29. What of the following condition is not required to construct a regression model? (A) The mean value of each error term equals to 0. (B) The observations are independent. (C) The observations have the common variance. (D) The response variable has a common normal distribution. (E) The response variable has to be linear associated with the explanatory variable.

37. An industrial plant claims to discharge no more than 1000 gallons of wastewater per hour, on the average, into a neighboring lake. An environmental action group took some random samples from the lake over a period of time to analyze the true mean discharge of wastewater per hour exceeded the company claim of 1000 gallons. Consider a one-sided hypotheses and use a significance level of $\alpha = 0.05$. What of the following statement is correct? (A) If the plant is not exceeding the limit, but actually $ \mu = 1000 $, there is only $ 5\% $ chance that we will conclude they are exceeding the limit. (B) If the plant is exceeding the limit, there is only a $ 5\% $ chance that we will conclude that they are not exceeding the limit. (C) If we reject $ H_0 $, the probability that it is actually true is 0.05. (D) The probability that the sample mean equals exactly the observed value would equal 0.05 if $ H_0 $ were true. (E) All of the above.

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