Statistics Help

Question 19 (4 points) Consider the following data, which lists the winning times for the women's 400- meter freestyle swim from 1932 through 1996: Assuming the data are linearly related, and using a least-squares linear regression, what would be the prediction for the winning time had there been an Olympics in 1970? Year Winner, Country Time 1932 Helene Madison, USA 5:28.5 1936 Rie Mastenbroek, HOL 5:26.4 1948 Ann Curtis, USA 5:17.8 1952 Valeria Gyenge, HUN 5:12.1 1956 Lorrain Crapp, AUS 4:54.6 1960 Chris von Saltza, USA 4:50.6 1964 Ginny Duenkel, USA 4:43.3 1968 Debbie Meyer, USA 4:31.8 1972 Shane Gould, AUS 4:19.4 1976 Petra Thumer, E. Ger 4:09.9 1980 Ines Diers, E. Ger 4:08.8 1984 Tiffany Cohen, USA 4:07.1 1988 Janet Evans, USA 4:03.9 1992 Dagmar Hase, GER 4:07.2 1996 Michelle Smith, IRE 4:07.3 4:37.8 4:33.2 4:40.8 4:35.6 4:29.8