Yes, it is a F-15.
I read that the pilot made a huge professional mistake, he didn't try to escape with a high G manouever but ignited AB and followed his collission path with the missile. I don't know the type of the interceptor missile,
but if it was a RF guided pilot could have used his ECM suite and fire Chaff instead.
What type of AD missiles have the Houthis to engage a high flying modern jet ?