Chapter 11.4, Problem 6P

Using Computer Printouts Problems 5 and 6 use the following information. Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. Information taken from Mimbres Mogollon Archaeology by A. I. Woosley and A. J. McIntyre (University of New Mexico Press) 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	-0.223	2.429	-0.09	0.929
Diameter	0.7848	0.1471	5.33	0.001
S = 4.07980	R-Sq =80.3%

Critical Thinking: Using Information in a Computer Display to Find a Confidence Interval Refer to the Minitab printout regarding prehistoric pottery.

(a) The standard error $S_e$ of the linear regression model is given in the printout as “S.” What is the value of $S_e$?

(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?

In Problems 7-12, parts (a) and (b) relate to testing $\rho$. Part (c) requests the value of $S_e$. Part (e) relates to confidence intervals for prediction. Part (f) relates to testing $\beta$. Answers may vary due to rounding.