In the following statement, which change would make it correct: "The longer a wire is the higher its resistance, or the hotter a wire is the lower its resistance"?

The statement about the relationship between temperature and resistance in a wire is based on the principles of how materials conduct electricity. As temperature increases, the resistance of most conductive materials, like copper or aluminum, typically increases as well. This is due to the fact that higher temperatures cause atoms in the wire to vibrate more, which can impede the flow of electrons, thereby increasing resistance.

Thus, if you change "lower" to "higher," the statement would correctly convey that as a wire gets hotter, it indeed exhibits higher resistance. This aligns with the well-established principle that resistance in conductors generally increases with temperature, making this change necessary for the statement to be accurate.