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You need to determine the y-intercept of the regression line for a data set. The sums...

You need to determine the y-intercept of the regression line for a data set. The sums of the variables and the slope are given below.

begin mathsize 22px style m space equals space 5.044304 n space equals space 10 capital sigma x space equals space 42 capital sigma y space equals space 773 capital sigma x y space equals space 3406 capital sigma x squared space equals space 208 capital sigma y squared space equals space 60 comma 875 end style

Find the y-intercept, only. round to the thousandths place

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Answer #1

Answer

we have the following data values

n = 10

2

Ly-773

ху-3406

2.2-208

60,875

Formula for the y intercept(b) is given as

b= [(sum y *sum x^2)-(sum x * sum xy)]/[(n*sum x^2)-(sum x)^2]

setting the given values, we get

b (773 208) (42 3406)1/[(10 208) (42)1 17732/316

this gives us

intercept b = 17732/316 = 56.114 (rounded to thousandths place)

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