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.Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r =   r2 =   (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r =   r2 =   What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)  % (d) Test the claim that the population correlation coefficient ? is positive at the 5% level of significance. (Round your test statistic to three decimal places.) t =

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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.Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)

r =  
r2 =  

(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)

r =  
r2 =  

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
 %

(d) Test the claim that the population correlation coefficient ? is positive at the 5% level of significance. (Round your test statistic to three decimal places.)

t = 

 

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