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 Advertising ($1,000s) Newspaper ($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, represent the amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.) (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, represent the amount of television advertising in $1,000s, x, represent the amount of newspaper a represent the weekly gross revenue in $1,000s.) (e) is the estimated regression equation coefficient for television advertising expenditures the same in part (a) and in part (b)? -Select v).tis in part (a) and in part (b). Interpret the coeficient in each case. O 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. O 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 O 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. O 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-unt increase in newspaper advertising with television advertising held constant. O In part (a) it represents the change in revenue due to a one-unit increase in television advertising expenditure with newspaper advertising heid constant. In part (b) it represents the change in revenue due to a one-unit increase in newspaper advertising with television advertising held

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
Television
Newspaper
Advertising Advertising
($1,000s)
Gross
Revenue
($1,000s)
($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, represent the amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.)
(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, represent the amount of television advertising in $1,000s, x, represent the amount of newspaper advertising in $1,000s, and y
represent the weekly gross revenue in $1,000s.)
シ=
(c) Is the estimated regression equation coefficient for television advertising expenditures the same in part (a) and in part (b)?
|---Select--- V , it is
|in part (a) and|
| in part (b).
Interpret the coefficient in each case.
O 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.
O 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.
O 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.
O 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.
O 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.
(d) Predict weekly gross revenue (in dollars) for a week when $3,300 is spent on television advertising and $1,200 is spent on newspaper advertising. (Round your answer to the nearest cent.)
$4
Transcribed Image Text: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 Television Newspaper Advertising Advertising ($1,000s) Gross Revenue ($1,000s) ($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, represent the amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.) (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, represent the amount of television advertising in $1,000s, x, represent the amount of newspaper advertising in $1,000s, and y represent the weekly gross revenue in $1,000s.) シ= (c) Is the estimated regression equation coefficient for television advertising expenditures the same in part (a) and in part (b)? |---Select--- V , it is |in part (a) and| | in part (b). Interpret the coefficient in each case. O 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. O 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. O 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. O 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. O 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. (d) Predict weekly gross revenue (in dollars) for a week when $3,300 is spent on television advertising and $1,200 is spent on newspaper advertising. (Round your answer to the nearest cent.) $4
(a) Use analysis of variance to test for a significant difference among the means of the three treatments.
State the null and alternative hypotheses.
H: M = Hz = Hg
: Not all the population means are equal.
Ho
O Hoi H1 = H2 = Hz
H: Not all the population means are equal.
O Ho: At least two of the population means are equal.
: At least two of the population means are different.
E = Zy = T :H
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
Reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal.
Reject H.. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
Do not reject H,. There is sufficient evidence to conclude that the means of the three treatments are not equal.
(b) Use Fisher's LSD procedure to determine which means are different.
Find the value of LSD. (Round your answer to two decimal places.)
LSD =
Find the pairwise absolute difference between sample means for each pair of treatments.
-
2 - X
Which treatment means differ significantly? (Select all that apply.)
O There is a significant difference between the means for treatments 1 and 2.
There is a significant difference between the means for treatments 1 and 3.
There is a significant difference between the means for treatments 2 and 3.
There are no significant differences.
Transcribed Image Text:(a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H: M = Hz = Hg : Not all the population means are equal. Ho O Hoi H1 = H2 = Hz H: Not all the population means are equal. O Ho: At least two of the population means are equal. : At least two of the population means are different. E = Zy = T :H Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal. Reject H.. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject H,. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to determine which means are different. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of treatments. - 2 - X Which treatment means differ significantly? (Select all that apply.) O There is a significant difference between the means for treatments 1 and 2. There is a significant difference between the means for treatments 1 and 3. There is a significant difference between the means for treatments 2 and 3. There are no significant differences.
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