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. (e) If someone had x = 3 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) thousand dollars (f) Find Se. (Round your answer to three decimal places.) Se = (g) Find a 90% confidence interval for the annual salary of an individual with x = 3 job changes. (Round your answers to two decimal places.) lower limit thousand dollars upper limit thousand dollars (h) Test the claim that the slope ? of the population least-squares line is positive at the 5% level of significance. (Round your test statistic to three decimal places.) t =
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.
(e) If someone had x = 3 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.)
thousand dollars
(f) Find Se. (Round your answer to three decimal places.)
Se =
(g) Find a 90% confidence interval for the annual salary of an individual with x = 3 job changes. (Round your answers to two decimal places.)
lower limit | thousand dollars |
upper limit | thousand dollars |
(h) Test the claim that the slope ? of the population least-squares line is positive at the 5% level of significance. (Round your test statistic to three decimal places.)
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