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 Se of the linear regression model is given in the printout as "S." What is the value of 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 Se Σx2 − 1 n(Σx)2. From the Minitab display, what is the value of the standard error for the slope b?
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 Se of the linear regression model is given in the printout as "S." What is the value of 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 Se Σx2 − 1 n(Σx)2. From the Minitab display, what is the value of the standard error for the slope b?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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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 Se of the linear regression model is given in the printout as "S." What is the value of 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 display, what is the value of the standard error for the slope b?
| Se | ||||
|
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