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olga nikolaevna [1]
2 years ago
14

Suppose the line of best fit for some data points has a slope of 4.915. If the mean of the x-coordinates of the data points is 1

4.347, and the mean of the y-coordinates is 10.088, what is the y-intercept of the line to three decimal places?
Mathematics
1 answer:
aleksley [76]2 years ago
5 0

The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.

<h3>What is a linear function?</h3>

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.

For a line of best-fit, the y-intercept is given by:

b = \overline{y} - m\overline{x}

The parameters in this problem are given as follows:

m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088

Then:

b = 10.088 - 4.915(14.347) = -60.428

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

#SPJ1

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Step-by-step explanation:

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