Question

In a random sample of sixteen different industries the percentage employment x in STEM (science, technology,...

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 SSyy = 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.

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