In economist studying the job market in Denver area neighborhoods. The X represent the total number of jobs in a given neighborhood, why represent the number of entry-level jobs in the same neighborhood example of six Denver neighborhoods give the following information (units in hundreds of jobs).  x 13 30 50 28 50 25 y 1 4 6 5 9 3  given Σx = 196 Σy=28 Σx2=7478 Σy2=168 Σxy = 1098 and r = .9150  a) find x and y Then find the equation of the least squares line y=a+BMX (round your answers to four decimal places)  x=  y=  y=__+__x b) 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 ans 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 places.)  r2 =  explained = __% unexplained=__% c) for a neighborhood with x=45 hundred jobs, how many are predicted to be entry level jobs?(Round your answers to two decimal places) ___ hundred jobs

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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In economist studying the job market in Denver area neighborhoods. The X represent the total number of jobs in a given neighborhood, why represent the number of entry-level jobs in the same neighborhood example of six Denver neighborhoods give the following information (units in hundreds of jobs). 
x 13 30 50 28 50 25

y 1 4 6 5 9 3 

given Σx = 196 Σy=28 Σx2=7478 Σy2=168 Σxy = 1098 and r = .9150 

a) find x and y Then find the equation of the least squares line y=a+BMX (round your answers to four decimal places) 

x= 

y= 

y=__+__x

b) 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 ans the least squares line? What percentage is unexplained? ( Round your answer for rto four decimal places. Round your answers for the percentages to two decimal places.) 

r2

explained = __%
unexplained=__%

c) for a neighborhood with x=45 hundred jobs, how many are predicted to be entry level jobs?(Round your answers to two decimal places) ___ hundred jobs 

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