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 ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s) 97 6 1.5 90 2 2 95 5 1.5 93 3.5 2.5 95 3 4.3 95 3.5 3.3 95 3.5 4.2 95 4 2.5 a. Use alpha= 0.01 to test the hypotheses Ho : Beta Sub1= Beta Sub2 =0 Ha : Beta Sub1 and/or Beta Sub2 is not equal to zero for the model y=Beta Sub 0+ Beta Sub1 Xsub1+Beta Sub2 Xsub2+E , where X1= television advertising ($1000s) X2+ newspaper advertising ($1000s) Compute the F test statistic (to 2 decimals). Use F table. What is the p-value? - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2 What is your conclusion? - Select your answer -The overall model is not significantThe overall model is significantItem 3 b. Use alpha =0.05 to test the significance of Beta1 . Compute the t test statistic (to 2 decimals). Use t table. What is the p-value? - Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 5 What is your conclusion? - Select your answer -No significant relationship between television advertising and revenueSignificant relationship between television advertising and revenueItem 6 Should X1 be dropped from the model? - Select your answer -No, x1 should not be dropped from the modelYes, x1 should be dropped from the modelItem 7 c. Use alpha=0.05 to test the significance of beta sub2 . Compute the t test statistic (to 2 decimals). Use t table. What is the p-value? - Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 9 What is your conclusion? - Select your answer -No significant relationship between newspaper advertising and revenueSignificant relationship between newspaper advertising and revenueItem 10 Should X2 be dropped from the model? - Select your answer -No, x2 should not be dropped from the modelYes, x2 should be dropped from the modelI

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 ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s) 97 6 1.5 90 2 2 95 5 1.5 93 3.5 2.5 95 3 4.3 95 3.5 3.3 95 3.5 4.2 95 4 2.5 a. Use alpha= 0.01 to test the hypotheses Ho : Beta Sub1= Beta Sub2 =0 Ha : Beta Sub1 and/or Beta Sub2 is not equal to zero for the model y=Beta Sub 0+ Beta Sub1 Xsub1+Beta Sub2 Xsub2+E , where X1= television advertising ($1000s) X2+ newspaper advertising ($1000s) Compute the F test statistic (to 2 decimals). Use F table. What is the p-value? - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2 What is your conclusion? - Select your answer -The overall model is not significantThe overall model is significantItem 3 b. Use alpha =0.05 to test the significance of Beta1 . Compute the t test statistic (to 2 decimals). Use t table. What is the p-value? - Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 5 What is your conclusion? - Select your answer -No significant relationship between television advertising and revenueSignificant relationship between television advertising and revenueItem 6 Should X1 be dropped from the model? - Select your answer -No, x1 should not be dropped from the modelYes, x1 should be dropped from the modelItem 7 c. Use alpha=0.05 to test the significance of beta sub2 . Compute the t test statistic (to 2 decimals). Use t table. What is the p-value? - Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 9 What is your conclusion? - Select your answer -No significant relationship between newspaper advertising and revenueSignificant relationship between newspaper advertising and revenueItem 10 Should X2 be dropped from the model? - Select your answer -No, x2 should not be dropped from the modelYes, x2 should be dropped from the modelI

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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Question

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 ($1000s)	Televison Advertising ($1000s)	Newspaper Advertising ($1000s)
97	6	1.5
90	2	2
95	5	1.5
93	3.5	2.5
95	3	4.3
95	3.5	3.3
95	3.5	4.2
95	4	2.5

a. Use alpha= 0.01 to test the hypotheses

Ho : Beta Sub1= Beta Sub2 =0

Ha : Beta Sub1 and/or Beta Sub2 is not equal to zero

for the model y=Beta Sub 0+ Beta Sub1 Xsub1+Beta Sub2 Xsub2+E , where

X1= television advertising ($1000s)

X2+ newspaper advertising ($1000s)

Compute the F test statistic (to 2 decimals). Use F table.

What is the p-value?

- Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2

What is your conclusion?

- Select your answer -The overall model is not significantThe overall model is significantItem 3

b. Use alpha =0.05 to test the significance of Beta1 . Compute the t test statistic (to 2 decimals). Use t table.

What is the p-value?

- Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 5

What is your conclusion?

- Select your answer -No significant relationship between television advertising and revenueSignificant relationship between television advertising and revenueItem 6

Should X1 be dropped from the model?

- Select your answer -No, x1 should not be dropped from the modelYes, x1 should be dropped from the modelItem 7

c. Use alpha=0.05 to test the significance of beta sub2 . Compute the t test statistic (to 2 decimals). Use t table.

What is the p-value?

- Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 9

What is your conclusion?

- Select your answer -No significant relationship between newspaper advertising and revenueSignificant relationship between newspaper advertising and revenueItem 10

Should X2 be dropped from the model?

- Select your answer -No, x2 should not be dropped from the modelYes, x2 should be dropped from the modelI

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