The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y 1.483x- 85.072. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 754 771 800 1118 837 892 1247 820 924 948 995 1050 1142 1198 1271 1301 . (a) Find the coefficient of determination and interpret the result (Round to three decimal places as needed) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in average weekly wages for (1) due to other factors or to sampling error. - and is represented by (3) – - The remaining fraction of the variation. (4). that can be explained by the variation in average weekly wages for (2) is unexplained and in (b) Find the standard error of estimate s, and interpret the result. (Round to two decimal places as needed.) How can the standard error of estimate be interpreted? The standard error of estimate of the average weekly wage for (5). for (6) average weekly wage for (7) is about s, dollars O state government employees O federal govemment employees O all government employees in the last 8 years O state government employees O federal government employees O all government employees in the last 8 years (3) O . O 1-7. (4) O? O 1-? O state govermment employees O federal government employees O all government employees in the last 8 years O state govermment employees O federal government employees O all government employees in the last 8 years (1) (2) (5) (6) O a specific O any the range of (7)
The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y 1.483x- 85.072. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 754 771 800 1118 837 892 1247 820 924 948 995 1050 1142 1198 1271 1301 . (a) Find the coefficient of determination and interpret the result (Round to three decimal places as needed) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in average weekly wages for (1) due to other factors or to sampling error. - and is represented by (3) – - The remaining fraction of the variation. (4). that can be explained by the variation in average weekly wages for (2) is unexplained and in (b) Find the standard error of estimate s, and interpret the result. (Round to two decimal places as needed.) How can the standard error of estimate be interpreted? The standard error of estimate of the average weekly wage for (5). for (6) average weekly wage for (7) is about s, dollars O state government employees O federal govemment employees O all government employees in the last 8 years O state government employees O federal government employees O all government employees in the last 8 years (3) O . O 1-7. (4) O? O 1-? O state govermment employees O federal government employees O all government employees in the last 8 years O state govermment employees O federal government employees O all government employees in the last 8 years (1) (2) (5) (6) O a specific O any the range of (7)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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.
Question
Transcribed Image Text:6.
The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.483x - 85.072. Complete parts (a) and (b) below.
Average Weekly Wages (state), x
Average Weekly Wages (federal), y
754
771
800
820
837
892
924
948
995
1050
1118
1142
1198
1247
1271
1301
(a) Find the coeficient of determination and interpret the result.
(Round to three decimal places as needed.)
How can the coefficient of determination be interpreted?
and is represented by (3)
is unexplained and is
The coefficient of determination is the fraction of the variation in average weekly wages for (1)
due to other factors or to sampling error.
that can be explained by the variation in average weekly wages for (2)
The remaining fraction of the variation, (4)
(b) Find the standard error of estimate s, and interpret the result.
Se =
(Round to two decimal places as needed.)
How can the standard error of estimate be interpreted?
The standard error of estimate of the average weekly wage for (5)
for (6)
average weekly wage for (7)
is about s, dollars.
O state government employees
O federal government employees
O all government employees in the last 8 years
O state government employees
O federal government employees
O all government employees in the last 8 years
(3) O .
O 1-?.
(4) O ?
O 1-?
O state government employees
O federal government employees
O all government employees in the last 8 years
(6) O a specific
O any
O the range of
O state government employees
O federal government employees
O all government employees in the last 8 years
(1)
(2)
(5)
(7)
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