Question: Construct a 99% prediction interval for the mean annual wage in Exercise 15 when the percentage of employment in STEM occupations is 13% in the

Construct a 99% prediction interval for the mean annual wage in Exercise 15 when the percentage of employment in STEM occupations is 13% in the industry.

Construct the indicated prediction interval and interpret the results.

Data from exercise 15:

The table shows the percentage of employment in STEM (science, technology, engineering, and math) occupations and mean annual wage (in thousands of dollars) for 16 industries. The equation of the regression line is ŷ = 1.153x + 46.374.

Percentage of employment in STEM occupations, x 10.5 15.8 1.6 11.0 8.4 1.1 23.7 7.0 Mean annual wage, y 51.3 49.6 54.8 6

Percentage of employment in STEM occupations, x 10.5 15.8 1.6 11.0 8.4 1.1 23.7 7.0 Mean annual wage, y 51.3 49.6 54.8 63.3 73.1 46.2 70.4 67.4 Percentage of employment in STM occupations, x 16.7 3.7 4.8 1.0 1.0 34 1.4 8.4 Mean annual wage, y 45.0 77.6 79.6 36.7 52.4 51.0 39.2 57.4

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