Assume that the graphical checks of problem 6 above are satisfactory. Then for the data given in problem 5 above: a) Calculate the estimated variance around the regression line, b) Is the estimated...

Assume that the graphical checks of problem 6 above are satisfactory. Then for the data given in problem 5 above:

a) Calculate the estimated variance around the regression line,

b) Is the estimated regression coefficient,b, significantly different from zero at the 1% level of significance? Can we conclude that temperature has a significant effect on density in this case?

c) What is the 95% confidence interval for ß, the true slope or regression coefficient?

d) Calculate the 95% confidence interval for the mean value ofyat each ofx= 250, 300, 350.

e) Suppose we repeat the experiment. What is the 95% prediction interval for individual values ofyat each ofx= 250, 300, 350?