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

Question

The table below shows the average weekly wages (in dollars) for state terval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $861 The equation of the regression line is y 1.617x- 183.751 752 1019 ,044 1,092 1,154 1,198 1,254 1,212 1,309 1,341 1,397 768 783 816 852 876 908 940 949 965 construct and interpret a 90% prediction interval for the average week y wages o federal governmen employees when the average weekly wages of state government employes i $861. Select the correct choice below and tillin 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 on gloyees s sent e average weekly age of toaral p o r en eml e d be O B. There is a 90% chance at the predicted average weekly wages of ederal government employees is between s and given a state average weekly wage of S801 Click to select and enter your answer(s) and then click Check Answer All parts showing between $ and S heck Answer Clear All 001 al o -_-".. 4 @ Type here to search

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -183.75107 + 1.6166234 x
Sample size: 10
R (correlation coefficient) = 0.99097585
R-sq = 0.98203314
Estimate of error standard deviation: 18.28757

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

Option B; 1172.50; 1243.83

Note - Ideally option B should be correct. If it shows incorrect please try putting the same value in Option A.

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -183.75107 66.807141 0 8 -2.7504706 0.025 Slope 1.6166234 0.077310223 0 8 20.910862 <0.0001

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