The executives at CBC want to see how they are doing in ratings against the other networks and how the ratings will continue to change in the upcoming months. They also want to know if hiring stars makes a difference and the impact of fact-based programming compared to hiring stars.
1. Answer the following questions: a. What is the average rating for all CBC movies? How about ABN movies and BBS movies?
b. Include a table that shows the average and the other descriptive statistics (using the data analysis toolpack in Excel) for the ratings of the three networks (one column for each network). Explain what you learn from each of the metrics in the table.
c. Comment on which network is doing best.
2. Create a line graph of the monthly average ratings for CBC for the year. Note that there are multiple ratings data for the months; you will need to calculate an average for each month first, and then plot the averages. After you create the graph, fit a linear trend line, displaying the formula and the r-squared. Explain to the executives if you can use this time series data to forecast the ratings of upcoming months. How accurate can you expect this forecast to be?
3. Should the CBC hire stars for their movies? To answer this question, run a hypothesis test to see if there is a significant difference between the ratings of movies with stars versus movies without stars. Use the data for CBC movies only. Use 95% confidence. Answer the following:
a. What are the null and alternative hypotheses (state in full sentences)?
b. Run the test using Excel and include the output table. Use a t-test assuming equal variances.
c. What is your recommendation to the executives? Justify your answer referring to the relevant figures.
4. Run a multiple regression where the dependent variable is ratings and the independent variables are star and fact. Use data from CBC only. CBC Management has several questions:
a. Which has more impact on a movie’s rating: being fact based or having one star? How much does each of these factors change the ratings?
b. How well does this regression analysis explain the ratings? Justify your answers referring to the relevant figures.
c. Are either, both, or neither of the independent variables significantly related to the ratings at 95% confidence? Justify your answers referring to the relevant figures.
Data:
Observation / Network / Month / Day / Rating / Fact / Stars1 / BBS / 1 / 1 / 15.6 / 0 / 1
2 / BBS / 1 / 7 / 10.8 / 1 / 0
3 / BBS / 1 / 7 / 14.1 / 0 / 1
4 / BBS / 1 / 1 / 16.8 / 1 / 1
5 / BBS / 2 / 1 / 14.3 / 1 / 1
6 / BBS / 2 / 1 / 17.1 / 1 / 1
