Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data given in the table on the right, where x is years since 1980 and y is winning time (in seconds). Do the same for the women's 100-meter freestyle data. Do these models indicate that the women will eventually catch up with the men? 100-Meter Freestyle Men Women 1980 50.40 54.79 1984 49.80 55.92 1988 48.63 55.00 1992 49.12 54.65 1996 48.74 54.50 2000 48.30 53.83 The men's linear regression model is 2004 48.17 53.84 y = 50.1233 – 0.0948x 2008 47.21 53.12 (Round regression coefficients to three decimal places as needed.)
Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data given in the table on the right, where x is years since 1980 and y is winning time (in seconds). Do the same for the women's 100-meter freestyle data. Do these models indicate that the women will eventually catch up with the men? 100-Meter Freestyle Men Women 1980 50.40 54.79 1984 49.80 55.92 1988 48.63 55.00 1992 49.12 54.65 1996 48.74 54.50 2000 48.30 53.83 The men's linear regression model is 2004 48.17 53.84 y = 50.1233 – 0.0948x 2008 47.21 53.12 (Round regression coefficients to three decimal places as needed.)
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Transcribed Image Text:100-Meter Freestyle
Use a graphing calculator to find a linear regression model
for the men's 100-meter freestyle data given in the table
on the right, where x is years since 1980 and y is winning
time (in seconds). Do the same for the women's 100-meter
freestyle data. Do these models indicate that the women
will eventually catch up with the men?
Men
Women
1980
50.40
54.79
1984
49.80
55.92
1988
48.63
55.00
1992
49.12
54.65
1996
48.74
54.50
2000
48.30
53.83
The men's linear regression model is
2004
48.17
53.84
y = 50.1233 – 0.0948x
2008
47.21
53.12
(Round regression coefficients to three decimal places as
needed.)
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11 y

Transcribed Image Text:100-Meter Freestyle
Use a graphing calculator to find a linear regression model
for the men's 100-meter freestyle data given in the table on
the right, where x is years since 1980 and y is winning time
(in seconds). Do the same for the women's 100-meter
freestyle data. Do these models indicate that the women will
Men
Women
1980
50.40
54.79
1984
49.80
55.92
1988
48.63
55.00
eventually catch up with the men?
1992
49.12
54.65
1996
48.74
54.50
2000
48.30
53.83
2004
48.17
53.84
The men's linear regression model is
- 0.095x + 50.123
y =
2008
47.21
53.12
(Round regression coefficients to three decimal places as
needed.)
The women's linear regression model is
y =
(Round regression coefficients to three decimal places as
needed.)
Solution
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