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Solve using R and show R code
Instruction: Please submit your R code along with a brief write-up of the solutions. Some of the questions below can be answered with very little or no programming. However, write code that outputs the final answer and dos not ryuira uper calceulatioms. Q.N. 1) The mammals data set in the MASS package records brain size and body size of 62 different mammals a) Fit a regresion model to describe the relation between brain size and body size b) Calculate the 95% confidence interval for the slope parameter of the model. c) Calculate the 90% confidence interval for the slope parameter of the model. d) Display a residual plot using the plot method for the results of the In function. e) Which observation(mammal) has the largest residual in your fitted model?
math   Statistics-And-Probability   
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> library (MASS) > data (mammals) > ## mammals > names (mammals) 1 body brain x-mammals$body >y-mammals$brain >## a) > reg-lm (y-x) > reg Call: 1m (formula -y~ x) Coefficients: (Intercept) 91.0044 0.9665 > ## estimated regression line is yhat-91.0044+0.9665*x >## b) > confint.lm (reg,alpha-0.05) 2.5 % 97.5 % (Intercept) 3.8862623 178.122530 0.8711564 1.061836 > ## slope confidence interval is lower bound is 0.8711564 and > ## upper bound is 1.061836 >## c) > confint.lm (reg,alpha-0.10) 2.5 % 97.5 % (Intercept) 3.8862623 178.122530 0.8711564 1.061836 > ## slope confidence interval is lower bound is 0.8711564 and > ## upper bound is 1.061836

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