An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). x 17 34 50 28 50 25 y 2 4 5 5 9 3 a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r= b) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) x = y = ŷ = _______ + ______ x
An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs).
x 17 34 50 28 50 25
y 2 4 5 5 9 3
a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample
Σx =
Σy =
Σx2 =
Σy2 =
Σxy =
r=
b) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.)
x =
y =
ŷ = _______ + ______ x
we want to find the value
Σx =
Σy =
Σx2 =
Σy2 =
Σxy =
r=
and equation
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