Target Variable:

Ring:$-$ gives the age in years

Input Variables$/$Attribute Information:

Shell weight$-$ After being dried

Viscera weight$-$ weight of meat

Whole weight$-$ whole abalone

Height$-$ with meat in shell

Diameter$-$ perpendicular to length

Length$-$ Longest shell measurement

Sex $-$ M$,$ F$,$ and I $($infant$)$

$1.$ Identify outliers in variables and dummy code categorical variables $[10$ Points$]$

$2.$ Run a Linear regression on the dataset by exploring the relationship of Ring with the all the other variables in the dataset. Perform random sampling to split the dataset with $80\%$ set for Training set and $20\%$ for test set.

Note: Please take a screenshot of your output and submit on canvas. You MUST also submit your SAS file. Answers to the questions below $(2,3,4,5,$ and $6)$ must be handwritten. You may take pictures and submit as a single file or multiple files on canvas$)[5$ Points$]$

$2.$ Explain any two coefficients and Construct a $95\%$ confidence interval for the true coefficients of these variables. $[5$ Points$]$

$3.$ Which variables are statistically significant? Justify your answer. Do the signs of the various coefficients make sense? $[10$ Points$]$

$4..$ Identify variables with multicollinearity? Justify your answer. Explain why multi collinearity is a problem and how will you handle it$.$ And what is the most preferred method? $[5$ Points$]$

$5.$ Rerun the model by dropping any variables as you see necessary. What is your overall analysis regarding the reliability and quality of this model? $[5$ Points$]$

$6.$ What are the steps that you have taken to verify that the output from this model is not biased? Clearly show the output screenshots considered to discuss this result. What do we learn from the plot of the residuals on the fitted values of this model? $[5$ Points$]$