Prehistoric pottery vessels are usually found as sherds (broken pieces) and are
ID: 3222848 • Letter: P
Question
Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. An archaeological 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. (a) Minitab calls the explanatory variable the predictor variable. Which is the predictor variable, the diameter of the pot or the height? diameter height (b) For the least-squares line y^= a + bx, what is the value of the constant a? What is the value of the slope b? Write the equation of the least-squares line. a = b = y^= + x (c) The P-value for a two-tailed test corresponding to each coefficient is listed under P. The t value corresponding to the coefficient is listed under T. What is the P-value of the slope?Explanation / Answer
a) Predictor variable = Diameter
b) Intercept(a) = -0.221
Slope(b) = 0.7500
The regression line of Y on X is Y = -0.221 +0.75X
c) The P-Value of the slope is given by
P = 0.001<0.01. Hence slope is significantly different from zero