I dislike the term.... but there are two 'rules of thumb' when buying a prime rib roast. First is one pound per person, and this works better for a boneless roast. The second is each bone will feed two people, so a 4-bone roast should feed eight people.
Other thoughts are, how many guests prefer an end cut, or do all guests prefer a middle cut? Are some guests big eaters? Do you want leftovers for sandwiches etc.?
I'm a fan of cooking a prime rib low-n-slow, for less shrinkage and very even doneness from end-to-end and across each slice. Here is a database of cook times which have been averaged from a considerable number of cooks. Tip #1: Do not go on time only, let temperature be your guide. Tip #2: have a warmed cast iron skillet on stand-by so you can brown a slice if anyone thinks their cut looks too rare. 20 seconds on each side, and plate the 'darker' side up to sort of fool the brain into thinking it's more done. If you put a little AuJus on the plate it will hide any red color the juice.
Using the 220°-250°pit temps, and a smaller boneless roast, you can expect a 5° to 8° rise in the internal temperature stated below while the roast is resting on the cutting board.. A larger bone-in roast might rise 8° to 12°. All the temperatures reported below are when the roast is still in the cooker, so take into account the rise.
4 pound roast - 220°-228° pit temp - 2 hours to reach 125°
5-1/2 pound roast - 230° pit temp - 3 hours to reach 125°
5-3/4 pound roast - 245° average pit temp - 3 hours 45 minutes to reach 127°
6-3/4 pound bone-in roast - 250° pit temp - 4 hours to reach 125°
7 pound roast - 250° pit temp - 3 hours 40 minutes to reach 123°
7 pound roast - 220°-228° pit temp - 3 hours 30 minutes to reach 125°
7.9 pound roast - 230° pit temp (dome temp) - 4 hours 5 minutes to reach 125°
8 pound roast - 250° - 275° pit temp - 4 hours to reach 122°
10 pound roast - 220°-228° pit temp - 3 hours to reach 120°
11 pound roast (4 bones) - 215° average pit temp - 4 hours 54 minutes to reach 125°
14 pound roast - 220°-250° pit temp - 4 hours 30 minutes to reach 125°
15 pound roast - 220°-250° pit temp - 4 hrs 50 min to reach 127°
19.5 pound roast (prime grade) - 240° pit temp (dome temp) - 4 hours 25 minutes to reach 124°