Prehistoric pottery vessels are usually found as sherfs(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   T   F constant -.182   2.429   -.09  .929 diameter  .8175   .1471   4.25   .007 s=4.07980  R-Sq=81.9%  a) for the least squares line y=a+bx what is the value of the constant a? What is the value of the slope b? ( no the slope is the coefficient of the predictor variable) write the equation of the least squares line. a= b= y=___+___x b) the p value for a two tailed test corresponding to each coefficient is listed under p. The tea value corresponding to the coefficient is listed under T. What is the P value of the slope? c) recall that the T value in resulting P value of the slope b equal the tea value in resulting P value of the corresponding correlation coefficient r. To find the value of the sample correlation coefficient or take the square root of the "R-Sq"? Value shown in the display what is the value of r? (Round your answer to three decimal places)

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Prehistoric pottery vessels are usually found as sherfs(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   T   F

constant -.182   2.429   -.09  .929

diameter  .8175   .1471   4.25   .007

s=4.07980  R-Sq=81.9% 

a) for the least squares line y=a+bx what is the value of the constant a? What is the value of the slope b? ( no the slope is the coefficient of the predictor variable) write the equation of the least squares line.

a=
b=
y=___+___x

b) the p value for a two tailed test corresponding to each coefficient is listed under p. The tea value corresponding to the coefficient is listed under T. What is the P value of the slope?

c) recall that the T value in resulting P value of the slope b equal the tea value in resulting P value of the corresponding correlation coefficient r. To find the value of the sample correlation coefficient or take the square root of the "R-Sq"? Value shown in the display what is the value of r? (Round your answer to three decimal places) 

 

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