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? CE The men's linear regression model is y= (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.) Based on the regression models, will the women's times eventually catch up with the men's times? O No OYes 1980 1984 1988 1992 1996 2000 2004 2008 100-Meter Freestyle Men 50.40 49.80 48.63 49.02 48.74 48.30 48.17 47.38 Women 54.79 55.92 54.93 54.65 54.50 53.83 53.84 53.12

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? CE The men's linear regression model is y= (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.) Based on the regression models, will the women's times eventually catch up with the men's times? O No OYes 1980 1984 1988 1992 1996 2000 2004 2008 100-Meter Freestyle Men 50.40 49.80 48.63 49.02 48.74 48.30 48.17 47.38 Women 54.79 55.92 54.93 54.65 54.50 53.83 53.84 53.12

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

K
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?
The men's linear regression model is
y= 0
(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.)
Based on the regression models, will the women's times eventually catch up with the men's times?
O No
OYes
STTTTTTT
1980
1984
1988
1992
1996
2000
2004
2008
100-Meter Freestyle
Men
50.40
49.80
48.63
49.02
48.74
48.30
48.17
47.38
Women
54.79
55.92
54.93
54.65
54.50
53.83
53.84
53.12

Expert Solution

Step 1

The given data for the men's and women's $100$ -meter freestyle.

Men

Women

1980

1984

1988

1992

1996

2000

2004

2008

50.40

49.80

48.63

49.02

48.74

48.30

48.17

47.38

54.79

55.92

54.93

54.65

54.50

53.83

53.84

53.12

We have to find the linear regression model for both men and women's $100$ -meter freestyle.

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