The file COSTEST 3 on the CD contains data on production runs at a manufacturing plant. There are two columns of data:

y= COST is the total cost of the production run
x= NUMBER is the number of items produced during that run

Run the regression using COST as the dependent variable and NUMBER as the independent variable and use the result to help answer the following problems:

A: what is the estimated regression equation relating y to x?

B: What percentage of the variation in y has been describeed by the regression?

C: Are Y and x linearly related? Conduct a hypothesis test to answer this problem and use a 5% level of significance. State the hypotheses to be tested, the decision rule, the test statistic, and your decision. What conclusion can be drawn from the result of the test?

D. Estimate the fixed cost involved in the production process. Find a point estimate and a 95% confidence interval estimate.

E. Estimate the variable cost involved in the production process. Find point estimate and a 95 % confidence interval estimate.