Sentence 1: As a result, the construction activities would normally be in different locations at the plant, reducing the interference between the two projects.

Sentence 2: The construction activities, as a result, would normally be in different locations at the plant, reducing the interference between the two projects.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: I am sorry that the writer didn't get a call back, but there still could be an opportunity there.

Sentence 2: They wanted to make up for the error.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: There was no word on what they ate.

Sentence 2: They did not know the name of the food they ate.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell