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 |(a) Develop an estimated regression equation with the amount of television advertising as the independent variable. (Round your numerical values to two decimal places. Let $ x_1 $ represent the amount of television advertising in $1,000s and $ y $ represent the weekly gross revenue in $1,000s.)$\hat{y} =$ [Blank space for answer](b) Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. (Round your numerical values to two decimal places. Let $ x_1 $ represent the amount of television advertising in $1,000s, $ x_2 $ represent the amount of newspaper advertising in $1,000s, and $ y $ represent the weekly gross revenue in $1,000s.)$\hat{y} =$ [Blank space for answer] (b) Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. (Round your numerical values to two decimal places. Let $ x_1 $ represent the amount of television advertising in $1,000s, $ x_2 $ represent the amount of newspaper advertising in $1,000s, and $ y $ represent the weekly gross revenue in $1,000s.)\[\hat{y} = \_\_\_\](c) Is the estimated regression equation coefficient for television advertising expenditures the same in part (a) and in part (b)?No $\checkmark$, it is \_\_\_ in part (a) and \_\_\_ in part (b).Interpret the coefficient in each case.- $ \circ $ In part (a) it represents the change in revenue due to a one-unit increase in television advertising with newspaper advertising held constant. In part (b) it represents the change in revenue due to a one-unit increase in television advertising expenditure. - $ \circ $ In part (a) it represents the change in revenue due to a one-unit increase in television advertising expenditure. In part (b) it represents the change in revenue due to a one-unit increase in newspaper advertising with television advertising held constant. - $ \bullet $ In part (a) it represents the change in revenue due to a one-unit increase in television advertising expenditure. In part (b) it represents the change in revenue due to a one-unit increase in television advertising with newspaper advertising held constant. - $ \circ $ In part (a) it represents the change in revenue due to a one-unit increase in television advertising expenditure with newspaper advertising held constant. In part (b) it represents the change in revenue due to a one-unit increase in newspaper advertising with television advertising held constant. - $ \circ $ In part (a) it represents the change in revenue due to a one-unit increase in newspaper advertising expenditure with television advertising held constant. In part (b) it represents the change in revenue due to a one-unit increase in television advertising with newspaper advertising held constant.(d) Predict weekly gross revenue (in dollars) for a week when $ \$3,100 $ is spent on television advertising and $ \$1,800 $ is spent on newspaper advertising. (Round your answer to the nearest cent.)\[\$ \_\_\_ \

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. Newspaper Weekly Television Gross Advertising Advertising ($1,000s) ($1,000s) Revenue ($1,000s) 96 90 95 92 95 94 94 94 5.0 2.0 4.0 2.5 3.0 3.5 2.5 3.0 1.5 2.0 1.5 2.5 3.3 2.3 4.2 2.5 (a) Develop an estimated regression equation with the amount of television advertising as the independent variable. (Round your numerical values to two decimal places. Let x₁ represent the amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.) ŷ=

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. Newspaper Weekly Television Gross Advertising Advertising ($1,000s) ($1,000s) Revenue ($1,000s) 96 90 95 92 95 94 94 94 5.0 2.0 4.0 2.5 3.0 3.5 2.5 3.0 1.5 2.0 1.5 2.5 3.3 2.3 4.2 2.5 (a) Develop an estimated regression equation with the amount of television advertising as the independent variable. (Round your numerical values to two decimal places. Let x₁ represent the amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.) ŷ=

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. Market Mobile Shreveport Jackson Birmingham Little Rock Biloxi New Orleans Baton Rouge Weekly Gross Revenue Television Advertising Newspaper Advertising ($100s) 101.3 51.9 74.8 126.2 137.8 101.4 237.8 219.6 ($100s) 5.0 3.0 4.0 4.3 3.6 3.5 5.0 6.9 + (a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable. Let x represent the amount of television advertising. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) ŷ ($100s) 1.5 3.0 1.5 4.3 4.0 2.3 8.4 5.8 X Test for a significant relationship between television advertising and weekly…
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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 GrossRevenue($1000s) TelevisonAdvertising($1000s) NewspaperAdvertising($1000s) 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 Part A: Develop an estimated regression equation with the amount of television advertising as the independent variable. Part B: Develop an estimated regression equation with both television advertising and news paper advertising as independent variables. Part C: Is the estimated regression rquation coefficient for television advertising expenditures the same in part (a) and in part (b) ? Interpret the coefficient in each case. Part D : Predict Weekly gross revenue for a week $3500 is spent on television advertising and $1800 is spent on newspaper advertising? Please hurry
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The owner of Showtime Movie Theaters, Inc., would lke to predict weekly gross revenue as a function of advertising expenditures Historical data for a sample of eight wecks 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 (x), in thousands of dolars, and newspaper advertising (x,), in thousands of dollars. The estimated regression equation was = 83.2 + 2.29x, + 1.30x. (a) What is the gross revenue (in dollars) expected for a week when $5,000 is spent on television advertising (x5) and $1,500 is spent on newspaper advertising (, 1.5)? (Round your answer to the nearest dollar.) $06600 (b) Provide a 95% confidence interval (in dolars) for the mean revenue of all weeks with the expenditures listed in part (a).…
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Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. Weekly Gross Revenue Television Advertising Newspaper Advertising ($100s) 102.5 52.7 75.8 127.8 137.8 101.4 237.8 219.6 Market Mobile Shreveport Jackson Birmingham Little Rock Biloxi New Orleans Baton Rouge ($100s) 5.1 3.2 4.0 4.3 3.5 3.6 5.0 6.9 ($100s) 1.6 3.0 1.5 4.0 4.3 2.3 8.4 5.8 (a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable. Let x represent the amount of television advertising. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) ŷ Test for a significant relationship between television advertising and weekly…
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