x 13 32 50 28 50 25 y 1 2 6 5 9 3 a.given Σx = 198, Σy = 26, Σx2 = 7602, Σy2 = 156, Σxy = 1042, and r ≈ 0.8553 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= c. Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2= explained= % unexplained= % d. For a neighborhood with x = 35 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) hundred jobs

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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x 13 32 50 28 50 25
y 1 2 6 5 9 3

 

a.given Σx = 198, Σy = 26, Σx2 = 7602, Σy2 = 156, Σxy = 1042, and r ≈ 0.8553

 

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=

 

c. Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.)
r2=
explained= %
unexplained= %
 
d. For a neighborhood with x = 35 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)
 hundred jobs
Expert Solution
Step 1

For given data

Find

( a ) Verify

Σx = 198, Σy = 26, Σx2 = 7602, Σy2 = 156, Σxy = 1042, and r ≈ 0.8553

( b )

Find x bar and y bar

find the equation of the least-squares line ŷ = a + bx

( c )

r2=
explained= %
unexplained= %
( d )
For a neighborhood with x = 35 hundred jobs, how many are predicted to be entry level jobs?
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