Question

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 14.347, and the mean of the y-coordinates is 10.088, what is the y-intercept of the line to three decimal places?

Answer 1

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

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.

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

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