Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. Information taken from a study provides data relating x = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data. Predictor Coef SE Coef T P Constant -0.233 2.429 -0.09 0.929 Diameter 0.7948 0.1671 5.33 0.001 S = 4.10980 R-Sq = 80.3% (a) The standard error S, of the linear regression model is given in the printout as "S." What is the value of S? Se (b) The standard error of the coefficient of the predictor variable is found under "SE Coef." Recall that the standard error for b is From the Minitab V Ex? – display, what is the value of the standard error for the slope b?

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Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. Information taken from a study provides
data relating x =
body diameter in centimeters and y
height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab
printout provides an analysis of the data.
Predictor
Coef
SE Coef
T
P
Constant
-0.233
2.429
-0.09
0.929
Diameter
0.7948
0.1671
5.33
0.001
S = 4.10980
R-Sq = 80.3%
(a) The standard error S. of the linear regression model is given in the printout as "S." What is the value of S?
e
Se
(b) The standard error of the coefficient of the predictor variable is found under "SE Coef." Recall that the standard error for b is
From the Minitab
Ex² - ±(Ex)² '
display, what is the value of the standard error for the slope b?
Transcribed Image Text:Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. Information taken from a study provides data relating x = body diameter in centimeters and y height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data. Predictor Coef SE Coef T P Constant -0.233 2.429 -0.09 0.929 Diameter 0.7948 0.1671 5.33 0.001 S = 4.10980 R-Sq = 80.3% (a) The standard error S. of the linear regression model is given in the printout as "S." What is the value of S? e Se (b) The standard error of the coefficient of the predictor variable is found under "SE Coef." Recall that the standard error for b is From the Minitab Ex² - ±(Ex)² ' display, what is the value of the standard error for the slope b?
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