2. Nuclear power Here are data on 32 light water nuclear power plants. The variables are: Cost: In $100,00, adjusted to 1976 base. Date: date that construction permit was issued in years after 1900. Thus, 68.58 is rough halfway through 1968 Mwatts: Power plant net capacity in megawatts We are interested in the Cost of the plants as a function of date and Mwatts. Use Nucle arpower.xls data (a) Examine the relationship between Cost and Mwatts and between cost and Date, Mal appropriate display and interpret them with a sentence or two. (b) Find the regression of Cost on Mwatts. Write a sentence that explains the relationshi as described by the regression. (c) Make a scatterplot of residuals vs. predicted values and discuss what it shows. Mal a Normal probability plot of histogram of the residuals. discuss the four assumptio needed for regression analysis and indicate whether you think they are satisfied her Give your reasons. (d) State the standard null hypothesis for the slope coefficient and complete the t-test the 5% level. state your conclusion. (e) Estimate the cost of 1000-mwatt plant. Show your work. (f) Compute the residuals for this regression. Discuss the meaning of r-squared in th regression. Plot the residuals against date. Does it appear that date can account fo some of the remaining variability? (g) Compute the multiple regression of Cost on both Mwatts and date. Compare the coo ficient in this regression with those you have found for each of these predictors. (h) Would you expect Mwatts and Date to be correlated?Why or why not? Examine th relationship between Mwatts and date. Make a scatterplot and find the correlatio coefficient, for example. it's only because of the extraordinary nature of this relationshi that the relationship you saw at earlier steps were this simple