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.

1. 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=1232.3x+ where N(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