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Kenji runs a channel where he uploads and shares videos that he makes. He noticed an exponential

relationship between how long his videos have been posted and the number of times each video has been

viewed.

Kenji took the natural logarithm for the numbers of views only, and he noticed a linear relationship

between the how long his videos have been posted and the transformed numbers of views

Here's the least-squares regression equation for the transformed data, where "time" represents days since

posting, and "views" is the number of views

In(views) = 0.81(time) + 3.15

According to this model, what is the predicted number of views on a video that's been posted for 3 days?

You may round your answer to the nearest whole number.

views

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Sagot :

Using the logarithmic function, it is found that the predicted number of views of the video after 3 days is of 57.

The function that represented the relationship between the time in days and the number of views is given by:

[tex]\ln{v} = 0.81\ln{t} + 3.15[/tex]

We want the number of views after 3 days, thus, [tex]t = 3[/tex], and we have to solve for v.

[tex]\ln{v} = 0.81\ln{3} + 3.15[/tex]

[tex]\ln{v} = 0.89 + 3.15[/tex]

[tex]\ln{v} = 4.04[/tex]

[tex]e^{\ln{v}} = e^{4.04}[/tex]

[tex]v = 57[/tex]

57 views.

A similar problem is given at https://brainly.com/question/24286043

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