An article in the journal of the american ceramic society,“rapid hot-pressing of ultrafine psz powders” (1991,vol. 74, pp. 1547–1553) considered the microstructure of theultrafine powder of partially stabilized zirconia as a function oftemperature. the data are shown below: x = temperature (°c) 1100 1200 1300 1100 1500 1200 1300y = porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6fit the simple linear regression model using the method of leastsquares. find the least squares estimates of the intercept(a) and slope (b) in the simplelinear regression model. find an estimate of (c).estimate the mean porosity for a temperature of 1406 °c() = ) = ) = ) =

correct answer is c. just did it

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough