You then have six different univariate models. Please be aware that the more equations you examine the greater your chance of finding a significant outcome even if the null hypothesis is true. In this case there is a 0.735 chance of finding no significant outcomes if the null hypothesis is true. One significant outcome will happen about 20% of the time, two significant outcomes about 3% and three significant outcomes are 0.2%. This assumes alpha=0.05, and the 6 dependent variables are independent of each other. The probability of finding no significant outcomes given that the null hypothesis is true will diminish as the number of tests increases.