(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) -0.036r - 64.06 (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 0 0375 X meter, or about 1.476 x inches.

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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.)
1900 1904 1908
1912
7.48 7.60
Year
Length 7.19 7.34
(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) = 0.0361 – 64.06
(b) Explain in practical terms the meaning of the slope of the regression line.
In practical terms the meaning of the slope,
x meter, or about 1.476
meter per year, of the regression line is that each year the length of the winning long jump increased by an average of 0 0375
x inches.
Transcribed Image Text: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.) 1900 1904 1908 1912 7.48 7.60 Year Length 7.19 7.34 (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) = 0.0361 – 64.06 (b) Explain in practical terms the meaning of the slope of the regression line. In practical terms the meaning of the slope, x meter, or about 1.476 meter per year, of the regression line is that each year the length of the winning long jump increased by an average of 0 0375 x inches.
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