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. SSxx = 1303.9 SSxy= 1503.0 %3D SSy = 2660.2 Ex = 150 .1 Ey = 915 n = 16 !! 1sxs 34 36.7 s y s 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.

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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.
SSXX = 1303.9
SSxy= 1503.0
%3D
SSy
= 2660.2
Ex = 150 .1
Ey = 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.
Transcribed Image Text: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. SSXX = 1303.9 SSxy= 1503.0 %3D SSy = 2660.2 Ex = 150 .1 Ey = 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.
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