A national research council is launching a new training program aimed at developing highly specialized researchers in artificial intelligence. The selection committee has received many applications each of which includes an overall rating of each applicant based on his/her academic records. The committee has also administered the following two tests to the applicants to further assess their eligibility: a basic knowledge test and an aptitude test. To validate these two tests, the committee wants to know the relationship between the knowledge and aptitude tests ratings and the overall ratings based on academic records. 3 The Assignment 4.xlsx file contains the rating, knowledge, and aptitude scores as well as the gender of the 77 applicants. Treating Rating as the response variable and Knowledge and Aptitude scores as explanatory variables, answer the following questions using a 1% significance level. (Note: treat these data as sample data). a) [3 marks] Comment on the correlation and linear relationship between Rating and each of the continuous explanatory variables. Do you see any potential challenges with the corresponding multiple linear regression