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Please help with the following statstics question. An investigation of the properties of bricks used to line aluminum smelter pots was published in The American

Please help with the following statstics question.

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An investigation of the properties of bricks used to line aluminum smelter pots was published in The American Ceramic Society Bulletin (February 2005}. Six different commercial bricks were evaluated. The life length of a smelter pot depends on the porosity of the brick ning {the less porosity, the longer the life); consequently, the researchers measured the apparent porosity of each brick specimen, as well as the mean pore diameter of each brick. The data are given in the accompanying table. Apparent Mean Pore Diameter Brick Porosity (96) (micrometers) A 18.8 12.0 B 18.3 9.7 C 16.3 7.3 D 6.9 5.3 E 17.1 10.9 F 20.4 16.8 {a} Find the least squares line relating porosity {y} to mean pore diameter (x). (b) Interpret the yintercept of the line. (c) Interpret the slope of the line. (d) Conduct a test to determine whether porosity (y) and diameter (x) are positively linearly related. Use CE = .01 [Hypothesis Test on the slop)

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