Collocations for rating - noun

high, top
low, poor
overall
The overall performance rating puts the new model well ahead of its main rivals.

favourable/favorable, unfavourable/unfavorable (both esp. AmE)
He's currently enjoying a favourable/favorable rating with more than 50% of the electorate.

approval, favorability (AmE), opinion-poll, poll, popularity
He has the highest opinion-poll rating of any president this century.

performance
two-star, three-star, etc.
The hotel achieved a four-star rating.
The hospital has retained its top three-star rating. (BrE)

credit
Most countries try to preserve their international credit rating in order to secure necessary loans.

personal, subjective

have
assign (sb/sth), give (sb/sth)
achieve, earn, get, obtain, receive, score
The university scored a top rating among students.

preserve
improve
downgrade, lower (business)
Standard & Poor's lowered its credit rating for the company from A to BBB.

climb, improve, rise, rocket, soar
The president's ratings have suddenly rocketed.

drop, fall, plummet

scale, system

in a/the rating
a drop of 50 points in her personal rating

rating for
The resort got a low rating for children's facilities.

rating on
The judges gave her the maximum rating on style.

good, high
low, poor
audience, TV
prime-time (esp. AmE)
The network's prime-time ratings are up 150%.

garner (esp. AmE), get, have
The show continues to garner high ratings.
At this stage the series was getting good ratings.

boost
Bringing her on the show was a cynical attempt to boost the ratings.

go up, improve, pick up, shoot up, soar
The ratings went shooting up overnight.

dip, drop, fall, go down
The show's ratings have dipped sharply.

battle, war
success
His new sitcom was a ratings success.

in the ratings
It has been ousted from top spot in the TV ratings.