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 ​$879. The equation of the regression line is ModifyingAbove y with caret equals 1.369 x plus 32.849 .

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 $879. The equation of the regression line is y 1.369x+32.849 Wages (state), x Wages (federal), y 783 950 705 770 801 858 869 926 989 018 1,061 1,108 1,143 1,181230 1,283 ,307 ,34 1,403 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 $879. Select the correct choice below and fill in the answer boxes to complete your choice Round to the nearest cent as needed.) O A We can be 90% confident that when the average weekly wages of state government employees is $879, the average weekly wages of federal government employees will be between $and $ OB There is a 90% chance that the predicted average weekly wages of federal government employees is between $ $879. and $ given a state average weekly wage of

Answer 1

EXCEL Mega Stat) output Regression Analysis 0.982 r 0.991 Std. Error 18.217 Dep. Var. Wages (federal) ANOVA table Source df 1141,629.5507 426.76 3.16E-08 MS value Regression 141,629.5507 Residual 2,654.9493 Total 144.284.5000 331.8687 Regression out confidence interval t (df-8 p-value 90% lower 90% upper std coeff. 5812 73.4280 139.1263 0.000 1.4921 0.991 variables coefficients std. error Intercept 32.8491 57.1521 1.3689 0.0663 0.575 20.658 3.16E-08 1.2457 Wages (state Predicted values for: Wages (federal Wa 90%Confidence Interval -90%Prediction later al Predictedloer 1,236.110 1.225.092 1,247.128 1,200.487 1,271.732 state 879 eUpp lowerupper Leverage 0.106 B. There is a 90% chance that the predicted average weekly wages of federal government employees is between S1201 and S1272, given a state average weekly wage of $879