specimen 12345 pressure x 12345 compression y 11234 a calcul

specimen 1,2,3,4,5

pressure x 1,2,3,4,5

compression y 1,1,2,3,4

a) calculate the least squre line for predicting compression from the pressure

B) if the pressure is 3, predict the compression

Solution

a)

Using technology, we get              
              
slope =    0.8          
intercept =    -0.2          
              
Thus, the regression line is              
              
y^ = -0.2 + 0.8x [ANSWER]

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B)
              
Thus, if x =    3          
              
Then              
              
y^ = -0.2 + 0.8*3 =     2.2 (or, 0.22 in)   [ANSWER]