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 1616 industries. The equation of the regression line is ModifyingAbove y with caret equals=1.125x+46.695. Use these data to construct a 90% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 12% in the industry. Interpret this interval. Construct a 90% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 12% in the industry. nothingless than
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The accompanying table shows the percentage of employment in STEM (science, technology, engineering, and math) occupations and
industries. The equation of the regression line is
Use these data to construct a
prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is
in the industry. Interpret this interval.
|
Percentage of employment in STEM occupations, x
|
Mean annual wage, y
|
|
|---|---|---|
|
9.6
|
63.3
|
|
|
16.2
|
72.5
|
|
|
2.4
|
50.7
|
|
|
10.2
|
50.4
|
|
|
8.6
|
54.3
|
|
|
1.0
|
45.6
|
|
|
24.6
|
70.4
|
|
|
6.4
|
66.9
|
|
|
1.3
|
44.9
|
|
|
34.1
|
76.8
|
|
|
16.5
|
80.6
|
|
|
3.2
|
36.8
|
|
|
5.5
|
53.0
|
|
|
0.5
|
51.3
|
|
|
1.8
|
39.8
|
|
|
7.9
|
58.4
|
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