If you're talking about the google keyword tool - then no you cannot go by the local search volume for the phrases that are returned and do not match the original "phrase" search enquiry. Goes against the point of having a keyword tool in the first place.
Yes your phrase "easy dog collar training" was searched for 450 times. Even though you typed in "dallas dog collar training". Google keyword tool returns results SIMILAR to the phrase you queried. These similar results search volumes are not for the original phrase you typed in. If "dallas dog collar training" returned no search volume then there is no search volume (or too little for google to make any accurate sum)