Determine the regression model for overall satisfaction as a function of years of service and department that has the largest Upper R squared. Let$$ "Administrative" be the baseline$$ department, let Upper X $1$ represent$$ Maintenance, let Upper X $2$ represent$$ Management, let Upper X $3$ represent$$ Production, let Upper X $4$ represent Quality$$ Control, and let Upper X $5$ represent Shipping$/$ Receiving, coding each department variable with a $1$ if the person is in that department and $0$ otherwise. In$$ addition, let Upper X $6$ represent Years. Enter the terms of the equation so that the Upper X Subscript k$-$values are in ascending numerical order by base. Select the correct choice below and fill in any answer boxes within your choice.

Department Years Ideas Communication Recognition Training Work Conditions Tools and Information Work$/$Life Balance Satisfaction

Management $154435359$

Administrative $1623224523$

Production $1623244425$

Production $1523144424$

Quality Control $1555555510$

Maintenance $1754355539$

Maintenance $1555555559$

Production $1333344438$

Quality Control $1134445527$

Production $3555555510$

Production $622133424$

Production $154434558$

Production $334345547$

Production $244445558$

Production $334332447$

Shipping $/$ Receiving $2132232435$

Production $243433446$

Production $245444448$

Production $1554343537$

Management $334334558$

Production $545323547$

Shipping $/$ Receiving $832222424$

Management $322223533$

Administrative $244344538$

Production $855353538$

Shipping $/$ Receiving $3223242535$

Production $1743433526$

Shipping $/$ Receiving $2555555510$

Production $1553455559$

Production $524222533$

Administrative $1443225556$

Shipping $/$ Receiving $1844455558$