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= 1.405x-12.668. Complete parts (a) and (b) belo 758 767 785 820 835 889 927 Average Weekly Wages (state), x 1008 1045 1120 1150 1202 1255 1278 12 Average Weekly Wages (federal), y (a) Find the coefficientof determination and interpret the result. (Round to three decimal places as needed.)
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 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 1.405x-12.668. Complete parts (a) and (b) below.
Average Weekly Wages (state), x
758
767
785
820
Average Weekly Wages (federal), y
835
889
927
948
1008
1045
1120
1150
1202
1255
1278
1292
(a) Find the coefficienkof determination and interpret the result.
(Round to three decimal places as needed.)
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