A popular television show recently released a video preview for the upcoming season on its website. As fans of the show discover the video, the number of views of the preview video has grown each day during the last 2 weeks. The number of days since the release of the video and the natural log of the number of video views is shown in the scatterplot. A graph titled l n (views) versus days has days on the x-axis, and l n (views) on the y-axis. A line of best fit has positive slope. A graph titled residuals versus days has days on the x-axis, and residual on the y-axis. Points are spread throughout the graph. Based on the scatterplot and residual plot, what type of model would be appropriate for summarizing the relationship between days and number of views? An exponential model is appropriate because the residual plot does not show a clear pattern. A linear model is appropriate because the scatterplot shows a strong, positive linear relationship. A power model is appropriate because the scatterplot of days and natural log of views is strong and linear. An exponential model is appropriate because the relationship between days and the natural log of views is linear, and the residual plot does not show a clear pattern.

Question

20-02-2024
Mathematics

contestada

A popular television show recently released a video preview for the upcoming season on its website. As fans of the show discover the video, the number of views of the preview video has grown each day during the last 2 weeks. The number of days since the release of the video and the natural log of the number of video views is shown in the scatterplot. A graph titled l n (views) versus days has days on the x-axis, and l n (views) on the y-axis. A line of best fit has positive slope. A graph titled residuals versus days has days on the x-axis, and residual on the y-axis. Points are spread throughout the graph. Based on the scatterplot and residual plot, what type of model would be appropriate for summarizing the relationship between days and number of views? An exponential model is appropriate because the residual plot does not show a clear pattern. A linear model is appropriate because the scatterplot shows a strong, positive linear relationship. A power model is appropriate because the scatterplot of days and natural log of views is strong and linear. An exponential model is appropriate because the relationship between days and the natural log of views is linear, and the residual plot does not show a clear pattern.

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alyammahimeme12 alyammahimeme12 · Answer 1 · 2024-02-20T14:35:32+01:00

Answer:

So, the correct choice is: An exponential model is appropriate because the relationship between days and the natural log of views is linear, and the residual plot does not show a clear pattern.

Step-by-step explanation:

Based on the description provided, it seems like the scatterplot of the natural log of views versus days shows a strong and linear relationship. Additionally, the residual plot does not show a clear pattern, indicating that the assumptions of linearity and constant variance are met.

Therefore, the appropriate model for summarizing the relationship between days and the number of views would be an exponential model. Specifically, the relationship between the natural log of views and days is linear, which suggests that the growth of views over time follows an exponential pattern.

So, the correct choice is: An exponential model is appropriate because the relationship between days and the natural log of views is linear, and the residual plot does not show a clear pattern.