Percentage of employment in STEM occupations, x Mean annual wage, y 62.3 11.0 16.5 74.0 1.8 51.3 10.6 49.5 8.7 53.8 1.0 45.4 23.1 71.4 7.0 67.3 1.0 45.0 33.2 78.5 16.6 79.3

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The accompanying 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
y = 1.218x+ 45.915. Use these data to construct a 95% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 14% in the industry. Interpret this interval.
Click the icon to view the mean annual wage data.
Construct a 95% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 14% in the industry.
Mean Annual Wage
(Round to three decimal places as needed.)
Mean annual
Percentage of employment in
STEM occupations, x
wage, y
11.0
62.3
16.5
74.0
1.8
51.3
10.6
49.5
8.7
53.8
1.0
45.4
23.1
71.4
7.0
67.3
1.0
45.0
33.2
78.5
16.6
79.3
2.9
36.6
4.5
53.4
1.0
51.6
1.0
39.7
8.7
56.5
Enter your answer in the edit fields and then click Check Answer.
Print
Done
Final Check
1
1 part
remaining
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Transcribed Image Text:The accompanying 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 y = 1.218x+ 45.915. Use these data to construct a 95% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 14% in the industry. Interpret this interval. Click the icon to view the mean annual wage data. Construct a 95% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 14% in the industry. Mean Annual Wage (Round to three decimal places as needed.) Mean annual Percentage of employment in STEM occupations, x wage, y 11.0 62.3 16.5 74.0 1.8 51.3 10.6 49.5 8.7 53.8 1.0 45.4 23.1 71.4 7.0 67.3 1.0 45.0 33.2 78.5 16.6 79.3 2.9 36.6 4.5 53.4 1.0 51.6 1.0 39.7 8.7 56.5 Enter your answer in the edit fields and then click Check Answer. Print Done Final Check 1 1 part remaining javascript:doExercise(28); MacBook Ar 吕口 888 44 PD F9 F10 F11 esc F5 F6 F7 F3 F4 $4 4 7 Q R T. OP tab A G H. K caps lock C shift 34 MOSISO command option control option command M * 00 LO 38
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