The table below shows the average weekly wages? (in dollars) for state governmen

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. and

Explanation / 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 <0.0001

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