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 =...


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 relatingx = body diameter in centimeters andy = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data.


































PredictorCoefSE CoefTP
Constant-0.2332.429-0.090.929
Diameter0.79480.16715.330.001
S = 4.10980R-Sq = 80.3%


(a) The standard errorSe
 of the linear regression model is given in the printout as "S." What is the value ofSe
?



(b) The standard error of the coefficient of the predictor variable is found under "SE Coef." Recall that the standard error forb is










Se








Σx2 −









1
n

(Σx)2


.

From the Minitab display, what is the value of the standard error for the slopeb?




Jun 07, 2022
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