An investigation of the properties of bricks used to linealuminum smelter pots was published in an article. Six differentcommercial bricks were evaluated. The life span of a smelter potdepends on the porosity of the brick lining? (the less? porosity,the longer the life? span); consequently, the researchers measuredthe apparent porosity of each brick? specimen, as well as the meanpore diameter of each brick. See the table.

Brick	Apparent Porosity? (%)	Mean Pore Diameter ?(micrometers)
A	18.6	12.01
B	18.3	9.8
C	16.3	7.37
D	6.9	5.2
E	17.1	10.9
F	20.4	16.81

a. Find the least squares line relating porosity? (y) to meanpore diameter? (x).

y=_______+______x?(Round to the nearest thousandth as?needed.)

b. Interpret the? y-intercept of the line. Choose the correctanswer below.

A.The? y-intercept is ?0. The mean pore diameter is estimated tobe ?0 when the apparent porosity is zero.

B.There is not enough information to answer this question.

C.The? y-intercept is ?0. This value has no meaning because 0 isnot in the observed range of the independent variable mean porediameter.

D.The? y-intercept is ?0. For each unit increase in mean pore?diameter, the mean porosity is estimated to increase by ?0.

c. Interpret the slope of the line. Choose the correct answerbelow.

A.The slope of the line is ?1.This value has no meaning because0 is not in the observed range of the independent variable meanpore diameter.

B.The slope of the line is ?1. For each unit increase in meanpore? diameter, the mean porosity is estimated to increase by?1.

C.The slope of the line is ?1. The mean pore diameter isestimated to be ?1 when the apparent porosity is zero.

D.There is not enough information to answer this question.

d. Predict the apparent percentage of porosity for a brick witha mean pore diameter of 10 micrometers. y=_________% ?(Round to thenearest thousandth as? needed.)