The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x₁) and newspaper advertising (x₂). Values of y, x₁, and x₂ are expressed in thousands of dollars.

Weekly Gross revenue 96 90 95 92 95 94 94 94

Television advertising 5.0 2.0 4.0 2.5 3.0 3.5 2.5 3.0

Newspaper advertising 1.5 2.0 1.5 2.5 3.3 2.3 4.2 2.5

the estimated regression equation was y=83.23+2.29x1+1.30x2

a. What is the gross revenue expected for a week where 3,500 is spent on television (x₁ = 3.5) and $1,800 is spent on newspaper advertising (x₂ = 1.8) (to 3 decimals)?

$ 93.59 thousand

b. Provide a prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) (to 2 decimals).

( $ thousand, $ thousand )