Consider the following data, which lists the winning times for the women\'s 400-
ID: 3021963 • Letter: C
Question
Consider the following data, which lists the winning times for the women's 400-meter
freestyle swim from 1932 through 1996:
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
Lorraine 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
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?
4:37.8
4:33.2
4:40.8
4:35.6
4:29.8
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
Lorraine 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
Explanation / Answer
y= 0.03871 - 0.0000814*x where x = 1970
So, at x = 1970 y= 4:33.2
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