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
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
5
2.5
91
2
3
95
5
1.5
92
2.5
2.5
96
3
4.3
94
3.5
2.3
95
2.5
5.2
95
3
a. Use a = 0.01 to test the hypotheses
H?: ?? = ?? = 0
Ha : ?? and/or ??
Is not equal to Zero
x? = television advertising ($1000s)
x? = newspaper advertising ($1000s)
Compute the F test statistic (to 2 decimals). ____ Use F table
What is the p-value? (less than .01) (between .01 and .025) (between .025 and .05) (between .05 and .10) (greater than .10)
What is your conclusion? (the over model is not significant) (the over model is significant)
b. Use a = 0.05 to test the significance of ??. Compute the t test statistic (to 2 decimals). ___ use t table
What is the -value? (less than .01) (between .01 and .025) (between .025 and .05) (between .05 and .10) (greater than .10)
What is your conclusion? (the over model is not significant) (the over model is significant)
Should x1 be dropped from the model? (no, x1 should not be dropped from the model) (yes, should be dropped from the model)
c. Use a = 0.05 to test the significance of ??. Compute the t test statistic (to 2 decimals). __ use t table
What is the p-value? (less than .01) (between .01 and .025) (between .025 and .05) (between .05 and .10) (greater than .10)
What is your conclusion? (the over model is not significant) (the over model is significant)
Should x2 be dropped from the model? (no, x1 should not be dropped from the model) (yes, should be dropped from the model)
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