The following table shows the length, in meters, of the winning long jump in the Olympic Games for the indicated year. (One meter is 39.37 inches.) Year 1900 1904 1908 1912 Length 7.19 7.34 7.48 7.60 (a) Find the equation of the regression line that gives the length as a function of time. (Let t be the number of years since 1900 and L the length of the wining long jump, in meters. Round the regression line parameters to three decimal places.) L(t) = 0.034t+7.197 (b) Explain in practical terms the meaning of the slope of the regression line. In practical terms the meaning of the slope, meter per year, of the regression line is that each year the length of the winning long jump increased by an average of meter, or about inches.
The following table shows the length, in meters, of the winning long jump in the Olympic Games for the indicated year. (One meter is 39.37 inches.) Year 1900 1904 1908 1912 Length 7.19 7.34 7.48 7.60 (a) Find the equation of the regression line that gives the length as a function of time. (Let t be the number of years since 1900 and L the length of the wining long jump, in meters. Round the regression line parameters to three decimal places.) L(t) = 0.034t+7.197 (b) Explain in practical terms the meaning of the slope of the regression line. In practical terms the meaning of the slope, meter per year, of the regression line is that each year the length of the winning long jump increased by an average of meter, or about inches.
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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The following table shows the length, in meters, of the winning long jump in the Olympic Games for the indicated year. (One meter is 39.37 inches.)
| Year | 1900 | 1904 | 1908 | 1912 |
|---|---|---|---|---|
| Length | 7.19 | 7.34 | 7.48 | 7.60 |
(a) Find the equation of the regression line that gives the length as a function of time. (Let t be the number of years since 1900 and L the length of the wining long jump, in meters. Round the regression line parameters to three decimal places.)
(b) Explain in practical terms the meaning of the slope of the regression line.
L(t) =
0.034t+7.197
(b) Explain in practical terms the meaning of the slope of the regression line.
In practical terms the meaning of the slope, meter per year, of the regression line is that each year the length of the winning long jump increased by an average of meter, or about inches.
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