Suppose the line of best fit for some data points has a slope of 1.885. If the mean of the x-coordinates of the data points is 3

Question

3 years ago

5

.448, and the mean of the y-coordinates is 12.318, what is the y-intercept of the line to three decimal places?

2 answers:

Novay_Z [31] · Answer 1 · 2022-01-25T19:46:58+03:00

7 0

Answer:

5.819.

Step-by-step explanation:

The correct answer is: 5.819.

larisa86 [58] · Answer 2 · 2022-01-25T18:29:01+03:00

Step-by-step Answer:

One of the properties of a least-squares regression line (line of best fit) is that the line always passes through the point (xbar, ybar).

Assuming the given "line of best fit" is a least-squares line, then we are given

a slope m=1.885 passing through (x0,y0)=(3.448,12.318).

Applying the standard point-slope formula:

(y-y0) = m (x-x0)

we get

y-12.318 = 1.885(x-3.448)

Expand and simplify,

y=1.885x -1.885*3.448 + 12.318, or

y=1.885(x) + 5.81852

(numbers to be rounded as precision dictates).