A study reports the results of a regression analysis based on n=15 observations in which x = filter application temperature and y=% efficiency of BOD removal. Calculated quantities include:
Sumation Xi = 402
Sumation Xi^2 = 11098
s = 3.725
B1 = 1.7035
a) Test at level .01 Ho: B1=1, which states that the expected increase in %BOD removal is 1 when filter application temperature increases by 1 degree Celsius, against the alternative Ha: B>1
b) Calculate a 99% CI for B1, the expected increase in % BOD removal for 1 C increase in filter application temperature.
(NOTE: Show work for a lifesaver rate)