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Question

pps c O wwwwebassign.net/web/Student Assignment Respon p 15199549 For quick access, place your bookmarks here on the bookmarks bar. Import bookmarks now. O 3/2 points I Previous Answers BBUnderStat10 93.005. Prehistoric pottery vessels are usually found as sherds (broken pieces) are carefully enough sherds can be found. An archaeological study and reconstructed if 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 SE Coef Constant 429 4.079 0 a) Minitab calls the explanatory variable the predictor variable which is the predictor variable, the diameter of the pot or the height? height O diameter (b) For the least-squares line a bx, what is the value of the constant a? What is the value of the slope D? (Note: The slope s the coemoent of the predictor variable.) the equation of the least-squares line. (c) The P-value for a two-tailed test corresponding to each coefficient is listed under P. The t value corresponding to coemoent is isted under T What the is the P-value of the slope? What are the hypotheses for a two-tailed test of o?

Explanation / Answer

Solution:-

a) The predictor variable is diameter.

b) The regression equation is Y = - 0.254 + 0.8094*X.

a = - 0.254

b = 0.8094

Y = a + b*X

Y = - 0.254 + 0.8094*X

c) The p value of the slope is 0.08.

d)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

H0: The slope of the regression line is equal to zero.

Ha: The slope of the regression line is not equal to zero.

If the relationship between height and diameter is significant, the slope will not equal zero.