Problem bank

Problem 232 of 333MediumStatisticsP232

Individually insignificant, jointly significant

  1. You regress daily returns on two signals whose sample correlation is 0.95. The tt-statistics on the two coefficients are 1.1 and 0.9, but the FF-test that both coefficients are zero has a p-value below 0.0001. What is going on, which quantity can you estimate reliably, and what would you report?