Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be population). A random sample of six Denver neighborhoods gave the following information. X y y = b= ŷ = Σx = 75; Σy = 589; Σx2 = 1,523; Ey² = 72,837; Exy = 10,078 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. X= 200 150 32 2 175 33 100 50 11 132 + (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y y 6 17 7 127 69 53 X 200 150 100 50

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Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a
population). A random sample of six Denver neighborhoods gave the following information.
32
IX IN
| Y
Ex = 75; Ey = 589; Ex² = 1,523; Σy² = 72,837; Exy = 10,078
(a)
Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. R
II
D =
200
150
(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.
y
y
100
7
69
+
50
6
200
150
100
50
Transcribed Image Text:Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a population). A random sample of six Denver neighborhoods gave the following information. 32 IX IN | Y Ex = 75; Ey = 589; Ex² = 1,523; Σy² = 72,837; Exy = 10,078 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. R II D = 200 150 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y y 100 7 69 + 50 6 200 150 100 50
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We have given the x = percentage change in the neighborhood population

y = dependent variable

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