Show your work for any parts where you are aske dto compute BY HAND. I want to see the R-code used for each part. DO NOT show all of the output, just the relevant pieces to answer the questions. Cut and paste *relevant* R commands and output into a word processor such as MS Word. DO NOT INCLUDE OUTPUT THAT YOU DO NOT REFER TO OR USE IN THE PROBLEM, otherwise points will be deducted. Problem 6 dat <- bookdata("ch05q06.txt") --------- 6a) Create a scatterplot and add the regression line in R. 6d) Compute the interval BY HAND (based on summary statistics from R). 6f) Also, compute BY HAND a 95% confidence interval for the conditional mean at AGE=10 (based on summary statistics from R). Problem 8 dat <- bookdata("ch05q08.txt") --------- NOTE: part (g) is an added question. 8a) Create a scatterplot and add the regression line in R. Use the multifig(2,2) command for this problem as there will be 4 plots. Place the 4 plots under part (a) so they are easy to find. 8d) Carry out the test BY HAND using a T statistic and compute a p-value for the test. 8e) These are plots 2 & 3. 8f) Answer this question by computing the specific interval (confidence or prediction, you decide) at Xo=2.75. Show your interval and justify your conclusion. 8g) Use Tukey's Rule of the Bulge to identify a transformation of your Y-variable so that the assumptions of the linear model are satisfied better. You may need to try more than one transformation before things look better. Create a scatterplot with the estimated regression line and describe how it better fits the transformed data than the line in part (a).