Which of the following is the best interpretation of the standard deviation of the residuals? O The typical arm span is 161 centimeters. O The typical foot length is 16.1 centimeters. O The typical distance between the observed and predicted arm spans is 1.61 centimeters. O The typical distance between the observed and predicted foot lengths is 1.61 centimeters.

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The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The
computer output displays the regression analysis.
Predictor
Coef SE Coef
t-ratio
Constant
-7.611
0.186
2.567
2.965
0.046
0.000
Arm span
0.035
5.377
S = 1.61
R-Sq = 63.04
R-Sq (Adj) = 64.9%
Which of the following is the best interpretation of the standard deviation of the residuals?
The typical arm span is 161 centimeters.
O The typical foot length is 16.1 centimeters.
The typical distance between the observed and predicted arm spans is 1.61 centimeters.
O The typical distance between the observed and predicted foot lengths is 1.61 centimeters.
33
Transcribed Image Text:The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis. Predictor Coef SE Coef t-ratio Constant -7.611 0.186 2.567 2.965 0.046 0.000 Arm span 0.035 5.377 S = 1.61 R-Sq = 63.04 R-Sq (Adj) = 64.9% Which of the following is the best interpretation of the standard deviation of the residuals? The typical arm span is 161 centimeters. O The typical foot length is 16.1 centimeters. The typical distance between the observed and predicted arm spans is 1.61 centimeters. O The typical distance between the observed and predicted foot lengths is 1.61 centimeters. 33
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