The table below shows the average weekly wages? (in dollars) for state governmen
ID: 2948059 • Letter: T
Question
The table below shows the average weekly wages? (in dollars) for state government employees and federal government employees for 10 years. Construct and interpret a 90% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $847.
The equation of the regression line is ModifyingAbove y=1.527x-117.366 .
Wages (state), x Wages (federal), y
757 1,020
771 1,045
793 1,107
810 1,144
858 1,184
883 1,249
911 1,280
939 1,305
956 1,345
983 1,374
Construct and interpret a
9090?%
prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is
$ 847.$847.
Select the correct choice below and fill in the answer boxes to complete your choice.
?(Round to the nearest cent as? needed.)
A.
There is a 90% chance that the predicted average weekly wages of federal government employees is between
?$_ and $_ given a state average weekly wage of $847.
B.
We can be 90% confident that when the average weekly wages of state government employees is
?$847 the average weekly wages of federal government employees will be between
?$_
and
?$_
13300804ueshonld-25&fushed; faseicld S0131508icenter 12023-W15Fc-6818-51 Morgan BennettI 7/13/18 1:1 mework: Unit VIl Homework e: 0 of 5 pts 422 of 23 (23 complete) HW Score: 91 1296, 10752 of t 9.3.25-? 3 Assigned Media Question Hetp dollars) for state govsrnment employses and federal government employees for 10 years Construct and in % prediction interval for the average weekly wages of federal government employees when equation of the regression line isy #1.527x-117 366 ges (state). ge weekdy wages of state go ernment employess is 793 810 858 883911 939 956 983 1020 1045 1107 114 1184 1249 1280 1305 1345 1374 757 m stuct and marprat a 50% prediction interval tor the average weekly wages of federal government employees when the average waakiy wages of state gove ployees is $847 Select the correct choice below and ill in the answer boxes to completa your choice. ound to the nearest cent as neaded ) There is a 50% chance that tha predicted average weekly wages of faderal government employees is between S wage of $8417 We can be 90% cons sent that when the average weekly wages o state go emment employees is sen employees wil be between $and S and s r given a state average weekly A. e sverige eekty ages of federal anan met : BExplanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -117.36629 + 1.5271519 x
Sample size: 10
R (correlation coefficient) = 0.99271231
R-sq = 0.98547774
Estimate of error standard deviation: 15.902542
Parameter estimates:
Analysis of variance table for regression model:
Predicted values:
Hence
Option A; 1145.03, 1207.23
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -117.36629 56.989708 ? 0 8 -2.0594295 0.0734 Slope 1.5271519 0.065543702 ? 0 8 23.299751 <0.0001Related Questions
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