Answer:
a-1. An increase in the length of service (years) by one year will lead to a reduction in the job satisfaction test score by 8.69.
a-2. An increase in the wage rate (dollars) by $1 will lead to an increase in the job satisfaction test score by 13.5.
b. The predicted score of the job satisfaction test for the employee is 155.14.
Explanation:
a. Interpret the coefficients in this estimated regression equation.
a-1. Interpretation of the coefficient of x1
From the estimated regression equation, the coefficient of x1 is -8.69. Since the coefficient of x1 is negative, it implies that an increase in the length of service (years) by one year will lead to a reduction in the job satisfaction test score by 8.69.
a-2. Interpretation of the coefficient of x2
From the estimated regression equation, the coefficient of x2 is 13.5. Since the coefficient of x2 is positive, it implies that an increase in the wage rate (dollars) by $1 will lead to an increase in the job satisfaction test score by 13.5.
b. Predict the job satisfaction test score for an employee who has four years of service and makes $13.00 per hour.
Given:
y = 14.4 - 8.69x1 + 13.5x2 ………………… (1)
where
x1 = length of service (years) = 4
x2 = wage rate (dollars) = $13
y = job satisfaction test score = ?
Substituting the values into equation (1), we have:
y = 14.4 - (8.69 * 4) + (13.5 * 13)
y = 155.14
Therefore, the predicted score of the job satisfaction test for the employee is 155.14.
