A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. x (number of job changes) 5 3 4 6 1 5 9 10 10 3 y (Salary in $1000) 36 35 38 32 32 38 43 37 40 33   In this setting we have Σx = 56, Σy = 364, Σx2 = 402, Σy2 = 13,364, and Σxy = 2107. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.) x =  y =  b =  ŷ =  +  x

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information.

x (number of job changes) 5 3 4 6 1 5 9 10 10 3
y (Salary in $1000) 36 35 38 32 32 38 43 37 40 33
 

In this setting we have Σx = 56, Σy = 364, Σx2 = 402, Σy2 = 13,364, and Σxy = 2107.

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.)
x
y
b
ŷ +  x

 

 

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