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The management of a professional baseball team is in the process of determining the budget for next year.
The model is of the form: Y = β0 + β1X1 + β2X2 + β3X3 + where:
- X2 = 1, if weekend
- X2 = 0, otherwise
- X3 = 1, if weather is favourable
- X3 = 0, otherwise
After collecting the data based on 30 games from last year and implementing the above stated multiple regression model, the team statistician obtained the following least squares multiple regression equation: yˆ = -1050 + 250x1 + 2200x2 + 5400x3
The multiple regression compute output also indicated the following: sb1 = 800, sb2 = 1000, sb3 = 1850
QUESTION:
Assume that the overall model is useful in predicting the game attendance and the team statistician wants to know if the mean attendance is higher on the weekends as compared to the weekdays. State the appropriate null and alternative hypotheses.
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