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

Question

The table below shows the average weekly wages (in dollars) for state government employees and federal government employees for 10 the average weekly wages of federal government employees when the average weekly wages of years. Construct and interpret a 99% prediction interval for state government employees is $891. The equation of the regression line is y 1.405x-5.010. Wages (state), X 709 774 794 823 858 889 911 935 955 978 1,025. 1067|1,104. 1, 139-1,1871232| 120 1.298|1,338 1,400 wages (federal). y Construct and interpret a 99% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $891 Select the correct choice below and fill in the answer boxes to complete your choice (Round to the nearest cent as needed.) A. We can be 99% confident that when the average weekly wages of state government employees is $891, the average weekly wages of federal government employees will be between $1 ] and S There is a 99% chance that the predicted average weekly wages of federal government employees is between S and S .given a state average weekly wage of $891 B.

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -5.0097828 + 1.4050658 x
Sample size: 10
R (correlation coefficient) = 0.98897706
R-sq = 0.97807563
Estimate of error standard deviation: 19.376797

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

Option B; 1178.35; 1315.46

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -5.0097828 64.448123 0 8 -0.077733572 0.9399 Slope 1.4050658 0.074375345 0 8 18.891554 <0.0001

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