Question

A researcher has sampled 25 individuals and recorded the following data for this group of people: body fat (in pounds) and thigh circumference (in inches). A regression model has been developed using statistical software (see output below). Number of obs = 25 R-squared = 0.8010 AdjR-squared = 0.7083 Root MSE = 2.5102 Bodyfat Coef. Std. Error t P>|t| [95% Conf.Interval] Thigh 0.9455466 0.0100156 4.79 0.000 [0.6254123, 1.087681] Intercept -20.33449 4.257414 -3.18 0.001 [-35.52027, -11.7487) Interpret the value of the coefficient of determination ($r^2$).

          A researcher has sampled 25 individuals and recorded the following data for this group of people:
body fat (in pounds) and thigh circumference (in inches). A regression model has been developed
using statistical software (see output below).
Number of obs = 25
R-squared = 0.8010
AdjR-squared = 0.7083
Root MSE = 2.5102
Bodyfat Coef. Std. Error t P>|t|
[95%
Conf.Interval]
Thigh 0.9455466 0.0100156 4.79 0.000 [0.6254123,
1.087681]
Intercept -20.33449 4.257414 -3.18 0.001 [-35.52027,
-11.7487)
Interpret the value of the coefficient of determination ($r^2$).

A researcher has sampled 25 individuals and recorded the following data for this group of people:
body fat (in pounds) and thigh circumference (in inches). A regression model has been developed
using statistical software (see output below).
Number of obs = 25
R-squared = 0.8010
AdjR-squared = 0.7083
Root MSE = 2.5102
Bodyfat Coef. Std. Error t P>|t|
[95%
Conf.Interval]
Thigh 0.9455466 0.0100156 4.79 0.000 [0.6254123,
1.087681]
Intercept -20.33449 4.257414 -3.18 0.001 [-35.52027,
-11.7487)
Interpret the value of the coefficient of determination (r^2).

Added by Michael F.

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