QUESTION 4 In a well-recognized institution of higher learning, new employees take an aptitude test when hired. A year later, their job performance is evaluated. The director would like to know if the aptitude test scores can be used to predict job performance. The aptitude scores and job performance scores of eleven randomly selected employees are recorded below. Employee 1 Aptitude score Performance score 7 82 2 5 82 3 4 68 4 5 75 5 8 92 6 7 86 7 6 76 8 9 86 9 8 69 10 4 72 11 6 64 STA1506/014/0 3 (a) Identify the dependent and independent variables of the data. (4) (b) Show the relationship between the aptitude score and the performance rating score using a scatter plot. State what relationship is observed. (8) (c) Measure the strength of the statistical relationship by computing the correlation coefficient between the dependent and the independent variable of the employees. Interpret the findings. (4) (e) (d) Determine the slope of the regression equation. Determine the y-intercept of the regression equation. (4) (4) Write down the fitted linear regression equation. (4) (g) If the aptitude score is 3, what the performance score is likely to be? (4)