Hello Barbara!
As Leon stated, your post was extremely helpful in helping one to better understand the difference between bivariate linear regression models and the ANOVA/independent-samples t-test! As Sweet and Grace-Martin (2012) stated, regression gives researchers a more precise and comprehensive understanding of the predictive power of an observed relationship. My question to you is, what are some of the potential limitations of bivariate and multiple linear regression models? Also, how is your week 6 assignment coming along? 
Reference
Sweet, S. A., & Grace-Martin, K. (2012). Data analysis with SPSS: A first course in applied statistics (4th ed.). Allyn & Bacon.