The phrase "a relatively modest influence" is correct and usable in written English.
It can be used to describe an influence that is not very strong or significant compared to others.
Example: "The study found that the new policy had a relatively modest influence on employee productivity."
Alternatives: "a somewhat limited impact" or "a fairly minor effect".
First, US diplomats have relatively modest influence over US resources—how many are produced and where they are sold which, at the end of the day, is decided by market participants, based on price signals, and subject to a wide array of government regulations, none of which are tied directly to diplomacy.
Mr. Keene declined to say how much money the coalition hoped to raise for a media campaign, but he suggested that it would be a relatively modest effort intended mainly to influence legislators.
Our results show that a relatively modest level of male-biased gene expression has a major influence on the rate of adaptive evolution of protein sequence, regardless of chromosomal location.
As a result, deep-pocketed political patrons and special interests have a greater ability to influence the outcome of individual races with a relatively modest investment of funds.
"Even a relatively modest benefit with respect to overall cancer mortality could still meaningfully influence the balances of risk and benefits of prophylactic aspirin use," the authors write in the Journal of the National Cancer Institute.
The house, in Kensington, west London, was a semi-public display of the life, work and influences of the artist, who lived in a relatively modest bedroom, the only one in the house outside the servants' quarters.
34 The HiP grant represented an attempt to influence behaviour appropriate and timely receipt of antenatal care advice by means of a relatively modest, universally applied cash transfer.
Northwest and US Airways levy a relatively modest $50 fee.
