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. Predictor Coef SE Coof T Constant -0. 197 2.429 -0. 09 0.929 Diameter 0 . 8013 0 . 1471 3. 42 0 . 009 = 4. 07980 R-Sq = 70.08 (a) Minitab calls the explanatory variable the predictor variable. Which is the predictor variable, the diameter of the pot or the height? O diameter O 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? (Note: The slope is the coefficient of the predictor variable.) Write the equation of the least- squares line. a = b = 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? What are the hypotheses for a two-tailed test of f = 0? OH : D = 0; H : B O OH : B a. O Yes, the correlation coefficient is significant at the a = 0.01 level because the P-value s a. No, the correlation coefficient is not significant at the a = 0.01 level because the P-value > a