When you look up a word in the dictionary, you will find its literal (denotative/literal) meaning. However, the emotions and associations connected to a word is known as its connotative<span> meaning. Depending on our experiences, certain words have a positive, negative, or neutral connotation.</span>
No it is not. It is an adverb phrase since it lacks a subordinating conjunction.
Adverb clauses must be preceded or started by a subordinating conjunction such as after, if, because or although. For a sentence to qualify as an adverb clause it must include in its body a subject and a verb.
As a general rule you can use the following formula:
An adverb clause equals a subordinate conjunction plus a subject plus a verb, and it should be answering how? when? where? or why?
Juan ran down the driveway so that he would not be late for the bus. The arrow pointing to the right would be more probable than an arrow pointing to the left since the road (in normal circumstances) have the right lane going forward while the left lane is in the opposite direction.