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Suppose that the purity (%) of a chemical solution y is related to the amount of a catalyst x (mg) by the linear regression model
Suppose that the purity (%) of a chemical solution
y
is related to the amount of a catalyst
x
(mg) by the linear regression model\
y=123-2.3x+\\\\epsi lon
\ where
\\\\epsi lonN(0,16)
.\ a) What is the mean purity when the catalyst amount is
15mg
?\ b) What is the average change in purity for a 1-mg increase in catalyst? For a 10-mg increase?\ c) For a solution with catalyst amount
x=20mg
, find the probability that the purity is between 70 and 80 units.
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