* Graphic: sterling and gilt yields http://bit.ly/2dgAXn1
* Graphic: World FX rates in 2017 http://tmsnrt.rs/2egbfVh
* Graphic: Trade-weighted sterling since Brexit vote http://tmsnrt.rs/2hwV9Hv (Updates prices, adds details)
LONDON, July 3 (Reuters) - Sterling fell back below $1.30 against a broadly weaker dollar on Monday, after poorer-than-expected data from Britain's manufacturing sector led investors to think twice about whether the Bank of England will raise interest rates this year.
The latest purchasing managers' index (PMI) showed British factory activity grew much more slowly than forecast in June, with export orders rising at the weakest pace in five months. Activity fell to 54.3 from a downwardly revised 56.3 in May - a three-month low and below all forecasts in a Reuters poll.
The data suggested that the supposed silver lining of the weakening of sterling caused by Britain's vote to leave the European Union - more competitive exports - is proving elusive.
With the dollar rising across the board, sterling fell to as low as $1.2932, down 0.7 percent on the day, before recovering a little ground to trade at $1.2945 by 1450 GMT. It had hit a six-week high of $1.3030 on Friday on bets that the BoE would hike interest rates in the coming months.
"UK manufacturing fell off the cliff and it clearly shows that the economy is not doing well at all," said Naeem Aslam, analyst at Think Markets.
"The weaker sterling is not helping the manufacturing sector because consumers have tightened their belts, and wage growth is awful. The focus will be on the services PMI data, which is due on Wednesday."
But sterling's losses were limited, with the currency holding its own in the crosses, especially against the Japanese yen and the euro.
Last week, the pound recorded its best weekly performance against the dollar in almost eight months, climbing almost 2.5 percent after BoE Governor Mark Carney said a rate rise was likely to be needed as the economy came closer to full capacity.
For the quarter, sterling's performance was its best in two years, benefiting from broad dollar weakness as U.S. economic data disappointed and as investors' hopes for pro-business, pro-growth policies from President Donald Trump faded.
Following Carney's comments - which were followed by similar remarks by the BoE's chief economist Andy Haldane - investors moved to price in around a 50-percent chance of a rate hike by the end of the year.
But not all analysts are convinced that the BoE will follow through with its hawkish rhetoric as Britain negotiates its way out of the European Union, particularly if data disappoints. And even if rates increase slightly, that will not necessarily spell the start of a steady policy tightening cycle, they say.
"Even if the post-Brexit 25-basis point rate cut is reversed, structural impediments are likely to keep UK interest rates anchored at historically low levels and this points to limited sterling upside from BoE policy," wrote ING currency strategist Viraj Patel in a note to clients.
Speculators had increased their bets against sterling in the week up to last Tuesday, before the BoE's latest comments. (Editing by Andrew Roche)