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The phrase "optimistic estimate" is correct and commonly used in written English.
It is typically used to refer to a prediction or approximation that is positive or hopeful, but may not necessarily be the most realistic or accurate. Example: The company's CEO provided an optimistic estimate for next quarter's profits, but some analysts remain skeptical due to current market conditions.
Exact(60)
Of course, this is an optimistic estimate.
It carries an optimistic estimate: $25 million to $35 million.
But two weeks was an optimistic estimate, and Sehorn did not progress as quickly as hoped.
"It's a less optimistic estimate today," says Harry Ballantyne, who was chief actuary until 2001.
An optimistic estimate of the current cost is put at $10bn per person.
The most optimistic estimate is that Puerto Rico faces a two-year economic recovery.
The most optimistic estimate for the launch of such a mission is around 2040.
Their optimistic estimate: better care and more than $200 billion saved over 10 years.
"Looks like 20% substance was an extremely optimistic estimate," Mr. Reed wrote Ms. Kagan.
One optimistic estimate is that half the world's people might speak English by 2050.
Iraq's economy is growing, but even the most optimistic estimate puts unemployment at 15 percent.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com