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Question 180821: Can you please help me. I am very confuse with this problem.
The accompanying table shows the percent of the adult population that married before age 25 in several different years. Using the year as the independent variable, find the linear regression equation. Round the regression coefficients to the nearest hundredth. Using the equation found above, estimate the percent of the adult population in the year 2009 that will marry before age 25, and round to the nearest tenth of a percent
Year(x) Percent (Y)
1971 42.4
1976 37.4
1980 37.1
1984 34.1
1989 32.1
1993 28.8
1997 25.7
2000 25.5
thank you very much!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The accompanying table shows the percent of the adult population that married before age 25 in several different years. Using the year as the independent variable, find the linear regression equation. Round the regression coefficients to the nearest hundredth. Using the equation found above, Year(x) Percent (Y)
1971 42.4
1976 37.4
1980 37.1
1984 34.1
1989 32.1
1993 28.8
1997 25.7
2000 25.5
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You need a calculator or some software to generate the linear regression
equation.
Enter the data as (71,42.4) (76,37.4) (80,37.1) etc.
Run the program to get: f(x) = -0.58x + 82.92
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estimate the percent of the adult population in the year 2009 that will marry before age 25, and round to the nearest tenth of a percent
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2009 means x = 109
f(109) = -0.58*109 + 82.92 = 19.75%
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Cheers,
Stan H.
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