The manager of the Ramona Inn Hotel near Cloverleaf Stadium believes that how well the local Blue Sox professional baseball team is playing has an impact on the occupancy rate at the hotel during the summer months. Following are the number of victories for the Blue Sox ( in a 162 game schedule) for the past eight years and the hotel occupancy rates.
Year Blue Sox Wins Occupancy Rate %
1 75 83
2 70 78
3 85 86
4 91 85
5 87 89
6 90 93
7 87 92
8 67 91
Develop a linear regression model for these data and forecast the occupancy rate for next year if the Blue Sox win 88 games.