- Earnings Length Group 30 82 54 5 Iii 8 26 51 46 Ii 31 87 38 74 Iii 6 49 53 64 Ii 16 1 44 53 I 3 17 53 13 Ii 5 84 43 4 I 1 (40.77 KiB) Viewed 204 times
- Earnings Length Group 30 82 54 5 Iii 8 26 51 46 Ii 31 87 38 74 Iii 6 49 53 64 Ii 16 1 44 53 I 3 17 53 13 Ii 5 84 43 4 I 2 (78.92 KiB) Viewed 204 times
Unless otherwise stated, carry out inferences using a = 0.05. Hypotheses should be written in terms of parameters when possible, and conclusions of hypothesis tests should be given using the context of the problem. A new video hosting platform has been trying to recruit content creators. The platform earns money every time a viewer subscribes to a given channel, but the platform has to pay web hosting fees for every video supported by the platform. The file web_hosting.txt contains data on 72 channels. The Earnings column contains the average monthly channel earnings (which may be negative) in thousands of dollars. The Length column gives the average length of a video on the channel, in minutes. Finally, a column labeled Group classifies a particular channel with the label I, II, or III. a) Interpret the value of b, from the Coefficients table using the context of the problem. Also choose one of the estimates under the heading "Group" and provide an interpretation b) One question of interest is whether the group-specific regression functions have the same slope. Produce three separate scatter plots of Earnings vs. Length; one for each Group classification. Include a regression line in each plot, and comment on what you see. c) Perform a single hypothesis test of whether the three group-specific regression lines have the same slope. Give the hypotheses, test statistic, p-value, and conclusion, d) State the p-value (from the full model) corresponding to a test of whether Length is a significant predictor of Earnings. e) Given the results of the test, can we drop Length from the model? Explain.