Question

XYZ company plans to advertise some vacancies. The Manager is asked to suggest the monthly salary for these vacancies based on the years of experience. To do so, the Manager studies the years of service and the monthly salary drawn by the existing employees in the company. Following is the data that the Manager refers to: | Years of service (X) | 11 | 7 | 9 | 5 | 8 | 6 | 10 | |---|---|---|---|---|---|---|---| | Monthly salary (in ₹1000) (Y) | 10 | 8 | 6 | 5 | 9 | 7 | 11 |

The line of regression of marks in Statistics (X) and marks in Accountancy (Y) for a class of 50 students is 3y − 5x + 180 = 0. The average score in Accountancy is 44 and the variance of marks in Statistics is (9/16)th of variance of marks in Accountancy.