7 / BBS / 3 / 1 / 15.8 / 0 / 0
8 / BBS / 3 / 7 / 16.2 / 1 / 0
9 / BBS / 4 / 7 / 12.6 / 0 / 1
10 / BBS / 5 / 1 / 13.5 / 0 / 1
11 / BBS / 5 / 7 / 15.6 / 0 / 0
12 / BBS / 5 / 1 / 12.1 / 0 / 1
13 / BBS / 5 / 1 / 15.8 / 1 / 0
14 / BBS / 9 / 7 / 15 / 1 / 0
15 / BBS / 9 / 7 / 16.3 / 0 / 0
16 / BBS / 9 / 7 / 13.3 / 0 / 1
17 / BBS / 10 / 7 / 10.8 / 0 / 1
18 / BBS / 10 / 7 / 14.4 / 1 / 0
19 / BBS / 11 / 7 / 14.4 / 1 / 1
20 / BBS / 11 / 7 / 13.6 / 1 / 0
21 / ABN / 1 / 7 / 14.6 / 0 / 0
22 / ABN / 1 / 2 / 10.8 / 0 / 1
23 / ABN / 1 / 7 / 16.2 / 0 / 0
24 / ABN / 1 / 2 / 12.8 / 0 / 0
25 / ABN / 1 / 7 / 16 / 0 / 1
26 / ABN / 2 / 7 / 18.9 / 0 / 1
27 / ABN / 2 / 2 / 14 / 1 / 1
28 / ABN / 3 / 7 / 19.5 / 1 / 1
29 / ABN / 3 / 2 / 14.7 / 1 / 0
30 / ABN / 3 / 7 / 16.3 / 0 / 1
31 / ABN / 3 / 7 / 15.8 / 1 / 0
32 / ABN / 3 / 7 / 17.1 / 0 / 1
33 / ABN / 3 / 2 / 11.5 / 0 / 0
34 / ABN / 3 / 7 / 16 / 1 / 0
35 / ABN / 3 / 2 / 11.7 / 0 / 1
36 / ABN / 4 / 2 / 14.2 / 0 / 0
37 / ABN / 4 / 7 / 11.2 / 0 / 0
38 / ABN / 4 / 2 / 10.9 / 0 / 0
39 / ABN / 4 / 7 / 13.3 / 0 / 1
40 / ABN / 4 / 7 / 15.5 / 1 / 0
41 / ABN / 4 / 2 / 16.6 / 1 / 0
42 / ABN / 5 / 7 / 16.3 / 1 / 0
43 / ABN / 5 / 7 / 12.3 / 0 / 1
44 / ABN / 5 / 2 / 13.3 / 1 / 0
45 / ABN / 9 / 7 / 15.4 / 0 / 1
46 / ABN / 9 / 2 / 10.7 / 0 / 0
47 / ABN / 9 / 7 / 15.5 / 0 / 0
48 / ABN / 9 / 2 / 14.7 / 1 / 0
49 / ABN / 10 / 7 / 15.9 / 1 / 0
50 / ABN / 10 / 7 / 13.8 / 1 / 0
51 / ABN / 10 / 2 / 10 / 0 / 1
52 / ABN / 11 / 7 / 12.9 / 0 / 1
53 / ABN / 11 / 2 / 15.4 / 1 / 0
54 / ABN / 11 / 7 / 14.5 / 0 / 2
55 / ABN / 12 / 7 / 12.6 / 0 / 2
56 / ABN / 12 / 2 / 11.8 / 0 / 0
57 / ABN / 12 / 2 / 12.8 / 0 / 0
58 / ABN / 12 / 7 / 16.8 / 0 / 1
59 / CBC / 1 / 7 / 14 / 0 / 1
60 / CBC / 1 / 1 / 11.3 / 1 / 0
61 / CBC / 2 / 1 / 13.6 / 0 / 0
62 / CBC / 2 / 7 / 12.9 / 1 / 0
63 / CBC / 3 / 1 / 13.2 / 1 / 0
64 / CBC / 3 / 7 / 16 / 1 / 0
65 / CBC / 4 / 1 / 14.6 / 1 / 1
66 / CBC / 4 / 7 / 16.6 / 0 / 1
67 / CBC / 5 / 1 / 17.5 / 1 / 0
68 / CBC / 5 / 7 / 11.6 / 0 / 0
69 / CBC / 5 / 7 / 8.9 / 0 / 0
70 / CBC / 6 / 1 / 15.6 / 0 / 0
71 / CBC / 6 / 7 / 9.2 / 0 / 1
72 / CBC / 6 / 1 / 11.8 / 0 / 0
73 / CBC / 7 / 7 / 11 / 0 / 0
74 / CBC / 7 / 1 / 9.5 / 1 / 0
75 / CBC / 8 / 7 / 11.6 / 0 / 0
76 / CBC / 8 / 1 / 13.3 / 1 / 0
77 / CBC / 8 / 1 / 13.6 / 1 / 0
78 / CBC / 9 / 1 / 12.4 / 0 / 0
79 / CBC / 9 / 1 / 13.8 / 1 / 0
80 / CBC / 9 / 7 / 11.9 / 1 / 0
81 / CBC / 10 / 1 / 14.6 / 0 / 0
82 / CBC / 10 / 1 / 15.8 / 1 / 1
83 / CBC / 10 / 1 / 15.4 / 0 / 1
84 / CBC / 11 / 1 / 12.8 / 0 / 0
85 / CBC / 11 / 7 / 12.8 / 0 / 0
86 / CBC / 12 / 1 / 15.1 / 0 / 0
87 / CBC / 12 / 1 / 11.4 / 0 / 1
88 / CBC / 12 / 1 / 19.1 / 1 / 0