEST THREAT 73
84 THE SLIGHTEST TWINGE 72
85 THE SLIGHTEST QUESTION 71
86 THE SLIGHTEST USE 71
87 THE SLIGHTEST INFRACTION 70
88 THE SLIGHTEST DANGER 68
89 THE FAINTEST STARS 67
90 THE SLIGHTEST CONNECTION 67
91 THE SLIGHTEST EDGE 67
92 THE SLIGHTEST TINGE 67
93 THE SLIGHTEST ADVANTAGE 66
94 THE SLIGHTEST GLIMPSE 66
95 THE SLIGHTEST NOTICE 66
96 THE SLIGHTEST VIBRATION 65
97 THE SLIGHTEST INCREASE 64
98 THE SLIGHTEST SPARK 64
99 THE SLIGHTEST WIND 64
100 THE FAINTEST STAR 63
Here’s another page with similar information about this grammar point.