The human resources department of an organization uses multifactor criteria for candidate selection. The hiring manager wants to know how hiring scores are related to the performance in interview, professional experience, and education. She obtains data for eight scores from the human resources department, as shown in Table $1.$

Table $1.$ Multifactor Hiring Criteria

$$ Find the multiple regression equation that models the data.

$$ Calculate the predicted hiring score for a candidate who scored $20$ points in the interview, has $10$ years of professional experience, and possesses $16$ years of education.