The Management of a Professional Baseball Team Is in the Process

question 67

Essay

The management of a professional baseball team is in the process of determining the budget for next year.A major component of future revenue is attendance at the home games.In order to predict attendance at home games,the team's statistician has used a multiple regression model with dummy variables.The model is of the form: y = β₀+ β₁x₁+ β₂x₂+ β₃x₃+ ε where:
Y = attendance at a home game
x1= current power rating of the team on a scale from 0 to 100 before the game.
x2and x3are dummy variables,and they are defined below.
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: $$\hat { y } = - 1050 + 250 x _ { 1 } + 2200 x _ { 2 } + 5400 x _ { 3 }$$ The multiple regression compute output also indicated the following: $$s _ { b _ { 1 } } = 800 , s _ { b _ { 2 } } = 1000 , s _ { b _ { 3 } } = 1850$$
-Interpret the estimated model coefficient b1

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Definitions:

Culturally Disapproved

Activities or behaviors that are not accepted or are frowned upon by a particular culture or society.

Windigo Psychosis

A cultural syndrome found among native communities in North America, particularly among Algonquian peoples, characterized by an intense craving for human flesh and fear of becoming a cannibalistic monster.

Paranoid Schizophrenia

A sub-type of schizophrenia characterized by pronounced delusions or auditory hallucinations, often involving themes of persecution or grandiosity, with relatively preserved cognitive functioning.

Delusional System

A fixed, false belief or set of beliefs that are strongly held despite contradictory evidence, often associated with psychiatric disorders.