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. SE Coef T 2.429 -0.09 Predictor Constant Diameter 0.7648 S = 4.08980 R-Sq=90.3% (a) The standard error S, of the linear regression model is given in the printout as "S." What is the value of Se? Coef -0.223 Se √Ex- (Ex)² 0.1271 5.33 (b) The standard error of the coefficient of the predictor variable is found under "SE Coef." Recall that the standard error for bis P 0.929 0.005 From the Minitab 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.
SE Coef
2.429
Predictor
Constant
Diameter
Se
Coef
-0.223
ν Σχ
=-
1
0.7648
(Ex)²
0.1271
T
-0.09
5.33
S = 4.08980
R-Sq = 90.3%
(a) The standard error S, of the linear regression model is given in the printout as "S." What is the value
of Se?
P
(b) The standard error of the coefficient of the predictor variable is found under "SE Coef." Recall that the
standard error for bis
0.929
From the Minitab display, what is the value of the standard error for the slope b?
0.005
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. SE Coef 2.429 Predictor Constant Diameter Se Coef -0.223 ν Σχ =- 1 0.7648 (Ex)² 0.1271 T -0.09 5.33 S = 4.08980 R-Sq = 90.3% (a) The standard error S, of the linear regression model is given in the printout as "S." What is the value of Se? P (b) The standard error of the coefficient of the predictor variable is found under "SE Coef." Recall that the standard error for bis 0.929 From the Minitab display, what is the value of the standard error for the slope b? 0.005
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