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 – 12.307. Complete parts (a) and (b) bele Average Weekly Wages (state), x Average Weekly Wages (federal), y 751 760 791 817 835 881 924 951 1002 1047 1115 1149 1195 1250 1269 1300 (a) Find the coefficient of determination and interpret the result. 2 = 0.94 (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 federal government employees that can be explained by the variation in average weekly wages for state government employees and is represented by 2. The remaining fraction of the variation, 1-, is unexplained and due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. Se =D (Round to two decimal places as needed.)
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 – 12.307. Complete parts (a) and (b) bele Average Weekly Wages (state), x Average Weekly Wages (federal), y 751 760 791 817 835 881 924 951 1002 1047 1115 1149 1195 1250 1269 1300 (a) Find the coefficient of determination and interpret the result. 2 = 0.94 (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 federal government employees that can be explained by the variation in average weekly wages for state government employees and is represented by 2. The remaining fraction of the variation, 1-, is unexplained and due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. Se =D (Round to two decimal places as needed.)
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Transcribed Image Text: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 – 12.307. Complete parts (a) and (b) below.
Average Weekly Wages (state), x
Average Weekly Wages (federal), y
751
760
791
817
835
881
924
951
1002
1047
1115
1149
1195
1250
1269
1300
(a) Find the coefficient of determination and interpret the result.
r2 = 0.94
(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
federal government employees
that can be explained by the variation in average weekly wages for
state government employees
and is represented by r?.
The remaining fraction of the variation, 1-r, is unexplained and is due to other factors or to sampling error.
(b) Find the standard error of estimate s, and interpret the result.
Se =|
(Round to two decimal places as needed.)
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