Tina recorded data to represent the amount of carbon dioxide in the atmosphere. She determined the
equation of the least squares line to be y = 357 +0.17%, where x is the number of months since
January 1995, and y is the number of carbon dioxide molecules per million air particles. What does the
value 357 represent in this context?

Question

25-01-2021
Mathematics

contestada

Tina recorded data to represent the amount of carbon dioxide in the atmosphere. She determined the
equation of the least squares line to be y = 357 +0.17%, where x is the number of months since
January 1995, and y is the number of carbon dioxide molecules per million air particles. What does the
value 357 represent in this context?

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joaobezerra joaobezerra · Answer 1 · 2022-06-08T11:20:27+02:00

Using linear function concepts, it is found that the value 357 represents the amount of carbon dioxide in the atmosphere in January 1995.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the linear function for the amount of carbon dioxide in the atmosphere in x months after January 1995 is given by:

y = 357 + 0.17x.

The y-intercept is of 357, hence the value 357 represents the amount of carbon dioxide in the atmosphere in January 1995(which is the equivalent to month 0).

More can be learned about linear functions at https://brainly.com/question/24808124

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