“Correlate with” vs. “correspond to”

“Correlate” is correctly used with the preposition “with.” Correspond should be used with the preposition “to,” unless one intends the specific meaning of exchanging communications with someone—”corresponding with” someone.

Examples: The rise in gasoline prices correlates with the anticipation of increased road travel during the Labor Day holiday weekend.

The rise in the water level corresponds to the recent increase in rainfall.

Wilma has been corresponding with Fred by e-mail.