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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 Coef Constant -0.233 2.429 -0. 09 0. 929 Diameter 0. 8094 0. 1471 4.67 D. 002 S = 4.07980 R-Sq 78. 48 (a) Minitab calls the explanatory variable the predictor variable. Which is the predictor variable, the diameter of the pot or the height? O height O diameter (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 = V = (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 7. What is the P-value of the slope? What are the hypotheses for a two-tailed test of B = 0? OH : B = 0; H : B = 0 OH,: B = 0; H: B = 0 OH, : B = 0 ; H : B > O OH, : B a. 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