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

(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

what is the value of the standard error for the slope b?

(c) The formula for the margin of error E for a c%
confidence interval for the slope b can be written as E 5tC (SE Coef). The Minitab display is based on n 5 9 data pairs. Find the critical value tc for a 95% confidence interval in Table 6 of Appendix II. Then find a 95% confidence interval for the population slope b .

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 5body diameter in centimeters and y 5height 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%.

AppendixLO1

Transcribed Image Text:

Se 2 Ex - (Ex). From the Minitab display, n