please answer all questions.

QUESTION 7 In an effort to gauge the quality of employees employed, the senior manager in a manufacturing company wanted to look at the effect of math aptitude test score (X, total of 100) on the performance (Y) of all executives working for the company. The performance score was measured on a total score of 1000 points. A survey was conducted on 15 executives of the company and data on performance and math attitude test score were collected. To investigate the effect, a simple linear regression model was proposed. -n--------EIIEI X 81 91 68 34 92 90 T0 Y 7'60 822 925 800 815 902 618 805 880 845 7'02 780 795 7'50 695 a) Compute the coefcient of correlation and interpret the coefcient. (5 marks) b) Obtain the linear regression equation model and interpret the slope. (3 marks) c) Calculate the coefcient of determination, and interpret the value obtain. (2 marks) d) Predict the performance of an employee when his math aptitude is 75 points. (2 marks)