The human resources department at a large company wants to develop a model to predict an employee’s job satisfaction from the number of hours of unpaid work per week the employee does, the employee’s age, and the employee’s income. A sample of 25 employees at the company is taken and each empolyee’s job satisfaction score is out of 10 is recorded, with higher values indicating greater job satisfaction. The employee’s income is recorded in units of thousands of dollars. (a)Is the data appropriately modeled with a linear model? Explain your answer.

(b) Create a model for the job satisfaction of employees at the company using the variables for unpaid work, age, and income and interpret the model.

(c) What is your estimate for each variable coefficient? Which of them are statistically significant?

(d) What is the confidence estimate for the job satisfaction of 30-year-old employees that do five hours of unpaid work per week and make $60,000 annually?

Job Satisfaction	Hours of Unpaid Work per Week	Age	Income ($1000s)
4	3	23	60
5	8	32	114
2	9	28	45
6	4	60	187
7	3	62	175
8	1	43	125
7	6	60	93
3	3	37	57
5	2	24	47
5	5	64	128
7	2	28	66
8	1	66	146
5	7	35	89
2	5	37	56
4	0	59	65
6	2	32	95
5	6	76	82
7	5	25	90
9	0	55	137
8	3	34	91
7	5	54	184
9	1	57	60
7	0	68	39
10	2	66	187
5	0	50	49