A statistical program is recommended.The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.

Weekly Gross Revenue ($1,000s)	Television Advertising ($1,000s)	Newspaper Advertising ($1,000s)
96	5.0	1.5
90	2.0	2.0
95	4.0	1.5
92	2.5	2.5
95	3.0	3.3
94	3.5	2.3
94	2.5	4.2
94	3.0	2.5

The owner then used multiple regression analysis to predict gross revenue(y),in thousands of dollars, as a function of television advertising(x₁),

in thousands of dollars, and newspaper advertising(x₂),in thousands of dollars. The estimated regression equation was

= 83.2 + 2.29x₁ + 1.30x₂.

(a)What is the gross revenue (in dollars) expected for a week when $2,500 is spent on television advertising

(x₁ = 2.5)and $4,200 is spent on newspaper advertising(x₂ = 4.2)?(Round your answer to the nearest dollar.)$

(b)Provide a 95% confidence interval (in dollars) for the mean revenue of all weeks with the expenditures listed in part (a). (Round your answers to the nearest dollar.)$ to $ (c)Provide a 95% prediction interval (in dollars) for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a). (Round your answers to the nearest dollar.)$ to $