The table below shows the average weekly wages? (in dollars) for state governmen
ID: 2948167 • 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 ?$857.
Wages (state), x Wages (federal), y
728 1,003
752 1,054
781 1,105
814 1,142
850 1,195
870 1,248
913 1,275
921 1,295
948 1,343
961 1,391
The equation of the regression line is ModifyingAbove y=1.530x-100.948 .
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 $ 857. Select the correct choice below and fill in the answer boxes to complete your choice.
A.
We can be 90?% confident that when the average weekly wages of state government employees is ?$857?, the average weekly wages of federal government employees will be between _ and _ .
B. 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 ?$857.
lomework: Unit VII Homework ore: 0 of 5 pts 22 01 23 23 complete) HW Score: 91 12% 9.3.25-T 2 Assigned Media The table below shows the average weekly wages in dollars) for stats govemment employees and federal government employees for 10 years Co 90% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government en The equation of the repression line ay 1.530x-100 948 state), x 728 752781814850 921 948 951 1003 1054 1 505 1142 195 1248 1275 1295 1343 1391 Wages federall.y Construct and interpret a 90% prediction interval for the average weekly wages of federal government employees when the average weekly employees ln $857 Select the correct chaice below and il in the anewer baxes to completa your choice Round to the nearest cent as nesded wages of OA e can be 0s contfident that whan the average weekty wages of late govemiment enployes a $857 the avenage wieekiy wages of fedterel employces all be between S and S There is 8 90% chancs that the predicted average weekly wages of federal government employees is between S wage of $857 ? B. andExplanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -100.94752 + 1.5296879 x
Sample size: 10
R (correlation coefficient) = 0.9941504
R-sq = 0.98833502
Estimate of error standard deviation: 14.59875
Parameter estimates:
Analysis of variance table for regression model:
Predicted values:
Hence,
Option B; 1181.52, 1238.47
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -100.94752 50.377339 ? 0 8 -2.003828 0.08 Slope 1.5296879 0.058755407 ? 0 8 26.034845 <0.0001Related Questions
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