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 = 1.530x-123.860. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 762 992 (a) Find the coefficient of determination and interpret the result. 2= (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? S₂ = (Round to two decimal places as needed.) How can the standard error of estimate be interpreted? 773 1044 The coefficient of determination is the fraction of the variation in average weekly wages for average weekly wages for and is represented by due to other factors or to sampling error. (b) Find the standard error of estimates and interpret the result. The standard error of estimate of the average weekly wage for is about s dollars. 796 1117 817 1155 844 1196 for 878 1252 The remaining fraction of the variation, 931 1281 948 1301 that can be explained by the variation i is unexplained and is average weekly wage for n

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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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 = 1.530x-123.860. Complete parts (a) and (b) below.
Average Weekly Wages (state), x
Average Weekly Wages (federal), y
762
992
(a) Find the coefficient of determination and interpret the result.
2-0
(Round to three decimal places as needed.)
How can the coefficient of determination be interpreted?
773
1044
Se
(Round to two decimal places as needed.)
How can the standard error of estimate be interpreted?
The coefficient of determination is the fraction of the variation in average weekly wages for
average weekly wages for
and is represented by
due to other factors or to sampling error.
(b) Find the standard error of estimates and interpret the result.
796
1117
The standard error of estimate of the average weekly wage for
is about s dollars.
817
1155
844
1196
for
878
1252
The remaining fraction of the variation,
931
1281
that can be explained by the variation in
, is unexplained and is
948 Q
1301
average weekly wage for
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 = 1.530x-123.860. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 762 992 (a) Find the coefficient of determination and interpret the result. 2-0 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? 773 1044 Se (Round to two decimal places as needed.) How can the standard error of estimate be interpreted? The coefficient of determination is the fraction of the variation in average weekly wages for average weekly wages for and is represented by due to other factors or to sampling error. (b) Find the standard error of estimates and interpret the result. 796 1117 The standard error of estimate of the average weekly wage for is about s dollars. 817 1155 844 1196 for 878 1252 The remaining fraction of the variation, 931 1281 that can be explained by the variation in , is unexplained and is 948 Q 1301 average weekly wage for
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