Prehistoric pottery vessels are usually found as sherds (broken pieces) and are
ID: 3268683 • Letter: P
Question
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 -0.230 2.429 -0.09 0.929 Diameter 0.7986 0.1524 5.33 0.023 S = 4.17000 R-Sq = 70.7% 6. 0 -15 points BBUnderStat11 9.3.006. My Notes Ask Your Teacher 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 relat ing 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 coe SE coef Constant -0.230 2,429 0.09 0.929 Diameter 0.79B 6 0.1524 5.33 0.023 S - 4.1700 R-Sq = 70.7 (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 sex - 1n)(Ex). From the Minitab display, what is the value of the standard error for the slope b? (c) The formula for the margin of error E for a clconfidence interval for the slope B can be written as E = tSE Coef). The Minitab display is based on an = 10 data pairs. Find the critical value t, for a 90% confidence interval in the relevant table. Then find a 90% confidence interval for the population slope B. (Use 3 decimal places.) lower limit upper limit Need Help? Read ItExplanation / Answer
Q6) a) Se = 4.17
b) Standard error of slope = 0.1524
c) tc = 1.860
Margin of error = 1.860*0.1524 = 0.283395
Lower Limit = 0.7986-0.283395 = 0.515
Upper limit = 0.7986+0.283395 = 1.082