The owner of a movie theater company 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) 96 91 95 93 95 94 94 94 Television Newspaper Advertising Advertising ($1,000s) ($1,000s) 5 2 4 2.5 3 3.5 2.5 3 1.5 2 1.5 2.5 3.3 2.3 4.2 2.5 (a) Use a = 0.01 to test the hypotheses Ho: B₁-B₂-0 HP, and/or ₂ is not equal to zero for the model y=+*+₂₂+, where x₁ television advertising ($1,000s) X2= newspaper advertising ($1,000s). Find the value of the test statistic. (Round your answer to two decimal places.) 30.94 x Find the p-value. (Round your answer to three decimal places.) p-value-0.001 State your conclusion. Do not reject Ho. There is insufficient evidence to conclude that there is a sign Do not reject Ho. There is sufficient evidence to conclude that there is a signif Reject H. There is sufficient evidence to conclude that there is a significant re O Reject Ho. There is insufficient evidence to conclude that there is a significant

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3BGP
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The owner of a movie theater company 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)
96
91
95
93
95
94
94
94
Newspaper
Television
Advertising Advertising
($1,000s)
($1,000s).
5
2
4
2.5
3
3.5
2.5
3
1.5
2
1.5
2.5
3.3
2.3
4.2
2.5
(a) Use a = 0.01 to test the hypotheses
Ho: P₁=B₂=0
HB, and/or ₂ is not equal to zero.
for the model y = ₁ + B₂x₂ + B₂x₂ + c, where
*₁ = television advertising ($1,000s)
*2= newspaper advertising ($1,000s).
Find the value of the test statistic. (Round your answer to two decimal places.)
30.94 x
Find the p-value. (Round your answer to three decimal places.)
p-value 0.001
State your conclusion.
Do not reject Ho. There is insufficient evidence to conclude that there is a sigr
Do not reject Ho. There is sufficient evidence to conclude that there is a signif
Reject Ho. There is sufficient evidence to conclude that there is a significant re
O Reject Ho. There is insufficient evidence to conclude that there is a significant
Transcribed Image Text:The owner of a movie theater company 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) 96 91 95 93 95 94 94 94 Newspaper Television Advertising Advertising ($1,000s) ($1,000s). 5 2 4 2.5 3 3.5 2.5 3 1.5 2 1.5 2.5 3.3 2.3 4.2 2.5 (a) Use a = 0.01 to test the hypotheses Ho: P₁=B₂=0 HB, and/or ₂ is not equal to zero. for the model y = ₁ + B₂x₂ + B₂x₂ + c, where *₁ = television advertising ($1,000s) *2= newspaper advertising ($1,000s). Find the value of the test statistic. (Round your answer to two decimal places.) 30.94 x Find the p-value. (Round your answer to three decimal places.) p-value 0.001 State your conclusion. Do not reject Ho. There is insufficient evidence to conclude that there is a sigr Do not reject Ho. There is sufficient evidence to conclude that there is a signif Reject Ho. There is sufficient evidence to conclude that there is a significant re O Reject Ho. There is insufficient evidence to conclude that there is a significant
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