93.585 thousand b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) (to 2 decimals). ($ thousand, $ thousand)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
icon
Related questions
Question
The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (1) and newspaper advertising (2). Values of y, ₁, and 2 are expressed in thousands
of dollars.
Click on the datafile logo to reference the data.
DATA file
The estimated regression equation was
Weekly Gross
thousand
Television
Advertising
($1000s)
($1000s)
96
5.0
90
2.0
111
95
4.0
1.5
92
2.5
95
3.0
3.5
2.5
3.0
Revenue
94
94
Newspaper
94
Advertising
($1000s)
1.5
2.0
2.5
3.3
2.3
4.2
2.5
ŷ = 83.23 +2.29x1 + 1.30x2
a. What is the gross revenue expected for a week where $3,500 is spent on television (1 = 3.5) and $1,800 is spent on newspaper advertising (2 = 1.8) (to 3 decimals)?
$ 93.585
b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) (to 2 decimals).
($
thousand, $
thousand)
Hint(s) Check My Work
Transcribed Image Text:The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (1) and newspaper advertising (2). Values of y, ₁, and 2 are expressed in thousands of dollars. Click on the datafile logo to reference the data. DATA file The estimated regression equation was Weekly Gross thousand Television Advertising ($1000s) ($1000s) 96 5.0 90 2.0 111 95 4.0 1.5 92 2.5 95 3.0 3.5 2.5 3.0 Revenue 94 94 Newspaper 94 Advertising ($1000s) 1.5 2.0 2.5 3.3 2.3 4.2 2.5 ŷ = 83.23 +2.29x1 + 1.30x2 a. What is the gross revenue expected for a week where $3,500 is spent on television (1 = 3.5) and $1,800 is spent on newspaper advertising (2 = 1.8) (to 3 decimals)? $ 93.585 b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) (to 2 decimals). ($ thousand, $ thousand) Hint(s) Check My Work
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning