Question

In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend.

SS_{xx} = 1303.9 SS_{xy}= 1503.0 SS_{yy}
= 2660.2 Σx = 150 .1 Σy = 915 n = 16

1 ≤ x ≤ 34 36.7 ≤ y ≤ 90.5 r = .81

What percentage of the variation in mean annual compensation can be explained by the percentage employment in STEM for an industry? Enter your answer to the nearest percentage between 0 - 100.

Answer #1

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) 7 4 5 6 1 5 9 10 10 3 y (Salary in $1000) 38 32 34
32 32 38 43 37 40 33 Σx = 60; Σy = 359; Σx2 =...

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)
3
5
4
6
1
5
9
10
10
3
y
(Salary in $1000)
37
32
34
32
32
38
43
37
40
33
Σx = 56; Σy = 358; Σx2 =...

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) 4 7 5 6 1 5 9 10 10 3
y (Salary in $1000) 34 33 32 32 32 38 43 37 40 33
In this setting we have Σx = 60,...

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