4. Paul, Jane, and Ann, share information about their likes and dislikes of movies in order to make decisions about selecting films to see. They rates films they see with a scale of 0 to 10, (10 means they liked the movie very much). Here is the status of their table of ratings when Ann was interested in a new film which soon came to a 'theater near her' (titled Title 6 in the table): moviePJane Ann Title-14 Title-2938 Title-3 261 Title-47 4 Title-5836 Title-63 Ann generally follows a combination of Paul and Jane's ratings. Ann wants to predict how well she will like the movie Title-6, which Paul and Jane have already seen. Ann reasons as follows: she will give her similarity coefficients and for Paul and Jane respectively. If the missing rating (call it a) were known then the column of Ann's ratings should be the closest in the least-squares sense to the combination of Paul's and Jane's ratings: min Determine, , using the first 5 movie ratings, and form that the combination of Paul's and Jane's ratings that is closest to Ann's, in a least squares sense. Use this resulting best combination to infer the induced rating for Ann for Title-6. Should Ann see 'Title 6'? Is her taste closer to Paul's or to Jane's! 4. Paul, Jane, and Ann, share information about their likes and dislikes of movies in order to make decisions about selecting films to see. They rates films they see with a scale of 0 to 10, (10 means they liked the movie very much). Here is the status of their table of ratings when Ann was interested in a new film which soon came to a 'theater near her' (titled Title 6 in the table): moviePJane Ann Title-14 Title-2938 Title-3 261 Title-47 4 Title-5836 Title-63 Ann generally follows a combination of Paul and Jane's ratings. Ann wants to predict how well she will like the movie Title-6, which Paul and Jane have already seen. Ann reasons as follows: she will give her similarity coefficients and for Paul and Jane respectively. If the missing rating (call it a) were known then the column of Ann's ratings should be the closest in the least-squares sense to the combination of Paul's and Jane's ratings: min Determine, , using the first 5 movie ratings, and form that the combination of Paul's and Jane's ratings that is closest to Ann's, in a least squares sense. Use this resulting best combination to infer the induced rating for Ann for Title-6. Should Ann see 'Title 6'? Is her taste closer to Paul's or to Jane's