BOSTON — Traditional numbers suggest that the first three weeks of Roman Anthony’s highly anticipated big league career have not gone well. Entering Saturday, he was hitting just .128 (6-for-47) with a .548 OPS.

Yet Anthony, ever-committed to the process of putting together good at-bats, has remained unfazed. That he’s hitting the ball hard — Statcast reveals he ranks among the game’s best in a short sample size with a 15.6% barrel percentage and a 92.7 mph average exit velocity — is reassuring. So is the fact his advanced plate approach has led to 15 walks — and a low chase rate of 19.6% — so far. There isn’t one member of the Red Sox organization who didn’t believe Anthony’s results were about to catch up.

They did, Saturday, as the rookie had his first multi-hit game in the majors, tallying two doubles and a single in a 15-1 Red Sox win over Toronto. That Anthony was rewarded with a double on a ball he hit just 77.7 mph — and later hit another two-bagger off a position player, Tyler Heineman — suggested that his luck is about to turn. In the eyes of the Red Sox, it was about time.

“He has been outstanding,“ said manager Alex Cora. ”The at-bats have been great. He’s gonna cash in at one point and he’s gonna keep hitting the ball hard because he dominates the strike zone.”

Anthony, hitting second for the third time in the majors, grounded out in the first, then laced an 108 mph single off starter Chris Bassitt in the second. He scored his second run of the game after a fielder’s choice in the third, then doubled off reliever Paxton Schultz in the fifth. His day ended with a 107.2 mph ground-rule double on a slow slider from Heineman; in all, Anthony was 3-for-6.

“It’s always nice when they fall,” Anthony said. “I think just the energy itself today, when we got here today, and as a team all day was great. That translated onto the field. It’s super contagious.”

Anthony’s demeanor in the clubhouse after the game, though, wasn’t one of a young player who had broken out. It was the same attitude Anthony has shown during his rise to prospect stardom — and so far in the majors — of being unwaveringly calm.

“He’s probably one of the most mature 21-year-old pro baseball players I’ve ever played with,” said starter Lucas Giolito. “Really good head on his shoulders, very even-keeled. I know up to this point he hasn’t been getting those counting stat results that he’s wanted. But he has been showing a ton of promise, really good at-bats. It’s good to see him do that today.”

Anthony credited hitting coach Pete Fatse and his staff for his good game Saturday, mentioning that the coaches’ constant reminders about a consistent approach have paid dividends so far. He also cited an ability to unplug from the game and focus on hitting while serving as the designated hitter (which he did for the fourth time Saturday) as a factor.

“Sitting there with guys like Fatse and working in the cage when I’m not up and talking to guys like Breg (Alex Bregman) and our hitters, it’s contagious,” Anthony said. “I try to take full advantage of that position. When I’m the DH, I’m just trying to learn as much as I can about all the guys we could possibly face and gather as much info as I can.”

For Anthony — the youngest player on the club — the learning curve should be steep. But by staying measured through high highs and low lows, he has fit in seamlessly so far. Cora said he wants to keep hitting Anthony at the top of Boston’s order — and didn’t rule out the possibility of some leadoff at-bats in place of the scuffling Jarren Duran. The Red Sox feel like Anthony is ready for any challenge.

”He doesn’t get caught up on the homer in Seattle or the double here for his first base hit,“ Cora said. ”He’s very consistent. That’s why he’s gonna be really, really good.”